GMAT
题目
Rs. 16,820 is divided between Seeta and Geeta who are 27 and 25 years old, respectively. Their money is invested at 5% per annum compound interest in such a way that both receive equal money at the age of 40 years. Find the share of each out of Rs. 16,820.
解析
Geeta 更年轻，利息会计息15年；而 Seeta 的利息仅计息13年。若 Seeta 的初始投资大于 Geeta，那么两人最终获得的本利和会相等。
因此，选项C、D、E被排除。
=> Seeta 的本金 × $(1.05)^{13}$ = Geeta 的本金 × $(1.05)^{15}$
=> $\frac{\text{Seeta 的本金}}{\text{Geeta 的本金}} = 1.05^2 = 1.1025$
选项B：$\frac{\text{Seeta 的本金}}{\text{Geeta 的本金}}: \frac{8820}{8000} = 1.1025$
答案：B
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