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### Question 1

An investor puts an amount of Rs. 3200 in a simple interest scheme. If it amounts to Rs. 4640 in 9 years @5%, what would it had amounted to had the rate been 2% more?

### Question 2

A sum of Rs. 1200 is split into two parts. The first part is invested at 9% p.a. and the second at 4% p.a. What is the amount invested at 9% if the total simple interest at the end of 6 years is Rs. 558?

**A**

Rs. 900.

**B**

Rs. 1000.

**C**

Rs. 800.

**D**

Rs. 1100.

**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 = ${x × r_1 × 6}/100$ + ${(P - x) × r_2 × 6}/100$, which simplifies to 100I = 6 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 9, r_{2} = 4, P = 1200, I = 558, we get x = Rs. 900.

### Question 3

Mr. X borrowed Rs. 1500 from Mr. Y on simple interest @4% for 19 years. He then adds an amount x to it and lends it to Mr. Z @8% for the same duration. What is x if he gains Rs. 2052?

### Question 4

A sum of Rs. 34300 is divided into three parts such that simple interest on these parts at 10% p.a. after 5, 11 and 18 years, respectively, is same. What is the amount of the smallest part?

**A**

Rs. 5500.

**B**

Rs. 5600.

**C**

Rs. 5400.

**D**

Rs. 5700.

**Soln.**

**Ans: a**

We should use the shortcut technique here. If r_{1}, t_{1}, r_{2}, t_{2} and r_{3}, t_{3} be the rates and times for three parts with same interest amount, then the three parts must be in the ratio $1/{r_1 t_1} : 1/{r_2 t_2} : 1/{r_3 t_3}$. In our case r_{1} = r_{2} = r_{3} = 10, which cancels, so the ratio is $1/t_1 : 1/t_2 : 1/t_3$. The product of denominators is 5 × 11 × 18 = 990. Thus, the three parts are in the ratio $198 : 90 : 55$. The parts are: 34300 × $55/{198 + 90 + 55}$, 34300 × $90/{198 + 90 + 55}$ and 34300 × $198/{198 + 90 + 55}$, which are 19800, 9000 and 5500. The smaller is Rs. 5500.

### Question 5

The simple interest on a hypothetical investment is Rs. 3430. 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 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.