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### Question 1

There are two simple interest investment options I and II. The rate of interest in option I is ${4/11}$ times the rate for option II. The time period in option I is 11 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 2

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 3

An investor puts an amount of Rs. 3000 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. 4080?

### Question 4

A sum of Rs. 1100 is lent in two parts. One at 13% p.a. and one at 6% p.a. What is the amount lent at 13% if the total simple interest at the end of 5 years is Rs. 715?

**A**

Rs. 1100.

**B**

Rs. 1200.

**C**

Rs. 1000.

**D**

Rs. 1300.

**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} = 13, r_{2} = 6, P = 1100, I = 715, we get x = Rs. 1100.

### 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?

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This Blog Post/Article "Simple Interest Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-05-17.