46.

Rs. 10000 is borrowed at compound interest at the rate of 4 % per annum. What will be the amount to be paid after 2 years ?

**Answer: Option 'A'**

**Principal : P = 10000 Rs.
Rate of Interest : r = 4 %
Number of years : n = 2
Amount = P x (1 + r/100)**

47.

What would be the compound interest accrued on an amount of 6250 Rs. at the end of 2 years at the rate of 8 % per annum?

**Answer: Option 'B'**

**Given, principal = 6250
No. of years = 2
Rate of interest = 8
**

48.

A person borrows a certain amount from his friend at the rate of 15% per annum compound interest, interest being compounded annually and agrees to return it in 2 equal yearly installments of Rs.529/- each. Find the amount borrow.

**Answer: Option 'C'**

**Rs.860/-**

49.

Find the simple interest on Rs. 1920 at 45 % per annum for 3 months

**Answer: Option 'B'**

**Given
Principal : 1920
Rate of interest : 45
Number of months : 3
**

50.

A person receives a sum of Rs. 2100 as interest for investing some amount at 10% p.a compounding annually for 2 years. Find the amount invested at the beginning

**Answer: Option 'A'**

**Given Compound Interest = Rs.2100
Rate of Interest ( r ) = 10 % p.a
No.of years ( n ) = 2
To find , amount received at the beginning => principal
**

51.

What would be the compound interest accrued on an amount of 12500 Rs. at the end of 3 years at the rate of 10 % per annum?

**Answer: Option 'A'**

**Given principal = 12500
No. of years = 3
Rate of interest = 10
Amount = P x (1+r/100)**

52.

Akarsh left a will of Rs. 16,400 for his two sons whose age are 17 and 18 years.They must get equal amounts when they are 20 years at 5% compound interest. Find the present share of the younger son.

**Answer: Option 'B'**

**Given, total amount (to be shared by two sons at the age of 20 on Compound interest) = Rs. 16,400
Let the Present share (Principal amount) for 17 year old son = "X"
Then the Present share (Principal amount) for 18 year old son = (16,400 - X)
To attain 20 years of age,
=> 17 year old son takes 3 years (N = 3 years on Compound interest)
=> 18 year old son takes 2 years (N = 2 years on Compound interest)
Given, Rate of interest (R) = 5%
Given that, at the age of 20, two sons get equal amount
=> Compound Amount of 17 year old son = Compound Amount of 18 year old son
W.K.T, Formula for Compound Amount = P [1 + (R/100)]^N
=> X (1 + 5/100)^3 = (16,400 - X) (1 + 5/100)^2
=> X (1 + 5/100) = (16,400 - X)
=> (105/100) X = (16,400 - X)
=> [(105/100) X] + X = 16,400
=> 205 X = 16,400 * 100
=> X = 16,40,000 / 205
=> X = 8,000
Therefore, Present share for 17 year old son = Rs. 8,000**

53.

What would be the compound interest accrued on an amount of 10000 Rs. at the end of 2 years at the rate of 4 % per annum?

**Answer: Option 'A'**

**Given principal = 10000
No. of years = 2
Rate of interest = 4
**

54.

What would be the compound interest accrued on an amount of 2500 Rs. at the end of 2 years at the rate of 10 % per annum?

**Answer: Option 'A'**

**Given principal = 2500
No. of years = 2
Rate of interest = 10
**

55.

A sum of money is borrowed and paid back in two annual instalments of Rs.882 each allowing 5% compound interest .The sum borrowed was:

**Answer: Option 'B'**

**Given
The sum borrowed
Present Worth of Rs.882 due 1 year + Present Worth of Rs.882 due 2 year
=> ( 882 ) / 1 + ( 5 / 100)**

56.

The population of a town is 196000. It increases by 7% in the 1st year and decreases by 5% in the 2nd year. What is the population of the town at the end of 2 years?

**Answer: Option 'A'**

**Initial population is 196000
In First Year, population increasesby 7%
**

57.

The Compound interest in a particular amount for the first year at 8% is Rs.50/-.The compound interest for 2 years at the same rate on the amount will be?

**Answer: Option 'B'**

**Rs.104/-**

58.

The difference between compound interest and simple interest compounded annually on a certain sum of money for 2 years at 4% p.a. is Re.1 The sum (in Rs) is:

**Answer: Option 'A'**

**625**

59.

A person receives a sum of Rs. 210 as interest for investing some amount at 10% p.a compounding annually for 2 years. Find the amount invested at the beginning

**Answer: Option 'B'**

**Given**

Compound interest received by the person ( C.I ) = Rs. 210

Rate of interest ( r ) = 10 %

Number of years ( n ) = 2 years

To find, Amount invested at the beginning = principal ( p )

**Compound interest ( C.I ) = Amount - Principal
Amount = p ( 1 + r / 100 ) ^{n}**

=> C.I = p [ ( 1 + r / 100 )

=> 210 = p [ ( 1 + 10 / 100 )

=> 210 = p [ ( 110 / 100 )

=> 210 = p [ ( 11 / 10 )

=> 210 = p [ ( 121 / 100 ) - 1 ]

=> 210 = p [ ( 121 - 100 ) / 100 ]

=> 210 = p [ 21 / 100 ]

=> 210 x ( 100 / 21 ) = p

=>

60.

The difference between the simple interest on a certain sum at the rate of 10% p.a. for 2 years and compound interest which is compounded every 6 months is Rs.124.05 .What is the principal sum?

**Answer: Option 'B'**

**Let the sum be P
Compound Interest on P at 10% for 2 years when interest is compounded half-yearly
=**

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