₹2,210 is divided between A and B so that A's share after 3 years equals B's share after 5 years, both at 10% per annum compound interest. What is A's share?
A. ₹1100
B. ₹1210
C. ₹1000
D. ₹1150
A. ₹1100
B. ₹1210
C. ₹1000
D. ₹1150
Best answer
Answer: B. ₹1210
Answer: (B) ₹1210
\(A(1.1)^3 = B(1.1)^5\), so \(\frac{A}{B} = (1.1)^2 = \frac{121}{100}\).
A's share = \(\frac{121}{221} \times 2210\) = ₹1210 (and B's = ₹1000).
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