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### Question 1

Rs. 1224 is divided into parts such that the compound amount on first part after 6 years is same as that for the other part after 7 years. What is the first part if the rate of interest in both the cases is 4%?

**A**

Rs. 624.

**B**

Rs. 724.

**C**

Rs. 524.

**D**

Rs. 824.

**Soln.**

**Ans: a**

Let the parts P and (1224 - P). We have P × $(1 + 4/100)^6$ = (1224 - P) × $(1 + 4/100)^7$. Cancelling, we get P = (1224 - P) × (1 + 4/100). Simplifying, P = ${1224 × (100 + 4)}/(200 + 4)$, which gives P = Rs. 624.

### Question 2

When a certain amount is invested in a simple interest scheme, it increases by 30% in 3 years. What will be compound interest after 3 years on an amount of Rs. 8000, at the same interest rate, and annual compounding?

**A**

Rs. 2648.

**B**

Rs. 2748.

**C**

Rs. 2548.

**D**

Rs. 2848.

**Soln.**

**Ans: a**

Simple interest on Rs. 100 in 3 years is Rs. 30, so rate is 30/3 = 10%. Compound interest for 3 years would be 8000 × $(1 + 10/100)^3$ = 8000 × $(11/10)^3$ = $(8000 × 11 × 11 × 11)/1000$ = Rs. 10648. Interest = A - P = 10648 - 8000 = Rs. 2648.

### Question 3

What is the amount receivable on Rs. 90000 after 6 months, invested at a rate of 12% compounded quarterly?

### Question 4

What is compound interest on Rs. 70000 after 2 years, invested at a rate of 3% compounded annually?

### Question 5

What is the difference between the simple interest and compound interest at the rate of 4% for 1 year? The compounding is half-yearly, and the principal is Rs. 20000.

**A**

Rs. 8.

**B**

Rs. 108.

**C**

Rs. 58.

**D**

Rs. 208.

**Soln.**

**Ans: a**

The simple interest SI = (P × r)/100 = (20000 × 4)/100 = Rs. 800. Compound interest will have half interest rate and n = 2. By shortcut formula, we have CI = ${P × R × (R + 200)}/10000$ = ${20000 × 2 × (2 + 200)}/10000$ = Rs. 808. The difference = Rs. 8.

This Blog Post/Article "Compound Interest Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.