A and B start a business jointly. A invests ₹ 16000 for 8 months and B remains in the business for 4 months. Out of the total profit, B claims $\frac{2}{7}$ of the profit. How much money was contributed by B?
(a)₹ 10500
(b)₹ 11900
(c)₹ 12800
(d)₹ 13600
Answer
Answer (as printed): C
Explanation
Let the total profit be ₹$x$. Then, $B=\frac{2x}{7}$ and $A=\left(x-\frac{2x}{7}\right)=\frac{5x}{7}$. So, $A:B=\frac{5x}{7}:\frac{2x}{7}=5:2$. Let B's capital be ₹$y$. Then, $\frac{16000\times8}{y\times4}=\frac{5}{2} \Leftrightarrow y=\left(\frac{16000\times8\times2}{5\times4}\right)=12800$.
Explanation as extracted from the printed page; notation may be imperfect.