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### Question 1

A sum of Rs. 300 is lent in two parts. One at 7% p.a. and one at 2% p.a. What is the amount lent at 7% if the total simple interest at the end of 5 years is Rs. 155?

**A**

Rs. 500.

**B**

Rs. 600.

**C**

Rs. 400.

**D**

Rs. 700.

**Soln.**

**Ans: a**

Let the amount x be lent at r1% and remaining (P - x) at r2%, and let the sum of interests be I. Then, I = ${x × r_1 × 5}/100$ + ${(P - x) × r_2 × 5}/100$, which simplifies to 100I = 5 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 7, r_{2} = 2, P = 300, I = 155, we get x = Rs. 500.

### Question 2

The simple interest on a certain principal sum @9% for a period of 7 years is Rs. 3087. What is the sum?

### Question 3

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 4

A certain amount is split into two parts. The first part is invested at 8% p.a. and the second at 5% p.a. What is the total amount if the total simple interest at the end of 3 years is Rs. 357, and if the amount invested at 8% is Rs. 1800?

**A**

Rs. 1300.

**B**

Rs. 1400.

**C**

Rs. 1200.

**D**

Rs. 1500.

**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} = 5, x = 1800, I = 357, we get P = Rs. 1300.

### Question 5

The interest on a certain principal sum is 4/81 times the sum. What is R, the rate of interest, if the time is R years?

### More Chapters | See All...

abba Series | Decimal Numbers | Problems on Ages | Percentages | Probability | Paper Folding | Logarithms | Data Sufficiency | Simple Interest | Missing Numbers | More...

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 2017-04-07.