Question Details

The simple interest on a sum for 8 years is 45 of the sum. The rate of interest per annum is:

Options

A

20%

B

10%

C

5%

D

15%

Show Answer

Correct Answer :

Option B

10%

Solution :

The correct option is 10%.

Let the principal sum be P, the rate of interest per annum be R%, and time period T be 8 years.

According to the given question, Simple Interest (SI) is 45 of the principal sum (P):

SI=45P

We know the formula for Simple Interest is:

SI=P×R×T100

Substituting the given values into the formula:

45P=P×R×8100

Dividing both sides by P:

45=8R100

Solving for R:

R=4×1005×8

R=40040=10%

Hence, the rate of interest per annum is 10%.

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