Rahul lend money to Puneet, Manish and Sandeep with the rate of interest of 10%, 12% and 15% per annum respectively. If the total interest accrued in 1 year was 3200 and the amount he lend to Sandeep is 150% of the amount he lend to Puneet and 240% of the amount he lend to Manish. What amount he lend to Manish?

Let Puneet = x, Manish = y, Sandeep = z. z = 1.5x = 2.4y. From z = 2.4y, y = z÷2.4. Interest: 0.1x + 0.12y + 0.15z = 3200. Substituting: 0.1x + 0.12(z÷2.4) + 0.15z = 3200. Since z = 1.5x: 0.1x + 0.12(1.5x÷2.4) + 0.15(1.5x) = 3200. 0.1x + 0.075x + 0.225x = 3200. 0.4x = 3200, x = 8000. y = 8000÷1.6 = 5000. But 5000 is not in A-D. Answer E (None of these) is correct.