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### Question 1

A certain amount is split into two parts. The first part is invested at 8% p.a. and the second at 5% p.a. What is the total amount if the total simple interest at the end of 3 years is Rs. 357, and if the amount invested at 8% is Rs. 1800?

**A**

Rs. 1300.

**B**

Rs. 1400.

**C**

Rs. 1200.

**D**

Rs. 1500.

**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 = ${x × r_1 × 3}/100$ + ${(P - x) × r_2 × 3}/100$, which simplifies to 100I = 3 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 8, r_{2} = 5, x = 1800, I = 357, we get P = Rs. 1300.

### Question 2

The difference between simple interests on an amount @9% for 15 years and at 6% for 12 years is Rs. 189. What is the amount?

### Question 3

An amount of Rs. 1000 is split into two parts. The first part is invested @2% for 3 years, and the second @10% for 6 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

10.

**B**

$10{1/6}$.

**C**

$9{5/6}$.

**D**

$10{1/3}$.

**Soln.**

**Ans: a**

Let the amounts be x and y. We have x × r_{1} × t_{1} = y × r_{2} × t_{2}. We can see that x : y is same as r_{2}t_{2} : r_{1}t_{1}. The ratio is (10 × 6) : (2 × 3) = 60 : 6, or same as 10. *Please note that the answer is independent of the value of the total amount.*

### Question 4

The interest on Rs. 16000 @9% for a certain number of days starting from Jan 1, 2001 is Rs. 288. How many days?

### Question 5

The simple interest on a certain principal sum @8% for a period of 6 years is Rs. 864. What is the sum?

### More Chapters | See All...

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This Blog Post/Article "Simple Interest Quiz Set 015" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.