Compound Interest | Learn Mathematics Online

Compound Interest

Study Material (PDF)

Study Material (PDF)

Click on each question to see answer & solution.

Question No: #1

Annual rate of interest per year in case of compound interest is …….

Ans: equal (সমান)

Question No: #2

If the compound interest in 1 year of a certain principal at a certain rate of interest per annum be ₹`x` and the simple interest for 1 year is ₹`y`, then -
(a) `x \gt y`, (b) `x \lt y`, (c) `x = y`, (d) `x \ge y`

Ans: (c) `x = y`

Question No: #3

A person deposited ₨. 100 in a bank and gets the amount ₨. 121 after two years. The rate of compound interest is _____%

Ans: 10

Question No: #4

The ratio of the compound interest of the second year to the simple interest of 2 years on a capital at the rate of `12 1/2%` per annum shall be -
(a) `17:16`, (b) `10:17`, (c) `9:16`, (d) `25:16`

Ans: (c) `9:16`

Question No: #5

At a certain compound interest, if a certain sum of money doubles in `n` years, then the amount will be four-fold in ........ years.

Ans: `2n`

Question No: #6

If `p` be the principal and the rate of compound interest for 1st, 2nd, 3rd year are `r_1%, r_2%, 2r_3%` respectively, then the amount at the end of 3 years will be ...... .

Ans: `p(1+r_1/100)(1+r_2/100)(1+r_3/50)`

Question No: #7

At 5% per annum rate of compound interest, for what amount the compound interest for 2 years is ₹615 (the interest is compounded annually)?

Ans: Rs. 6000

Question No: #8

What sum of money will amount to Rs 3,630/- in 2 years at 10% per annum compound interest?

Ans: Rs. 3000/-

Question No: #9

If the difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% interest rate per annum is Rs. 80, then find the sum.

Ans: Rs. 50,000/-

Question No: #10

(i) If simple interest and compound interest of a certain sum of money for 2 years are Rs. 8400 and Rs. 8652 respectively, then find the sum of money and the rate of interest.
(ii) If simple interest and compound interest of a certain sum of money for 2 years are Rs. 840 and Rs. 869.40 respectively, then find the sum of money and the rate of interest.

Ans: (i) Rs. 70,000/-, 6%, (ii) Rs. 6000;-, 7%

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