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### Question 1

An amount of Rs. 2143 is split into two parts. The first part is invested @10% for 4 years, and the second @4% for 10 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

1.

**B**

$1{1/40}$.

**C**

${39/40}$.

**D**

$1{1/20}$.

**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 (4 × 10) : (10 × 4) = 40 : 40, or same as 1. *Please note that the answer is independent of the value of the total amount.*

### Question 2

What is the interest on Rs. 9500 @2% for 73 days starting from Jan 1, 2201?

### Question 3

A sum of Rs. 1900 is split into two parts. The first part is invested at 8% p.a. and the second at 6% p.a. What is the amount invested at 8% if the total simple interest at the end of 5 years is Rs. 620?

**A**

Rs. 500.

**B**

Rs. 600.

**C**

Rs. 400.

**D**

Rs. 700.

**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 = ${x × r_1 × 5}/100$ + ${(P - x) × r_2 × 5}/100$, which simplifies to 100I = 5 × ($x × (r_1 - r_2) + P × r_2$). Putting r_{1} = 8, r_{2} = 6, P = 1900, I = 620, we get x = Rs. 500.

### Question 4

The simple interest on a certain principal sum @2% for a period of 4 years is Rs. 360. What is the sum?

### Question 5

An amount of Rs. 2143 is split into two parts. The first part is invested @17% for 4 years, and the second @4% for 17 years. What is the ratio of the first part is to the second part if they yield the same amount of simple interest?

**A**

1.

**B**

$1{1/68}$.

**C**

${67/68}$.

**D**

$1{1/34}$.

**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 (4 × 17) : (17 × 4) = 68 : 68, or same as 1. *Please note that the answer is independent of the value of the total amount.*

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This Blog Post/Article "Simple Interest Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.