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### Question 1

What is the difference between the simple interest and compound interest at the rate of 12% for 1 year? The compounding is half-yearly, and the principal is Rs. 60000.

**A**

Rs. 216.

**B**

Rs. 316.

**C**

Rs. 116.

**D**

Rs. 416.

**Soln.**

**Ans: a**

The simple interest SI = (P × r)/100 = (60000 × 12)/100 = Rs. 7200. Compound interest will have half interest rate and n = 2. By shortcut formula, we have CI = ${P × R × (R + 200)}/10000$ = ${60000 × 6 × (6 + 200)}/10000$ = Rs. 7416. The difference = Rs. 216.

### Question 2

The amount of Rs. 2000000 earns an interest of Rs. 590058 @9% compounded annually. What is the investment period in years?

### Question 3

A bank offers an interest rate of 6% compounded annually. Initially I deposit Rs. 90000 in the bank under this scheme. After 1 year I again deposit Rs 90000. What is the total amount that I will get after 2 years?

**A**

Rs. 196524.

**B**

Rs. 196624.

**C**

Rs. 196424.

**D**

Rs. 196724.

**Soln.**

**Ans: a**

Let P, A, r and n have their usual meanings. For the first deposit n = 2, and for the second deposit n = 1. So total amount is P × $((1 + r/100)^2 + (1 + r/100))$ = $P/10000$ × $((100 + r)^2 + 100(100 + r))$ = $P/10000 × (100 + r)$ × $(100 + r + 100)$ which equals ${P × (100 + r) × (200 + r)}/10000.$ Putting r = 6 and P = 90000 and cancelling 10000, we get 9 × 106 × 206 = Rs. 196524.

### Question 4

An amount P is invested for 2 years @5% p.a. The simple interest is Rs. 7000. What would be the compound interest on the same amount, at the same rate and for the same time, compounded annually?

**A**

Rs. 7175.

**B**

Rs. 7275.

**C**

Rs. 7075.

**D**

Rs. 7375.

**Soln.**

**Ans: a**

Let SI, P, r, t have usual meanings. Then, for 2 years, SI = (P × r × 2)/100. So P = $(50 × SI)/r$. The compound interest for 2 years by shortcut formula is ${P × r × (200 + r)}/10000$. Putting P here, it becomes, ${{(50 × SI)/r} × r × (200 + r)}/10000$ = ${SI × (r + 200)}/200$ = ${7000 × (5 + 200)}/200$ = Rs. 7175.

### Question 5

The compound amount after 3 years on a principal of Rs. x is same as that on a principal of Rs. (621 - x) after 4 years, then what is x if the rate of interest is 7% p.a. compounded yearly?

### More Chapters | See All...

Course of Action | Areas | Basic Simplification | Surds and Indices | Coding Decoding | Time and Work | Inequalities | HCF and LCM | Paper Folding | Percentages | More...

This Blog Post/Article "Compound Interest Quiz Set 012" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-21. Published on: 2016-04-30