Question

A invested Rs 5000 in a business. After 4 months B joined him by investing Rs 4800. After a further of 2 months, C joined them with Rs 5200. If after the end of year, they earned a total profit if Rs 14,400, then what is the difference between the shares of A and B?

Answer 1

So ratio of shares of profit of A : B : C is:

$\Rightarrow 5000\times 12:4800\times 8:5200\times 6$

$\Rightarrow 50\times 12:48\times 8:52\times 6$

$\Rightarrow 25:16:13$

Total annual profit is Rs $14,400$.

Thus difference in shares of A and B is,

$\Rightarrow \frac{25-16}{25+16+13}\times 14400$

$\Rightarrow \frac{9}{54}\times 14400$

$\Rightarrow 2400$ Rs

Thus, difference in shares of A and B is $2400$ Rs