$A$ , $B$ 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. $10, 000$ 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.

Rs.

1900

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Rs.

2660

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Rs.

2800

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Rs.

2840

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Solution

The correct option is B Rs. $2660$
For managing, $A$ received $= 5$ % of Rs. $7400 =$ Rs. $370$ .
Balance $=$ Rs. $(7400 - 370) =$ Rs. $7030$ .
Ratio of their investments $= (6500 \times 6) : (8400 \times 5) : (10000 \times 3)$
$= 39000 : 42000 : 30000$
$= 13 : 14 : 10$
$∴$ $B$ 's share $=$ Rs. $(7030 \times \frac{14}{37}) =$ Rs. $2660$ .

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The correct option is B Rs. 2660For managing, A received =5% of Rs. 7400= Rs. 370.Balance = Rs. (7400−370)= Rs. 7030.Ratio of their investments =(6500×6):(8400×5):(10000×3) =39000:42000:30000 =13:14:10∴ B's share = Rs. (7030×1437)= Rs. 2660.