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How long (in years) will it take for ₹1,440 to become ₹2,700 at a rate of 10% per annum simple interest?
Question

How long (in years) will it take for ₹1,440 to become ₹2,700 at a rate of 10% per annum simple interest?

A.

10.75

B.

7.75

C.

9.75

D.

8.75

Correct option is D

Given:
- Principal (P) = ₹1,440
- Total Amount (A) = ₹2,700
- Rate of Interest (R) = 10% per annum

Formula Used:
Simple Interest (SI) = (P×R×T)100\frac{(P × R × T) }{100}
Total Amount (A) = P + SI

Solution:
Find the Simple Interest:
SI=AP=2,7001,440=1,260 SI=P×R×T100 1,260=1,440×10×T100 1,260=144×T T=1,260144=8.75 years \text{SI} = A - P = 2,700 - 1,440 = ₹1,260 \\\ \\\text{SI} = \frac{P \times R \times T}{100}\\\ \\1,260 = \frac{1,440 \times 10 \times T}{100} \\\ \\1,260 = 144 \times T \\\ \\T = \frac{1,260}{144} = 8.75 \, \text{years}\\\ \\​​

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