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Find the principal which amounts to ₹31,492.80 after 3 years at 8% interest per annum, compounded annually.
Question

Find the principal which amounts to ₹31,492.80 after 3 years at 8% interest per annum, compounded annually.

A.

₹26,100

B.

₹24,000

C.

₹25,000

D.

₹26,800

Correct option is C

Given:
Amount = ₹31,492.80
Time = 3 years
Rate = 8% per annum compounded annually
Formula Used:
Amount = Principal × (1+Rate100)Time (1 + \frac{Rate}{100})^{Time}​​
Solution:
31492.80 = P×(1+8100)3 P × (1 + \frac{8}{100})^{3}​​

31492.80 = P×(1.08)3 P × (1.08)^{3}​​

31492.80 = P × 1.259712

P = 31492.801.259712 \frac{31492.80}{1.259712}​ = 25000

Therefore, the principal is ₹25,000.
Final Answer
So the correct answer is (c)

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