Rosy lent out a certain sum. She lent 1/3rd part of it at 7% SI, 1/4th part at 8% SI and remaining part at 10% SI. If Rs.510 is her total interest after one year, find the total money lent out. A. Rs.6000 B. Rs.5100 C. Rs. 5000 D. Rs.4500 Answer Workspace Report Discuss Answer with explanation Answer: Option A Explanation We know, SI = (P * R * T) / 100 Here, we have different Principals and different rate of interests Also, The remaining part = 1 – 1/3 – 1/4 = 5/12 ∴ SI = {P * (x1 * R1 + x2 * R2 + x3 * R3) * T} / 100 510 = {P * (1/3 * 7 + 1/4 * 8 + 5/12 * 10) * 1} / 100 51000 = P * (7/3 + 8/4 + 50/12) P = 51000 / (51/6) => P = Rs.6000 Workspace
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