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A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched ₹ 300 more. Find the sum.
Question

A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3% higher rate, it would have fetched ₹ 300 more. Find the sum.

A.

2000

B.

10000

C.

5000

D.

15000

Correct option is C

Given
Time = 2 years
Increase in rate = 3%
Extra interest = ₹ 300

Formula Used
Extra Interest = P×Increase in Rate×T100\frac{P \times \text{Increase in Rate} \times T}{100}​​

Solution
300=P×3×2100 300=6P100 P=300×1006=5000300 = \frac{P \times 3 \times 2}{100}\\\ \\300 = \frac{6P}{100}\\\ \\P = \frac{300 \times 100}{6} = 5000​​

Final Answer
So the correct answer is (c)

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