Questions & Answers: "Compound Interest"

Complete guide to "Compound Interest" for Math students. Below you will find important questions and model answers to help you prepare.

8 Questions

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Question 1

1 Mark

What will be the difference in rupees in the simple interest and the compound interest earned on Rs. 5000 in 2 years at the rate 5 p.c.p.a.?

Options

Option A is correct

12.5

Option B

25

Option C

37.5

Option D

50

Question 2

1 Mark

What is the compound interest (in rupees) for Rs. 10000 for two years six months, at the rate of 10 p.c.p.a.?

Options

Option A

2650

Option B

3310

Option C

2500

Option D is correct

2705

Question 3

1 Mark

Saurabh invested Rs. 5000 for 3 years at rate 10 p.c.p.a. with simple interest. Yashashri invested same amount for the same period at the same rate of interest with compound interest. Compare the interests earned by Saurabh and Yashashri. (Select two correct option)

Options

Option A

Interest received by Yashashri was less by Rs. 1655 than Saurabh received.

Option B is correct

Interest received by Yashashri was more by Rs. 155 than Saurabh received.

Option C

Interest received by Saurabh was more by Rs. 155 than Yashashri received.

Option D is correct

Interest received by Saurabh was less by Rs. 155 than Yashashri received.

Question 4

1 Mark

What will be the compound interest on Rs. 30,000 at the rate of 12% p.a. in 1.5 years?

Options

Option A

Rs. 5400

Option B

Rs. 6516

Option C

Rs. 5696

Option D is correct

Rs. 5616

Question 5

1 Mark

Find the compound interest for Rs. 48,000 for 1.5 years at the rate of 8 p.c.p.a.

Options

Option A

Rs. 4475

Option B

Rs. 4265

Option C

Rs. 4274

Option D is correct

Rs. 5914

Question 6

1 Mark

In how many years Rs. 15000 will be doubled at the rate of 12.5 p.c.p.a.?

Options

Option A

6 years

Option B

7 years

Option C is correct

8 years

Option D

12 years

Question 7

1 Mark

Find the difference between the compound interest and simple interest for 2 years on Rs. 10,000 at the rate 12 p.c.p.a.

Options

Option A

124

Option B

120

Option C is correct

144

Option D

240

Explanation

The difference between compound interest (CI) and simple interest (SI) for 2 years is given by the formula P * (R/100)^2. Given P = Rs. 10,000, R = 12 p.c.p.a. So, Difference = 10000 * (12/100)^2 = 10000 * (0.12)^2 = 10000 * 0.0144 = Rs. 144.

Question 8

1 Mark

Find the compound interest on Rs. 10,000 at the rate 10 p.c.p.a. for 3123\frac{1}{2} years.

Options

Option A is correct

Rs. 3975.50

Option B

Rs. 3875.50

Option C

Rs. 3795.50

Option D

Rs. 3857.50