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The simple interest is Rs. 168 for 8 years at 4% p.a. Find the principal.
Question

The simple interest is Rs. 168 for 8 years at 4% p.a. Find the principal.

A.

517

B.

527

C.

534

D.

525

Correct option is D

Given:
SI = 168
Rate = 4%
Time = 8 years
Formula Used:
SI=P×R×T100 =>P=SI×100R×TSI = \frac{P \times R \times T}{100}\\\ \\\Rightarrow P = \frac{SI \times 100}{R \times T}​​
Solution:
P=168×1004×8=1680032=525P = \frac{168 \times 100}{4 \times 8}= \frac{16800}{32}= 525​​
Principal = Rs. 525
Alternate Solution:
Interest per year = 4%
→ 32% for 8 yrs

So 32% = 168
1% =16832\frac{168}{32}
P = 100% × 16832\frac{168}{32}​= 525

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