₹3903 is to be divided between two children so that the elder child's share, left to grow for 7 years, and the younger child's share, left to grow for 9 years, come to exactly the same amount, compound interest being 4% per annum in both cases. The elder child's share (in ₹) is:

Question

Accepted Answer

2028. The elder's share must satisfy E(1.04)⁷ = Y(1.04)⁹, so E/Y = (1.04)² = 1.0816 = 676/625. The parts add to 1301 and 3903/1301 = 3, so E = 3 × 676 = ₹2028 and Y = 3 × 625 = ₹1875. The share with less time to grow has to be the larger one; halving the money (₹1953 each, allowing for rounding) would leave the elder child short, and ₹1875 is the younger child's share.

₹3903 is to be divided between two children so that the elder child's share, left to grow for 7 years, and the younger child's share, left to grow for 9 years, come to exactly the same amount, compound interest being 4% per annum in both cases. The elder child's share (in ₹) is:

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