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### Question 1

The simple interest on a hypothetical investment is Rs. 1250. What is the principal amount if the rate per annum, time in years and the principal, all have the same numerical value?

### Question 2

An investor puts an amount of Rs. 1600 in a simple interest scheme. If it amounts to Rs. 1696 in 3 years @2%, what would it had amounted to had the rate been 2% more?

### Question 3

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 4

There are two simple interest investment options I and II. The rate of interest in option I is $1{1/2}$ times the rate for option II. The time period in option I is 2 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 5

The simple interest on a hypothetical investment is Rs. 80. What is the principal amount if the rate per annum, time in years and the principal, all have the same numerical value?

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This Blog Post/Article "Simple Interest Quiz Set 014" 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