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The simple interest on a principal amount (in Rs. ) is Rs. 177 for a period of 5 years at the rate of 2% per annum. The principal amount (in Rs. ) is:
Question

The simple interest on a principal amount (in Rs. ) is Rs. 177 for a period of 5 years at the rate of 2% per annum. The principal amount (in Rs. ) is:

A.

1764

B.

1773

C.

1771

D.

1770

Correct option is D

Given:
Simple Interest (SI) = ₹177
Time (T) = 5 years
Rate of interest (R) = 2% per annum
Formula Used:
Simple Interest (SI)=P×R×T100\text{Simple Interest (SI)} = \frac{P \times R \times T}{100}​​
Solution:
=>177=P×2×5100 =>177=10P100 =>P=177×10010 =>P=1770\Rightarrow 177 = \frac{P \times 2 \times 5}{100}\\\ \\\Rightarrow 177 = \frac{10P}{100}\\\ \\\Rightarrow P = \frac{177 \times 100}{10}\\\ \\\Rightarrow P = 1770​​

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