Question

A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs.$6500$ for $6$ months, B would invest Rs.$8400$ for $5$ months and C would invest Rs.$10000$ for $3$ months. A wants to be the working member for which, he was to receive $5\%$ of the profits. The profit earned was Rs.$7400$. Calculate the share of B in the profit.

• A. Rs. $1990$
• B. Rs. $2000$
• C. Rs. $2600$
• D. Rs. $2660$

Answer 1

The correct option is D Rs. $2660$

For managing, A received $=5\%$ of Rs.$7400=Rs.370$.
Balance $=Rs.\left(\begin{array}{c}7400-370\end{array}\right)=Rs.7030$.
Ratio of their investments $=\left(\begin{array}{c}6500\times 6\end{array}\right):\left(\begin{array}{c}8400\times 5\end{array}\right):\left(\begin{array}{c}10000\times 3\end{array}\right)$
$=39000:42000:30000$
$=13:14:10$
B"s share $=7030\times 14/37=Rs.2660$