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A sum becomes 2.5 times in 10 years under simple interest. Find the rate.

A10%

B12.5%

C15%

D20%

Answer:

C. 15%

Read Explanation:

Let the principal be (P).

The amount becomes (2.5P) in 10 years.

So, the simple interest earned is:

SI=2.5PP=1.5PSI = 2.5P - P = 1.5P

Using the simple interest formula:

SI=P×R×T100SI = \frac{P \times R \times T}{100}

1.5P=P×R×101001.5P = \frac{P \times R \times 10}{100}

Cancelling (P):

1.5=10R1001.5 = \frac{10R}{100}

1.5=R101.5 = \frac{R}{10}

R = 15

Rate of interest = (15%) per annum.


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