# Aptitude - Simple Interest Online Quiz

Following quiz provides Multiple Choice Questions (MCQs) related to **Simple Interest**. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using **Show Answer** button. You can use **Next Quiz** button to check new set of questions in the quiz.

Q 1 - An acquires Rs 800 at the rate of 12% for each annum simple interest and B obtains Rs 910 at the rate of 10% for every annum basic interest. In how long will their measures of obligations be equivalent?

### Answer : C

### Explanation

Let the required time be x years. Then, 800+800 *12/100*x= 910+910*10/100*x => (96x-91x) =110 => 5x= 110 => x=22.

Q 2 - At what rate of simple interest a certain aggregate will be multiplied in 15 years?

### Answer : C

### Explanation

Let the sum be rs. x. then, S.I = Rs.x. Rate = (100*S.I / sum*time) = (100*x/x*15) % p.a = 20/3% p.a.

Q 3 - Mr. A loans 40% of the whole at 15% p.a., half of rest aggregate at 10% p.a. also, the rest at 18% p.a. Simple interest. What might be the rate of interest per annum figured in general total?

### Answer : D

### Explanation

Let the whole sum be Rs 100. Sum at 15% p.a. =Rs 40, Rest=Rs 60. Sum at 10% p.a. =Rs 30, sum at 18% p.a. =Rs 30. S.I. on Rs 100 for 1 years = (40*15/100*1) + (30*10/100*1) + (30*18/100*1) = Rs (6+3+ 5.4) =Rs 14.4. Required rate = 14.4%p.a.

Q 4 - A cash bank finds that because of a fall in the yearly rate of interest from 8% to 31/4% his yearly salary reduces by Rs 61.50. His capital is:

### Answer : C

### Explanation

Let the capital be RS. x. then (x*8/100*1) ?(x*31/4*1/100*1) = 123/2 => 2x/25-31x/400 = 123/2 => 32x-31x = 24600 => x= 24600 Hence, the capital is Rs. 24600.

Q 5 - A sum of money doubles itself in 20 years. What is the rate of interest?

### Answer : B

### Explanation

Here, I = P. Given T = 20 years. R = ? We know, I = PTR/100 Or, R = I*100/PT = P*100/P*20 = 5%

Q 6 - In what time will the simple interest be 2/5 of the principal at 8 percent per annum?

### Answer : C

### Explanation

If Principal = Rs x, then I = 2x/5. Rate = 8 % Time = I*100/P*R = (2x/5)*100/x*8 = 5 years

Q 7 - The simple interest on a sum of money is 4/9 of the principal and the number of years is equal to the rate percent per annum. The rate per annum is

### Answer : B

### Explanation

We know, I = PTR/100 According to question, I = 4P/9 and r = t 4P/9 = P*r*r/100 Or, r2 = 400/9 Or, r = 20/3

Q 8 - The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rate of interest is?

### Answer : B

### Explanation

(^{1500 x R1 x 3}⁄_{100}) - (^{1500 x R2 x 3}⁄_{100}) = 13.50 = 4500 (R_{1}- R_{2}) = 1350 = R_{1}- R_{2}=^{1350}⁄_{4500}= 0.3%

Q 9 - A person invested in all Rs. 2600 at 4%, 6%, and 8% per annum simple interest. At the end of the year, he got the same interest in all the three cases. The money invested at 4% is?

### Answer : A

### Explanation

Let the parts be a,b and [2600 - (a + b)] then,^{a x 4 x 1}⁄_{100}) = (^{b x 6 x 1}⁄_{100}) = (^{[2600 - ( a + b)] x 8 x 1}⁄_{100}) =^{b}⁄_{a}=^{4}⁄_{6}=^{2}⁄_{3}or y =^{2a}⁄_{3}So,^{a x 4}⁄_{100}^{(7800 - 5a) x 8}⁄_{3}= 52a = (7800 x 8)

a =^{7800 x 8}⁄_{52}= 1200