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### Question 1

A sum of Rs. 1540 is divided into two parts such that simple interest on these parts at 10% p.a. after 6 and 5 years, respectively, is same. What is the amount of the smaller part?

**A**

Rs. 700.

**B**

Rs. 800.

**C**

Rs. 600.

**D**

Rs. 900.

**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 × $5/{6 + 5}$, and 1540 × $6/{6 + 5}$, which are 700 and 840. The smaller is Rs. 700.

### Question 2

An amount of Rs. 1000 is split into two parts. The first part is invested @2% for 3 years, and the second @10% for 6 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

10.

**B**

$10{1/6}$.

**C**

$9{5/6}$.

**D**

$10{1/3}$.

**Soln.**

**Ans: a**

Let the amounts be x and y. We have x × r_{1} × t_{1} = y × r_{2} × t_{2}. We can see that x : y is same as r_{2}t_{2} : r_{1}t_{1}. The ratio is (10 × 6) : (2 × 3) = 60 : 6, or same as 10. *Please note that the answer is independent of the value of the total amount.*

### Question 3

An investor puts an amount of Rs. 2500 in a simple interest scheme. If the rate of interest is 3%, how long does he have to wait for getting an amount of Rs. 3100?

### Question 4

The simple interest on a certain principal sum @4% for a period of 4 years is Rs. 768. What is the sum?

### Question 5

The difference between simple interests on an amount @11% for 6 years and at 4% for 13 years is Rs. 126. What is the amount?

This Blog Post/Article "Simple Interest Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.