Question Bank › General Aptitude › Simple Interest › ABC26GN4090A man divided his share between his sons A and B in such a way that the interest received by A at 15% p.a… · ABC26GN4090 Subject: General Aptitude · Chapter: Simple Interest · Exam: M.A.T. 2010
A man divided his share between his sons A and B in such a way that the interest received by A at 15\% p.a. for 3 years is double the interest received by B at 12\% p.a. for 5 years. In what ratio was his share divided?
(a) $\frac{2}{3}$
(b) $\frac{3}{2}$
(c) $\frac{3}{8}$
(d) $\frac{8}{3}$
Answer Explanation Let A's share $=₹ x$ and B's share $=₹ y$. Then, $\frac{x \times 15 \times 3}{100}=2 \times \frac{y \times 12 \times 5}{100} \Rightarrow 45 x=120 y$ $$\Rightarrow \quad \frac{x}{y}=\frac{120}{45}=\frac{8}{3} .$$
Explanation as extracted from the printed page; notation may be imperfect.
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