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The simple interest on a principal amount (in Rs.) is Rs. 378 for a period of 5 years at the rate of 9% per annum. The principal amount (in Rs.) is:
Question

The simple interest on a principal amount (in Rs.) is Rs. 378 for a period of 5 years at the rate of 9% per annum. The principal amount (in Rs.) is:

A.

840

B.

844

C.

845

D.

837

Correct option is A

Given:
Simple Interest (SI) = Rs. 378
Time (T) = 5 years
Rate (R) = 9% per annum
Required: Principal (P)
Formula Used:
Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100} \\
Solution:378=P×9×5100 378=45P100 P=378×10045 P=3780045=840378 = \frac{P \times 9 \times 5}{100} \\\ \\378 = \frac{45P}{100} \\\ \\P = \frac{378 \times 100}{45} \\\ \\P = \frac{37800}{45} = 840

378=P×9×5100 378=45P100 P=378×10045 P=3780045=840378 = \frac{P \times 9 \times 5}{100} \\\ \\378 = \frac{45P}{100} \\\ \\P = \frac{378 \times 100}{45} \\\ \\P = \frac{37800}{45} = 840​​


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