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What will be the ratio of simple interest earned by certain amount at the same rate of interest for 5 years and that for 15 years?
  • a)
    3 : 2
  • b)
    1 : 3
  • c)
    2 : 3
  • d)
    3 : 1
Correct answer is option 'B'. Can you explain this answer?
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What will be the ratio of simple interest earned by certain amount at ...
Ratio of Simple Interest Earned for 5 Years and 15 Years

Given that the same amount is invested at the same rate of interest for 5 years and 15 years. We need to find the ratio of simple interest earned for both the periods.

Let us assume that the principal amount is P, the rate of interest is r% per annum, and the time period is 5 years and 15 years.

The formula to calculate simple interest is:

Simple Interest = (P * r * t) / 100

Where P is the principal amount, r is the rate of interest, and t is the time period.

Simple Interest for 5 Years = (P * r * 5) / 100

Simple Interest for 15 Years = (P * r * 15) / 100

Dividing both the equations, we get:

Simple Interest for 5 Years / Simple Interest for 15 Years = (P * r * 5) / 100 / (P * r * 15) / 100

Simple Interest for 5 Years / Simple Interest for 15 Years = 1/3

Therefore, the ratio of simple interest earned for 5 years and 15 years is 1:3, which is option (B).
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What will be the ratio of simple interest earned by certain amount at ...
S.I. directly proportional to time....So, 5:15=1:3
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