Divided Rs. 3903 between A and B, so that A's share at

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Divided Rs. 3903 between A and B, so that A's share at the end of 7 years may equal to B's share at the end of 9 years, compound interest being at 4 per cent ?

1. Rs. 2028, Rs. 1875
2. Rs. 2018, Rs. 1885
3. Rs. 2008, Rs. 1895
4. Rs. 2038, Rs. 1865

Correct Option: A

We have (A's present share) (1 + 4/100)⁷ = (B's present share) (1 + 4/100)⁹
∴ A's present share/B's present share = (1 + 4/100)² = (26/25)² = 676/625

Dividing Rs. 3903 in the ratio of 676 : 625
∴ A's present share = 676/(676 + 625) of Rs .3903 = Rs. 2028
B's present share = Rs. 3903 - Rs. 2028 = Rs. 1875