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What is that rate of simple interest at which a sum of money becomes three times of itself in 24 years?
Question

What is that rate of simple interest at which a sum of money becomes three times of itself in 24 years?

A.

9.28 percent

B.

10.28 percent

C.

8.33 percent

D.

8.68 percent

Correct option is C

Given:
The sum of money becomes three times of itself in 24 years.
Formula Used:
In simple interest, the total amount A after t years is given by:
A = P + SI
where:
P is the principal amount,
SI is the simple interest,
A is the total amount after t years.
We also know the formula for simple interest:
SI=P×R×t100SI = \frac{P \times R \times t}{100}​​
where R is the rate of interest per annum, and t is the time in years.
Solution:
Since the sum becomes three times of itself, the total amount is:
A = 3P
The simple interest earned will be:
SI = A – P = 3P − P = 2P
Using the formula for simple interest:

P=P×R×24100P = \frac{P \times R \times 24}{100}​​

2=R×241002 = \frac{R \times 24}{100}​​

R=2×10024=20024=8.33%R = \frac{2 \times 100}{24} = \frac{200}{24} = 8.33\%​​

Thus, The rate of simple interest is 8.33% per annum.

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