Question

Sam and Suresh start a business with investments of Rs. $5000$ and Rs. $3000$ respectively. After $2$ months, Sam takes out Rs.$2000$ from his capital. After $1$ more month, Suresh takes out Rs.$2000$ of his capital while Sunil joins them with a capital of Rs. $6000$. At the end of $9$ months from the start, they earn a total profit of Rs.$4920$. Which of the following is the share of each member respectively in the profit

Answer 1

Their investing ratio :

$\Rightarrow (5000\times 2+3000\times 7):(3000\times 3+1000\times 6):(6000\times 6)$

$\Rightarrow 30000:15000:36000$

$\Rightarrow 31:15:36$

Total profit for $9$ months $=$ Rs. $4920$

Let the common share of profit be $x$ Rs.

Therefore,

$\Rightarrow (31+15+36)\times x=4920$

$\Rightarrow 82x=4920$

$\Rightarrow x=60$ Rs.

$\therefore$ Sam's share $=31\times 60=1860$ Rs.

$\therefore$ Suresh's share $=15\times 60=900$ Rs.

$\therefore$ Sunil's share $=36\times 60=2160$ Rs.