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### Question 1

The simple interest on a certain principal sum @4% for a period of 3 years is Rs. 204. What is the sum?

### Question 2

There are two simple interest investment options I and II. The rate of interest in option I is ${4/11}$ times the rate for option II. The time period in option I is 11 times that for the option II. What is the ratio of interest of option I to option II, if the same amount is invested in either?

### Question 3

An amount of Rs. 1000 is split into two parts. The first part is invested @5% for 4 years, and the second @11% for 16 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

$8{4/5}$.

**B**

$8{17/20}$.

**C**

$8{3/4}$.

**D**

$8{9/10}$.

**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 (11 × 16) : (5 × 4) = 176 : 20, or same as $8{4/5}$. *Please note that the answer is independent of the value of the total amount.*

### Question 4

An investor puts an amount of Rs. 2300 in a simple interest scheme. If the rate of interest is 4% per month, how long does he have to wait for getting an amount of Rs. 2944?

### Question 5

A certain amount is split into two parts. The first part is invested at 8% p.a. and the second at 4% p.a. What is the total amount if the total simple interest at the end of 3 years is Rs. 312, and if the amount invested at 8% is Rs. 1800?

**A**

Rs. 800.

**B**

Rs. 900.

**C**

Rs. 700.

**D**

Rs. 1000.

**Soln.**

**Ans: a**

Let the amount x be invested at r1% and remaining (P - x) at r2%, and let the sum of interests be I. Then, I = ${x × r_1 × 3}/100$ + ${(P - x) × r_2 × 3}/100$, which simplifies to 100I = 3 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 8, r_{2} = 4, x = 1800, I = 312, we get P = Rs. 800.

This Blog Post/Article "Simple Interest Quiz Set 001" 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