Question
A certain sum of money is invested in two schemes:
β’ Scheme A: Compound interest at 10% per annum, compounded annually, for 3 years. β’ Scheme B: Simple interest at 12% per annum for 4 years, on the same principal. The interest earned from Scheme B exceeds the interest earned from Scheme A by Rs. 1,490. Find the principal and also the total interest earned from both schemes together.Solution
Let principal = P. Interest from Scheme A (CI @ 10% for 3 years): CI = P[(1.10)^3 β 1] = P(1.331 β 1) = 0.331P. Interest from Scheme B (SI @ 12% for 4 years): SI = P Γ (12 Γ 4)/100 = 0.48P. Given: 0.48P β 0.331P = 1,490 0.149P = 1,490 P = 1,490 / 0.149 = 10,000. Now: Interest from Scheme A = 0.331 Γ 10,000 = Rs. 3,310. Interest from Scheme B = 0.48 Γ 10,000 = Rs. 4,800. Total interest from both schemes = 3,310 + 4,800 = Rs. 8,110. Answer: Principal = Rs. 10,000; total interest = Rs. 8,110.
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β4096 + β3249 = (?)2
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(72 × 52 + 1555 )/(79+60) = 2000 ÷ ?
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