1.  Divided ₹ 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 ?
A. ₹ 2028, ₹ 1875
B. ₹ 2018, ₹ 1885
C. ₹ 2008, ₹ 1895
D. ₹ 2038, ₹ 1865

Answer: Option A

Explanation:

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