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A sum of Rs. 18,000 gives a simple interest of Rs. 3,240 in 2 years and 3 months. The rate of interest per annum is:
Question

A sum of Rs. 18,000 gives a simple interest of Rs. 3,240 in 2 years and 3 months. The rate of interest per annum is:

A.

10%

B.

12%

C.

8%

D.

7%

Correct option is C

Given:
Principle = Rs 18000
Simple interest = Rs 3240
Time = 2 years 3 months = 2312=214=942\frac{ 3}{12} = 2 \frac{1}{4} = \frac{9}{4 }​yrs
Formula Used:
Simple interest = (P×R×T)100\frac{(P\times R\times T)}{100}​​
Solution:
3240=(18000×R×9)(100×4)R=8%p.a.3240= \frac{(18000 \times R \times 9)}{(100 \times 4)} \\\\ \\R=8\% p.a.​​

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