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A sum of money was invested at simple interest at a certain rate for 9 years. Had it been invested at an 8% per annum higher rate, it would have fetch
Question

A sum of money was invested at simple interest at a certain rate for 9 years. Had it been invested at an 8% per annum higher rate, it would have fetched ₹7,992 more. Find the principal.

A.

₹11,100

B.

₹10,200

C.

₹11,200

D.

₹12,200

Correct option is A

Given
Time = 9 years
Increase in interest rate = 8%
Increase in simple interest = ₹7,992
Formula Used
Simple Interest = (Principal × Rate × Time) / 100
Solution
The extra interest earned is due to the extra 8% rate over 9 years.

Extra Interest = P×8×9100=7992 \frac{P \times 8 \times 9}{100} = 7992​​

P×72100=7992 P=7992×10072 P=111×100=11100\frac{P \times 72}{100} = 7992 \\\ \\P = \frac{7992 \times 100}{72}\\\ \\P = 111 \times 100 = 11100​​
Final Answer
So the correct answer is (a)

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