Question

Rahul invested X rupees for 3 years at a rate of y% interest. Shyam invested the same amount at the same rate for 12 years. Find the ratio of simple interest earned by Rahul to simple interest earned by Shyam.

A. 1 ∶ 3

B. 1 ∶ 4

C. 2 ∶ 3

D. 4 ∶ 1

1. A
2. B
3. D
4. C

Answer 1

Correct Answer - Option 2 : B

Given 

Rahul invest certain amount for is 3 years 

Shyam invest same amount for is 12 years 

Formula Used 

Simple Interest = (Principal × time × Rate)/100

Calculation 

According to question,

⇒ Principal and rate is same 

Simple interest depend on time period, 

Ratio of time = Ratio of Simple interest 

Ratio of time (Rahul : Shyam)

⇒ 3 : 12 = 1 : 4 

Ratio of Simple interest (Rahul : Shyam)

⇒ 1 : 4 

∴ The Ratio of Simple interest  for Rahul : Shyam is 1 : 4