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### Question 1

A certain amount is split into two parts. The first part is invested at 10% p.a. and the second at 5% p.a. What is the total amount if the total simple interest at the end of 2 years is Rs. 240, and if the amount invested at 10% is Rs. 1400?

**A**

Rs. 1000.

**B**

Rs. 1100.

**C**

Rs. 900.

**D**

Rs. 1200.

**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 = ${x × r_1 × 2}/100$ + ${(P - x) × r_2 × 2}/100$, which simplifies to 100I = 2 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 10, r_{2} = 5, x = 1400, I = 240, we get P = Rs. 1000.

### Question 2

Mr. X puts an amount of Rs. 3900 in a simple interest scheme. If he gets a total amount of Rs. 5304 after 4 months, what is the rate of interest?

**A**

${3/4}$% p.a.

**B**

9% p.a.

**C**

${11/12}$% p.a.

**D**

1% p.a.

**Soln.**

**Ans: a**

The interest is I = 5304 - 3900 = 1404. So R = $(I × 100)/(T × P)$. Solving, we get R = $(1404 × 100)/(4 × 3900)$ = 9% per month, which is ${3/4}$% per annum. *Please note that since the time is in months the rate is also p.m.*

### Question 3

An investor puts an amount of Rs. 1500 in a simple interest scheme. If the rate of interest is 2%, how long does he have to wait for getting an amount of Rs. 1560?

### Question 4

There are two simple interest investment options I and II. The rate of interest in option I is ${5/16}$ times the rate for option II. The time period in option I is 16 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

Mr. X borrowed Rs. 1100 from Mr. Y on simple interest @6% for 6 years. He then adds an amount x to it and lends it to Mr. Z @9% for the same duration. What is x if he gains Rs. 414?

### More Chapters | See All...

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This Blog Post/Article "Simple Interest Quiz Set 005" 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