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### Question 1

The difference between simple interests on an amount @7% for 17 years and at 2% for 6 years is Rs. 535. What is the amount?

### Question 2

A sum of Rs. 1540 is divided into two parts such that simple interest on these parts at 10% p.a. after 2 and 9 years, respectively, is same. What is the amount of the smaller part?

**A**

Rs. 280.

**B**

Rs. 380.

**C**

Rs. 180.

**D**

Rs. 480.

**Soln.**

**Ans: a**

We should use the shortcut technique here. If r_{1}, t_{1}, r_{2}, t_{2} be the rates and times for two parts with same interest amount, then the two parts must be in the ratio $1/{r_1 t_1} : 1/{r_2 t_2}$. In our case r_{1} = r_{2} = 10, which cancels, so the ratio is $1/t_1 : 1/t_2$. Thus, the two parts are in the ratio $t_2 : t_1$. The parts are: 1540 × $9/{2 + 9}$, and 1540 × $2/{2 + 9}$, which are 1260 and 280. The smaller is Rs. 280.

### Question 3

Mr. X borrowed Rs. 500 from Mr. Y on simple interest @2% for 15 years. He then adds an amount x to it and lends it to Mr. Z @8% for the same duration. What is x if he gains Rs. 690?

### Question 4

An investor puts an amount of Rs. 4600 in a simple interest scheme. If the rate of interest is 8%, how long does he have to wait for getting an amount of Rs. 5336?

### Question 5

What is the interest on Rs. 12500 @2% for 73 days starting from Jan 1, 3201?

This Blog Post/Article "Simple Interest Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-02-07. Published on: 2016-05-01