An amount of money lent against simple interest at 4.5% per annum amounts to…
2024
An amount of money lent against simple interest at 4.5% per annum amounts to Rs. 381 after 6 years. Find the sum.
- A.
100
- B.
300
- C.
200
- D.
400
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Show answer & explanation
Correct answer: B
Concept: Simple Interest (SI) on a principal P at rate R% per annum for T years is SI = (P × R × T) / 100, so the Amount after T years is A = P + SI = P × (1 + RT/100).
Given: rate R = 4.5% per annum, time T = 6 years, amount A = Rs. 381.
Combined interest rate for the whole period: R × T = 4.5 × 6 = 27%.
Apply the amount formula: A = P × (1 + 27/100) = 1.27P.
Solve for P: P = 381 ÷ 1.27 = 300.
Check: simple interest on Rs. 300 for 6 years at 4.5% = 300 × 27/100 = 81, so the amount = 300 + 81 = 381, matching the given amount. Hence, the sum lent was Rs. 300.