Question

In a partnership, A invested Rs. 100 for 3 months, B invested Rs. 50 for 4 months and C invested Rs. 30 for 5 months. If the total profit in that year is Rs. 3939 what is the profit earned by C?

• A. Rs. 400
• B. Rs. 504
• C. Rs. 909
• D. Rs. 234

Answer 1

The correct option is C

Rs. 909

Here, A's capital was invested for 3 months, B's capital was invested for 4 months, C's capital was invested for 5 months.

$\Rightarrow$ 100 $\times$ 3 : 50 $\times$ 4 : 30 $\times$ 5 = 300 : 200 : 150
$\Rightarrow$ 6 : 4 : 3

So, from Rs. 3939, C will earn a profit of $3939\times \frac{3}{6+4+3}$

$\Rightarrow$ $3939\times \frac{3}{13}$ = Rs. 909