Sonali borrowed a certain sum at the rate of 15% per annum. if she paid at the end of 2 years is Rs.1290 is interest compounded annually, find the sum she borrowed.
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Dear Student,
◆ Answer -
Sum borrowed by Sonali = Rs. 975.4
● Explanation -
Payment due after 2 years is calculated by -
Payment due = P (1+r)^t
1290 = P (1 + 15/100)^2
1290 = P (1 + 0.15)^2
1290 = P × 1.15^2
1290 = P × 1.3225
P = 1290 / 1.3225
P = Rs. 975.4
Hence, the sum borrowed is Rs 975.4.
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