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### Question 1

Mr. X borrowed Rs. 1800 from Mr. Y on simple interest @6% for 13 years. He then adds an amount x to it and lends it to Mr. Z @13% for the same duration. What is x if he gains Rs. 2483?

### Question 2

An investor puts an amount of Rs. 1600 in a simple interest scheme. If the rate of interest is 6% per month, how long does he have to wait for getting an amount of Rs. 2080?

### Question 3

There are two simple interest investment options I and II. The rate of interest in option I is ${5/8}$ times the rate for option II. The time period in option I is 8 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 4

A sum of Rs. 300 is lent in two parts. One at 10% p.a. and one at 3% p.a. What is the amount lent at 10% if the total simple interest at the end of 3 years is Rs. 300?

**A**

Rs. 1300.

**B**

Rs. 1400.

**C**

Rs. 1200.

**D**

Rs. 1500.

**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 = ${x × r_1 × 3}/100$ + ${(P - x) × r_2 × 3}/100$, which simplifies to 100I = 3 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 10, r_{2} = 3, P = 300, I = 300, we get x = Rs. 1300.

### Question 5

A sum of Rs. 500 is lent in two parts. One at 9% p.a. and one at 4% p.a. What is the amount lent at 9% if the total simple interest at the end of 4 years is Rs. 120?

**A**

Rs. 200.

**B**

Rs. 300.

**C**

Rs. 250.

**D**

Rs. 400.

**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 = ${x × r_1 × 4}/100$ + ${(P - x) × r_2 × 4}/100$, which simplifies to 100I = 4 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 9, r_{2} = 4, P = 500, I = 120, we get x = Rs. 200.

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This Blog Post/Article "Simple Interest Quiz Set 019" 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