Question

A and B start a business jointly. A invests Rs. 16,000 for 8 months and B remains in the business for 4 months. Out of total profit, B claims $\frac{2}{7}$ of the profit. How much money was contributed by B ?

• A. Rs. 10,500
• B. Rs. 11,900
• C. Rs. 12,800
• D. Rs. 13,600

Answer 1

The correct option is C Rs. 12,800

Let the total profit = x
B's share = $\frac{2x}{7}$
A's share = $x\frac{2x}{7}=\frac{5x}{7}$
$A:B=5:7$
Let the money contributed by B = b
Then $A:B=16000\times 8:b\times 4=5:2$
$\Rightarrow \frac{(16000\times 8)}{4b}=\frac{5}{2}$
$\Rightarrow b=\frac{(16000\ast 8\ast 2)}{(4\ast 5)}=800\times 8\times 2=12800$