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### Question 1

An amount of Rs. 2143 is split into two parts. The first part is invested @7% for 2 years, and the second @2% for 7 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

1.

**B**

$1{1/14}$.

**C**

${13/14}$.

**D**

$1{1/7}$.

**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 (2 × 7) : (7 × 2) = 14 : 14, or same as 1. *Please note that the answer is independent of the value of the total amount.*

### Question 2

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

### Question 3

What is the interest on Rs. 9500 @2% for 73 days starting from Jan 1, 2201?

### Question 4

A certain amount is split into two parts. The first part is invested at 11% p.a. and the second at 6% p.a. What is the total amount if the total simple interest at the end of 3 years is Rs. 246, and if the amount invested at 11% is Rs. 800?

**A**

Rs. 700.

**B**

Rs. 800.

**C**

Rs. 600.

**D**

Rs. 900.

**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} = 11, r_{2} = 6, x = 800, I = 246, we get P = Rs. 700.

### Question 5

The interest on a certain principal sum is 1/4 times the sum. What is R, the rate of interest, if the time is R years?

### More Chapters | See All...

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This Blog Post/Article "Simple Interest Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-04-07.