Multiple choice

A sum of Rs.5000 is lent at two parts in such a way that first part at 4% and second at 5% per annum. If total interest received after two years is 440. Find the sum lent at 4%

  1. 3000

  2. 3125

  3. 3220

  4. 3020

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A Correct answer
Explanation

Let 4% amount = x, then 5% amount = 5000 - x. Total interest: x×0.04×2 + (5000-x)×0.05×2 = 440. Simplifying: 0.08x + 0.1(5000-x) = 440. 0.08x + 500 - 0.1x = 440. -0.02x = -60; x = 3000. Verify: 3000×4%×2 + 2000×5%×2 = 240 + 200 = 440.