Ameerun

Chapter 2 Simple Interest Exercise 2.1

Application 1:

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Application 2. In one year, if Shraboni would get Rs. 60 as interest at the rate of simple interest 5% per annum in the bank, then how much amount would she de posit, let us calculate and write it. 

Wbbse Class 10 Maths Ex 2.1

 

Application 3:

 

 

 

Application 4:

 

Application 5: Let us write in the blank calculate it

Wbbse Class 10 Maths Ex 2.1

Application: 6

Principal	Time	Rate of simple interest per annum	Principal with interest
	5 yrs.	3%	Rs.966
	6yrs	6%	Rs.13600

 

Wbbse Class 10 Math Exercise 2.1

Application 7:

Principal	Time	Rate of simple interest per annum	Principal with interest
Rs.6400		4 ½%	Rs.1008
Rs.500	5%	6%

 

Wbbse Class 10 Math Exercise 2.1

Application – 8

Question 1. Let us determine the rate of simple interest in percent per annum if the interest of Rs. 500 in 4 yrs. is 100.

 

Wbbse Class 10 Math Exercise 2.1 Question 2.

By calculating let us write the rate of simple interest in percent per annum when the principal with interest of Rs. 910 in 2 yrs. 6 months will be Rs. 955.50.

 

Application 9. The amount (principal along with interest) of same money becomes Rs. 496 in 3 yrs. and Rs. 560 in 5 yrs. at the same rate of simple interest in percent per annum. By calculating, let us write the principal and the rate of simple interest in percent per annum.

 

Application 10.

Bimalkaku deposited Rs. 1,87,500 for his son of 12 yrs. age and daughter of 14 yrs. age in the bank at the rate of simple interest  per annum in such away that both of them will get equal principal along with interest after reaching their 18 yrs. of age. Let us calculate the money he had deposited in the bank for each of his son and daughter.

Application 11. Jayanta deposits Rs. 1000 on the first day of every month in monthly savings scheme. In the bank, if the rate of simple interest is  per annum, then let us calculate the amount Jayanta will get at the end of 6 months.

Application – 12. Soma aunti deposits Rs. 6,20,000 in such a way in three banks at the rate of simple interest of  per annum for 2 yrs. and . respectively so that the total interests in the 3 banks are equal. Let us calculate the money deposited by Soma aunti in each of the three banks.

Chapter 1 Quadratic Equations In One Variable Exercise 1.5

Wbbse 10th Maths Exercise 1.5 Question 1.

Let us write the nature of two roots of the following quadratic equations:

1. 2x² + 7x+3=0

2. 3x²-2√6x+2=0

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3. 2x²– 7x+9=0

4. 2/5 x²-2/3x+1=0

Wbbse 10th Maths Exercise 1.5  Question 2.

By calculating, let us write the value/values of k for which each of the following quadratic equations has real and equal roots-

1. 49x² + kx + 1 = 0

2. 3x²-5x+2k = 0

 

3. 9x²-24x + k = 0

4. 2x² + 3x + k=0

5. x²-2 (5+ 2k) x + 3 (7+10k) = 0

6. (3k+ 1)x² + 2 (k+1)x + k = 0

Wbbse 10th Maths Exercise 1.5  Question 3.

Let us form the quadratic equations from two roots given below-

1. 4, 2

Solution: When roots are 4, 2:1

The required equation: x² (Sum of the roots) x + product of roots = 0 i.e., x² – (4+2)x + 4.2 = 0

or, x²-6x+8=0

2.-4, -3

Solution: When roots are -4, -3:

The required equation:- x² – (Sum of the roots) x + product of the roots = 0

i.e. ; x²(43) x + (-4) (-3)=0

or, x² + 7x+12=0

3. -4, 3

Solution: When roots are -4, 3:

The required equation: x² – (Sum of the roots) x + product of the roots = 0

i.e., x²-(-4+3) x + (-4).3 = 0

or, x² + 1x-12=0

or, x²+x-12=0

4. 5, -3

Solution: When roots are 5, -3:

The required equation: x² – (Sum of the roots) x + product of the roots = 0

i.e., x² (5-3) x + 5 (-3)=0

or, x²-2x-15=0+

Wbbse Quadratic Equation With One Variable Question 4.

For what value of m the two roots of the quadratic equation 4x² + 4 (3m -1) x + (m +7)=0 are reciprocal to each other?

Wbbse 10th Maths Exercise 1.5  Question 5.

If two roots of the quadratic equation (b-c)x² + (ca)x + (a – b) = 0 are equal, then let us prove that, 2b = a + c.

Question 6. If two roots of the quadratic equation (a²+ b²)x² -2 (ac + bd)x + (c² + d²) = 0 are equal, then let us prove that, a/c = b/d

Wbbse Quadratic Equation With One Variable Question 7.

Let us prove that the quadratic equation 2(a² + b²)x² + 2 (a + b) x + 1 = 0 has no real root if a b.

Wbbse Quadratic Equation With One Variable Question 8.

If two roots of the quadratic equation 5x²+2x-3= 0 are x and ẞ, then let us determine the value of :

1. α²+ β²

(2) α³ +ẞ³

(3) α² /B + B²/ α

Wbbse Quadratic Equation With One Variable Question 9.

If one root of the equation ax² + bx + c = 0 is twice of the other, then let us show that 2b² = 9ac.

Question 10. Let us form the equation whose roots are reciprocals to the roots of equation x² + px + 1 = 0.

Wbbse Class 10 Maths Exercise 1.5 Solutions Question 11.

Let us determine the equation whose roots are a square of the roots of equation x² + x + 1 = 0.

Chapter 1 Quadratic Equations In One Variable Exercise 1.5 Multiple Choice Questions

Wbbse Class 10 Maths Exercise 1.5 Solutions Question 1.

The sum of the two roots of the equation x²-6x + 2 = 0 is

1. 2

2. -2

3. 6

4. -6

Solution: Sum of the roots = – (-6)/1= 6………………(c)

 

Question 2. If the product of two roots of the equation x² – 3x + k = 10 is -2, then the value of k is

1. -2

2. -8

3. 8

4 12

Solution: or, x² – 3x + (k-10) = 0

Product of the roots = k -’10

K-10=-2              k10-28 —–(c)

 

Wbbse Class 10 Maths Exercise 1.5 Solutions

Question 3. If two roots of the equation ax² + bx + c = 0 (a + 0) are real and unequal, then b² -4ac will be

1. > 0

2. = 0

3. < 0

4. None of these

Solution: The roots of the equation ax² + bx + c = 0 (a + 0)

are real & unequal if b²-4ac >0—– (a).

Product of the roots = k -’10

k-10=-2              k10-28 —–(c)

Wbbse Class 10 Maths Exercise 1.5 Solutions

Question 4. If two roots of the equation ax2 + bx + c = 0 (a + 0) are real and unequal, then b2 -4ac will be

1. > 0

2. = 0

3. < 0

4. None of these

Solution: The roots of the equation ax2 + bx + c = 0 (a + 0)

are real & unequal if b²-4ac >0—– (a).

Question 5. If two roots of the equation ax2 + bx + c = 0 (a + 0) be equal, then

1. c=-b/2a

2. c=b/2a

3. c= -b²/4a

4. c=b²/4a

Solution: The roots of the equation ax2 + bx + c = 0 will be equal if b2 = 4ac.

or, c =b²/4a

 

Question 6. If two roots of the equation 3x² + 8x+2=0 be∞ and ẞ, then the value of (1/∞+1/ ẞ) is

1. -3/8

2. 2/3

3. -4

4. 4

 

Wbbse Class 10 Maths Exercise 1.5 Solutions

Chapter 1 Quadratic Equations In One Variable Exercise 1.5 True or False:

Question 1. The roots of equation x² + x + 1 = 0 are real.

Answer: False, as here b²-4ac1-4.1.1-4 <1.

Question 2. The roots of the equation x² – x + 2 are not real.

Answer: True, as here b²-4ac = (-1)2-4.1.2-1-8-7 <1.

Chapter 1 Quadratic Equations In One Variable Exercise 1.5  Fill in the blanks:

Question 1. The ratio of the sum and the product of two roots of equation 7x² – 12x + 18 = 0 ——————-

Question 2. If two roots of the equation ax² + bx + c = 0 (a + 0) are reciprocal to each other, then c =—————–

Question 3. If two roots of the equation ax² + bx + c = 0 (a + 0) are reciprocal to each other and opposite (negative),

Chapter 1 Quadratic Equations In One Variable Exercise 1.5 Short Answers

1. Let us write the quadratic equation if the sum of its roots is 14 and the product of them is 24.

Solution: The sum of the roots. 14 & the product of the roots = 24.

The required equation is x² – 14x + 24 = 0.

2. If the sum and the product of two roots of the equation kx² + 2x + 3k = 0 (k = 0) áre equal, let us write the value of k.

3. If x and ẞ be the two roots of the equation x² – 22x + 105= 0, let us write the value of (x – B)

4. If the sum of two roots of the equation x²-x= k (2x-1) is zero, let us write the value of k.

5. If one of the roots of the two equations x² + bx+12= 0 and x² + bx + q = 0 is 2, let us write the value of q.

Chapter 1 Quadratic Equations In One Variable Exercise 1.4

Wbbse Class 10 Quadratic Equation Formula Question 1.

Let us write by understanding whether Sreedhar Acharya’s formula is applicable or not applicable to solve the equation 4×2 + (2x-1) (2x + 1) = 4x (2x-1).

Solution: 4x² + (2x-1) (2x + 1) = 4x (2x-1)

=> 4x² + 4x² – 1 = 8x² – 4x

=> 8x²-8x²+4x-1=0

=> 4x-1=0

It is a linear equation of one variable. So, it is not possible to apply Sreedhar Acharya’s formula.

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Question 2.

Let us write by understanding what type of equation can be solved with the help of Sreedhar Acharyya’s formula.

Solution: Quadratic equation in one variable.

Wbbse Class 10 Quadratic Equation Formula   Question 3.

By applying Sreedhar Acharyya’s formula in equation 5×2 + 2x-7= 0, it is found that x = k±12/10; let us write by calculating what will be the value of k.

If the following quadratic equations have real roots, then let us determine them with the help of Sreedhar Acharyya’s formula.

1. 3x²+11x-4=0

2. (x-2) (x+4) +9=0

3. (4x-3)²-2(x+3) = 0

4. 3x² + 2x-1=0

5. 3x² + 2x+1=0

6. 10x²-x-3=0

7. 10x²-x+3=0

8. 25x²-30x+7=0

9. (4x-2)²+6x= 25

Wbbse Class 10 Maths Chapter 1 Exercise 1.4 Solutions

Question 3. Let us express the following mathematical problems in the form of quadratic equations with one variable and solve them by applying Sreedhar Acharyya’s formula or with the help of factorization.

1. Sathi has drawn a right-angled triangle whose length of the hypotenuse is 6 cm more than twice of the shortest side. If the length of the third side is 2 cm less than the length of the hypotenuse, then by calculating, let us write the lengths of the three sides of the right-angled triangle drawn by Sathi.

2. If a two-digit positive number is multiplied by its unit digit, then the product is 189 and if the ten’s digit is twice of the unit digit, then let us calculate the unit digit.

3. The speed of Salma is 1m/second more than the speed of Anik. In a 180 m run, Salma reaches 2 seconds before Anik. Let us write by calculating the speed of Anik in m/sec.

4. There is a square park in our locality. The area of a rectangular park is 78 sqm less than the twice of area of that square-shaped park whose length is 5 m more than the length of the side of that park and the breadth is 3 m less than the length of the side of that park. Let us write by calculating the length of the side of the square- shaped park.

⇒ (x-9)(x+7)=0

∴ Eitherx-9=0       ∴x=9.

Or, x+7=0            ∴x=-7 (Not possible)

∴ Length of each side of the square field=9 m. Ans.

5. In our village, Proloy babu bought 350 chili plants for planting on his rectangular land. When he put the plants in rows, he noticed that if he would put 24 rows more than the number of plants in each row, 10 plants would remain in excess. Let us write by calculating the number of plants he put in each row.

Wbbse Class 10 Maths Chapter 1 Exercise 1.4 Solutions

6. Joseph and Kuntal work in a factory. Joseph takes 5 minutes less time than Kuntal to make a product. Joseph makes 6 products more than Kuntal while working for 6 hours. Let us write by calculating, the number of products Kuntal makes during that time.

Wbbse Class 10 Maths Chapter 1 Exercise 1.4 Solutions

7. The speed of a boat in still water is 8 km/hr. If the boat can go 15 km downstream and 22 km upstream in 5 hours, then let us write by calculating, the speed of the stream.

Wbbse Class 10 Maths Chapter 1 Exercise 1.4 Solutions

8. A superfast train runs having a speed of 15 km/hr more than that of an express train. Leaving the same station the superfast train reached a station of 180 km distance 1 hour before that the express train. Let us determine the speed of the superfast train in km/hr.

9. Rehana went to the market and saw that the price of dal of 1 kg is Rs. 20 and the price of rice of 1 kg Is Rs. 40 less than that of fish of 1 kg. The quantity of fish and that of dal in Rs. 240 is equal to the quantity of rice in Rs. 280. Let us calculate the cost price of 1 kg of fish.

Application 1. I determine the nature of the two roots of the following quadratic equations: 2x²+x-2

Application 2. By understanding, let us write the value of k for which the two roots of the quadratic equation 2x² – 10x + k = 0 are real and equal. 

Application 3. I determine the sum and product of two roots of the quadratic equations: 4x²-9x=100

Solution: 4x²-9x-100 = 0

 

Application 4. If one of the roots of the quadratic equation 3x² – 10x + 3 = 0 is then let me 3′. determine the other root of it. 

Application 5. If a and ẞ are two roots of the quadratic equation ax² + bx + c = 0 [a + 0], then let Us express the value of (1/α² + 1/ ẞ²) in terms of a, b, and c.

Application 6. By determining, we are observing that two roots of the quadratic equation x²-7x+12= 0 are 3 and 4.

 

WBBSE Maths Class 10 Chapter 1 Quadratic Equations In One Variable Exercise 1.3

Question 1: The difference between two positive whole numbers is 3 and the sum of their squares is 117 by calculating, let us write the two numbers.

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Wbbse Class 10 Solutions Quadratic Equation With One Variable Question 2:

The base of a triangle is 18m. more than two times its height, if the area of the triangle is 360 sq.m, then let us determine its height of it.

WBBSE Maths Class 10

Wbbse Class 10 Solutions Quadratic Equation With One Variable Question 3:

If 5 times of a positive whole number is less by 3 than twice of its square, then let us determine the number.

Wbbse Class 10 Solutions Quadratic Equation With One Variable Question 4:

The distance between two places is 200 km; the time taken by a motor car from one place to another is less by 2 hrs. than the time taken by a Jeep car. If the speed of the motor car is 5 km/hr. more than the speed of the Jeep car, then by calculating let us write the speed of the motor car.

Wbbse Class 10 Maths Chapter 1 Exercise 1.3 Question 5:

The area of Amita’s rectangular land is 2000 sq.m and the perimeter of it is 180 m. By calculating, let us write the length and breadth of the Amita’s land.

 

Wbbse Class 10 Maths Chapter 1 Exercise 1.3 Question 6:

The tens digit of a two-digit number is less by 3 than the unit digit. If the product of the two digits is subtracted from the number, the result is 15, let us write the unit digit of the number by calculation.

Wbbse Class 10 Maths Chapter 1 Exercise 1.3 Question 7:

There are two pipes in the water reservoir of our school. Two pipes together take 11 1/9 minutes to fill the reservoir. If the two pipes are opened separately, then one pipe would take 5 minutes more time than the other pipe. Let us write by calculating the time taken to fill the reservoir separately by each of the pipes.

Question 8: Porna and Pijush together complete a work in 4 days. If they work separately, then the time taken by Porna would be 6 days more than the time taken by Pijush. Let us write by calculating the time taken by Porna alone to complete the work.

Question 9: If the price of 1 dozen pens is reduced by Rs. 6, then 3 more pens will be purchased in Rs. 30. Before the reduction of price, let us calculate the price of 1 dozen pen.

 

WBBSE Class 10 Quadratic Equation In One Variable Exercise 1.3 Multiple Choice Questions

Question 1. The number of roots in a quadratic equation is

1. One

2. Two

3. Three

4. None of them

Answer: 2. Two

Question 2. If ax² + bx + c is a quadratic equation then

1. b + 0

2. c + 0

3. a + 0

4. None of these

Answer: 3. a + 0

Question 3. The highest power of the variable of a quadratic equation is

1. 1

2. 2

3. 3

4. None of these

Answer: 2. 2

Question 4. The equation 4 (5x²-7x+2) = 5 (4x²-6x + 3) is

1. Linear

2. Quadratic

3. 3rd degree

4. None of these

Answer: 1. Linear

Question 5. The root/roots of equation, x²/x = 6 are:

1. 0

2. 6

3. 0 & 6

4. -6

Answer: 3. 0 & 6

Chapter 1 Quadratic Equations In One Variable Exercise 1.3 True or False

Question 1. (x-3)²= x²-6x + 9 it is a quadratic equation

Answer: False

Question 2. Equation x² = 25 has only one root (s)

Answer: False

Chapter 1 Quadratic Equations In One Variable Exercise 1.3 Let Us Fill In The Blank :

1. If a = 0 & b + 0, in the equation ax² + bx + c = 0, then the equation is a Linear equation.

2. If the two roots of a quadratic equation are equal and equal to 1, then the equation is    x² – 2x + 1 = 0.

3. The two roots of the x²-6x are   0   &   6

WBBSE Class 10 Quadratic Equation In One Variable

Chapter 1 Quadratic Equations In One Variable Exercise 1.3 Short Answers

Question 1. Let us find the value of an if one root of equation x² + ax + 3 = 0 is 1.

Solution: If x² + ax + 3 = 0 has one root = 1,

the other root is 12+ a.1 +3 = 0

⇒ a+ 4 = 0

⇒  a = -4

WBBSE Class 10 Quadratic Equation In One Variable  Question 2.

Let us find the value of the other root if one root of the equation x² – (2 + b) x + 6 = 0 is 2.

Solution: If one root of x² – (2 + b) x + 6 = 0 is 2, the other root

⇒ (2)²– (2+b) 2+6= 0

⇒ 4-4-2b+6=0

⇒ 2b = 6

⇒ b = 3

The other root = 3.

WBBSE Class 10 Quadratic Equation In One Variable  Question 3.

Let us write the value of the other root if one root of equation 2x² + kx + 4 = 0 is 2.

WBBSE Class 10 Quadratic Equation In One Variable  Question 4.

Let us write the equation if the difference between a proper fraction and its reciprocal is 9/20

WBBSE Class 10 Quadratic Equation In One Variable  Question 5.

Let us write the values of a and b if the two roots of the equation ax² + bx +35 = 0 are -5 and -7.

WBBSE Class 10 Chapter 1 Quadratic Equations In One Variable Application

Application 1. By another method, I determine the two roots of the quadratic equation 5x² + 23x+12= 0, multiplying the left-hand side and right-hand side of it by 5 with the help of the method of completing the square.

 

Application 2: Let us check whether the two obtained values of x, that is, x = 10 and x = -7 satisfy the quadratic equation (1) or not.

Application 3: The product of two consecutive positive odd numbers is 143. Let me construct the equation and write the two odd numbers by applying Sreedhar Acharyya’s formula. 

Application 4. If the following quadratic equations have real roots, then let us determine their roots by applying Sreedhar Acharyya’s formula.

1. 1- x = 2x²

2. 2x² – 9x+7=0

3. x² – (√2+1) x + √2 =0

Maths WBBSE Class 10 Solutions Chapter 1 Quadratic Equations In One Variable Exercise 1.1

Question 1: write the quadratic polynomials from the following polynomials by understating them.

1. x² – 7x+2
   Solution:  It is a quadratic equation.
2. 7x³– x(x+2)
   = 7x³– x2 – 2x
   Solution: It is not a quadratic equation.
3. 2x(x+5)+1
   =2x²+10x + 1
   Solution: It is a quadratic equation.
4. 2x – 1
   Solution: It is not a quadratic equation.

WBBSE Euadratic Equation Class 10 Solutions

Question 2: Which of the following equations can be written in the form of ax²+ bx + c = 0, where a, b, c are real numbers and a 0?

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1. x +3/x = x², (x ≠ 0)

 

2. x²-6√x+2=0

Maths WBBSE Class 10 Solutions

Solution: This is not a quadratic equation.

3. (x-2)²= x²-4x+4

Solution: This is not a quadratic equation; it is an identity.

Maths 10 Class Exercise 1.1 Question 3:

Let us determine the power of the variable for which the equation x – x3- 2 = 0 will become a quadratic equation.

Solution: x⁶-x³-2=0

=>(x³)²-1.x³-2=0

This is a quadratic equation with respect to x3.

WBBSE Maths 10 Class Exercise 1.1  Question 4:

1. Let us determine the value of ‘a’ for which the equation (a-2)x²+ 3x + 5 = 0 will not be a quadratic equation.

Solution: (a-2)x²+3x+5=0.

If the value of a = 2, it will be 0x2 + 3x + 5 = 0

=> 3x + 5 = 0

So, if the value of a = 2, it will not be a quadratic equation. X

Maths WBBSE Class 10 Solutions

2. If x/4-x=1/3x(x =not 0, x =not 4) be expressed in the form of ax² + bx + c = (a =not 0), then4-x 3x let us determine the co-efficient of x.

 

 

 

 

 

WBBSE Euadratic Equation Class 10 Solutions

1. Let us express 3x² + 7x + 23 = (x + 4) (x+3)+ 2 in the form of the quadratic equation ax² + bx + c = 0 (a ≠ 0)

 

2. Let us express the equation (x+2)³= x(x²-1) in the form of ax² + bx + c = 0 (a = not0) and write the coefficients of x², x, and x°.

WBBSE Euadratic Equation Class 10 Solutions

Wbbse Maths 10 Class Exercise 1.1 Question 5:

Let us construct quadratic equations in one variable from the following statements.

1. Divide 42 into two parts such that one part is equal to the square of the other part.

 

WBBSE Euadratic Equation Class 10 Solutions

2. The product of two consecutive positive odd numbers is 143.

3. The sum of the squares of two consecutive numbers is 313.

 

WBBSE Maths 10 Class Exercise 1.1 Question 6:

Let us construct the quadratic equations in one variable from the following statements.

1. The length of the diagonal of a rectangular area is 15 m and the length exceeds its breadth by 3 m

Solution: Let the breath and length of the rectangle be x m. and (x+3) m respectively.

WBBSE Class 10 Maths Chapter 1 Exercise 1.1

2. One person bought some kg sugar in Rs. 80. If he would get 4 kg more sugar with that money, then the price of 1 kg sugar would be less by Rs. 1.

Solution: Let the price of x kg. sugar is Rs.80

 

3. The distance between two stations is 300 km. A train went to second station from first station with uniform velocity. If the velocity of the train is 5 km/hour more, then the time taken by the train to reach the second station would be lesser by 2 hours.

WBBSE Class 10 Maths Chapter 1 Exercise 1.1

4. A clock seller sold a clock by purchasing it at Rs. 336. The amount of his profit percentage is as much as the amount with which he bought the clock.

 

 

5. If the velocity of the stream is 2 km/hr, then the time taken by Ratanmajhi to cover 21 km downstream and upstream is 10 hours.

 

6. The time taken to clean out the garden of Majid is 3 hours more than Mahim. Both of them together can complete the work in 2 hours.

7. The unit digit of a two-digit number exceeds its ten’s digit by 6 and the product of two digits is less by 12 from the number.

WBBSE Maths Class 10 Question 8. There is a road of equal width around the outside of a rectangular playground having a length of 45 m and breadth of 40 m and the area of the road is 450 sq.m.

Application 1. Let me write by calculating, for what value of k, 1 will be a root of the quadratic equation x² + kx+3=0.

Application 2. I solve and write the two roots of the quadratic equation \(\frac{a}{a x-1}+\frac{b}{b x-1}=a+b,\left[x \neq \frac{1}{a}, \frac{1}{b}\right]\)

Wbbse Class 10 Maths Chapter 1

Application 3. I solve the quadratic equation  x+3/x-3 + x-3/x+3 = 2 1/2 (x ≠ -3, 3 ) .

Chapter 2 Simple Interest Exercise 2.2

Wbbse Class 10 Math Exercise 2.2 Question 1.

Two friends together took a loan amount of Rs. 15,000 to run a business from a bank at the rate of simple interest of per annum. Let us write, by calculating, the interest they have to pay after 4 yrs.

 

Wbbse Class 10 Math Exercise 2.2 Question 2.

Let us determine the interest of Rs. 2000 at the rate of simple interest per annum from 1^st January to 26^th May 2005.

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Wbbse Class 10 Math Exercise 2.2 Question 3.

Let us determine the amount (principal along with Interest) of Rs. 960 at the rate of simple interest of annum for 1 yr 3 months.

Question 4. Utpalbabu took a loan of Rs. 3200 for 2 yrs. from a Cooperative bank for the cultivation of his land at the rate of simple interest per annum. Let us write by calculating the money she has deposited in the bank.

Wbbse Class 10 Math Exercise 2.2 Question 5.

Sovadebi deposited some amount of money in a bank at the rate of simple interest of 5.25% per annum. After 2 yrs. she has got Rs. 840 as interest. Let us write by calculating the money she has deposited in the bank.

Question 6. Goutam took a loan of some money from a Cooperative bank for opening a poultry farm at the rate of simple interest per annum. Every month he has to repay Rs. 378 as interest. Let us determine the loan amount taken by him.

Question 7. Let us write by calculating the number of years for which an amount becomes twice its principal having the rate of simple interest of per annum.

Wbbse Class 10 Math Exercise 2.2 Question 8.

Mannan Miyan observed, after 6 years of taking a loan of some money, that the interest to be paid had become Th of its principal. Let us determine the rate of simple interest in percent per annum.

Question 9. An agricultural Cooperative society gives agricultural loans to its members at the rate of simple interest per annum. But interest is to be given at the rate of simple interest per annum for a loan taken from the bank. If a farmer being a member of the Cooperative society takes a loan of Rs.  from it instead of taking a loan from the bank, then let us write, by calculating, the money to be saved as interest per annum.

Question 10. If the interest of Rs. 292 in 1 day is 1 paise, then let us write by calculating the rate of simple interest in percent per annum.

Wbbse Class 10 Math Exercise 2.2 Question 11.

Let us write by calculating the number of yrs. for which the interest of Rs. 600 at the rate of simple interest in percent per annum.

 

Wbbse Class 10th Maths Chapter 2 Exercise 2.2 Question 12.

If I get Rs. 1200 return as the amount (principal along with interest) by depositing Rs. 800 in the bank at the rate of simple interest of per annum, then let us write by calculating the time for which the money was deposited in the bank.

Wbbse Class 10th Maths Chapter 2 Exercise 2.2 Question 13.

At the same rate of simple interest in percent per annum, if a principal becomes the amount of Ps. 7100 in 7 yrs and of Ps. 6200 in 4 yrs, let us determine the principal and rate of simple interest in percent per annum.

Wbbse Class 10th Maths Chapter 2 Exercise 2.2 Question 14.

Amal Roy deposits Ra. 2000 in the bank and Pashupati Ghosh deposits Ra. 2000 in the post office at the same time. After 3 yrs. they get the return amounts Rs. 2360 and Let us write by calculating the ratio of the rate of simple interest in percent per annum in the bank and that in the post office.

Wbbse Class 10th Maths Chapter 2 Exercise 2.2 Question 15.

A weaver cooperative society takes a loan of Ris, 15,000 at the time of buying a power loom. After 5 yrs society has to repay As. 22125 for recovering the loan. Let us determine the rate of simple interest in percent per annum.

Wbbse Class 10th Maths Chapter 2 Exercise 2.2 Question 16.

Aslamehacha got Ra. 10,000 when he retired from his service. Ho deported some of that money to the post office and got Ra. 5400 in total per year as interest. If the rates of simple interest per annum in the bank and in the post office are and 64 respectively, then let us write by calculating the money he had deposited in the bank and post office.

Wbbse Class 10 Chapter 2 Maths Exercise 2.2 Question 17.

Relhadidi deposited Rs. 10,000 of her savings in two separate banks at the same time. The rate of simple interest per annum is of in one bank and that of  In another bank; after 2 yrs, If she gets Rs. 1260 in total as interest, then let us write by calculating. the money she deposited separately in each of the two banks.

Wbbse Class 10 Chapter 2 Maths Exercise 2.2 Question 18.

A bank gives simple interest per annum. In that bank, Dipubabu deposits Rs. 15,000 at the beginning of the year, but withdraws Rs. 3000 after 3 months, and then again, after 3 months he deposits Rs. 8000 . Let us determine the amount (principal along with interest) Dipubabu will get at the end of the year.

Wbbse Class 10 Chapter 2 Maths Exercise 2.2 Question 19.

Rahamatchacha takes a loan amount of Rs.  from a bank for constructing a building at the rate of simple interest of per annum. After of taking the loan, he rents the house at the rate of Rs. 5200 per month. Let us determine the number of yrs. he would take to repay his loan along with interest from the income of the house rent.

Wbbse Class 10 Chapter 2 Maths Exercise 2.2 Question 20.

Rothinbabu deposits the money for each of his two daughters in such a way that when the age of each of his daughters will be 18 yrs., each one will get Rs, . The rate of simple interest per annum in the bank is and the present ages of his daughters are 13 yrs. and 8 yrs. respectively. Let us determine the money he had deposited separately in the bank for each of his daughters.

Chapter 2 Simple Interest Exercise 2.2 Multiple Choice Questions

Question 1. If the interest of Rs. p at the rate of simple interest of r% per annum in t years is I, then

1. I = prt
2. prt = 100 x 1
3. prt I = 100 x I
4. None of these

Question 2. A principal becomes twice of its amount in 20 yrs at a certain rate of simple interest. At the same rate of simple interest, that principal becomes thrice of its amount in

1. 30 yrs.
2. 35 yrs.
3. 40 yrs.
4. 45 yrs.

Wbbse Class 10 Maths 2.2 Solutions

Question 3. If a principal becomes twice its amount in 10 yrs., the rate of simple interest per annum is

1. 5%

2. 15%

3. 10%

4. 20%

 

Question 4. If the total Interest becomes Rs. x for any principal having the rate of simple Interest of x% per annum for x years then the principal will be

1. Rs. x
2. Rs 100/ X
3. Rs. 100x
4. Rs.100/x2

Wbbse Class 10 Maths 2.2 Solutions

Question 5. The total interest of a principal in n yrs. at the rate of simple interest of r% per annum is  pnr/25 the principal will be

1. Rs. 2p
2. Rs. 4p
3. Rs. P/2
4. Rs. p/4

 

Chapter 2 Simple Interest Exercise 2.2 True or False

Question 1. A man who takes a loan is called a debtor. 

Answer: True

Question 2. If the principal and the rate of simple interest in percent per annum be constants, then the total interest and the time are in inverse relation.

Answer: False

 

Chapter 2 Simple Interest Exercise 2.2 Fill In The Blanks

Question 1. A man who gives a loan is called

Answer: The man who gives a loan is called a money lender.

Question 2. The amount of Rs. 2p in t yrs. at the rate of simple interest per annum is Rs. (2p+————-)

Wbbse Class 10 Maths 2.2 Solutions

Question 3. The ratio of the principal and the amount (principal along with interest) in 1 yr. is 8: 9; the rate of simple interest per annum is —————

 

 

Chapter 2 Simple Interest Exercise 2.2 Short Answers

Question 1. Let us write the number of yrs. for which a principal becomes twice its amount having the rate of simple interest of 6 1/4% /9  per annum.

‍Wbbse Class 10 Maths 2.2 Solutions

 

Question 2. The rate of simple interest per annum reduces by 4% to 3 3/4 %, and for this, Amal bab’s annual income decreases by  s. 60, Let us determine Amal babu’s principal

 

Question 3. What is the rate of simple interest per annum, when the interest of the same money for 4 yrs. will be 8/25 part of its principal – let us determine it.

Wbbse Class 10 Maths 2.2 Solutions

 

Question 4. What is the rate of simple interest per annum, when the interest of some money is in 10 yrs. will be 2/5  part of its amount (principal along with interea1) – Let us determine it.

 

Wbbse Class 10 Maths 2.2 Solutions

Question 5. Let us determine the money for which monthly interest is Re. 1 having the rate of simple interest of 5% per annum.