Compound Interest

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31 Asha lended a sum of ₹8000 for 20% per annum at compound interest then the sum of the amount will be ₹13824 is obtained. After how many years he will get that amount? 

A
2 years
B
3 years
C
4 years
D
5 years

32 Barsha wins ₹ 120000 on Kaun Banega Crorepati. He has to pay 25% as gift tax to the government. He places remaining money in fixed deposit 10% compounded annually. However, he has to pay 20% tax on the interest. How much money does Barsha has after 4 years?

A
₹ 122400
B
₹ 122500
C
₹ 122444
D
₹ 122554

33 A tape recorder is sold for ₹ 3500 cash, or ₹ 1000 cash down payment and the balance in three equal easy installments. If 12($$\frac{1}{2}$$)% is the rate of interest compounded annually, find the amount of installment:

A
₹ 1046.83
B
₹ 1049.83
C
₹ 1048.83
D
₹ 1042.83

34 Suraj and Sanjay have equal amounts. Suraj invested all his amount at 10% p.a compounded annually for 2 years and Sanjay invested 1/4th amount at 10% p.a compound interest (annually) and rest at r% per annum at simple interest for the same 2 years period. The amount received by both at the end of 2 year is same. What is the value of r?

A
16.5%
B
10.5%
C
11.5%
D
12.5%

35 Two people A and B invested ₹ 10000 each at 8% simple interest for 6 years. After that A invested the amount for 2 years at the rate of 10% compounded annually while B invested amount for 2 years at 12% per annum simple interest. Find the difference between the interests earned by two person:

A
₹ 436
B
₹ 430
C
₹ 444
D
₹ 442

36 A certain amount of money is lent out at compound interest at the rate of 20% per annum for two years, compounded annually. It would give ₹ 482 more if the amount is compounded half yearly. Find the principle:

A
18,000
B
19,000
C
20,000
D
22,000

37 Prasanta borrows ₹ 6250 from geetha at 10% CI. At the end of every year she pays ₹ 1000 as part repayment. How much does she still over after 3 such installments?

A
5006.75
B
5000.75
C
5008.75
D
5002.75

38 A person takes a loan of ₹ 200 at 5% p.a compound interest. He returns ₹ 100 at the end of one year. How much amount he would require to pay at the end of 2nd year in order to clear his dues:

A
₹ 116.5
B
₹ 110.5
C
₹ 115.5
D
₹ 112.5

39 The simple interest on a sum is ₹1600 when the rate of interest is taken as 6% per year and the time is 4 years. Find the compound interest on the same amount of money:

A
₹1,650
B
₹1,750
C
₹1,850
D
₹1,950

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

A
4167.5
B
4107.5
C
4127.5
D
4137.5