Question

Sumit and Rumit started a business by investing Rs 7200 and Rs 6400 respectively. After 6 months, Sumit withdrew half and Rumit withdrew 1/4th of their respected money invested. If after a year, a total profit of Rs 19,800 is made, what is the share of Sumit?

Answer 1

Initially Sumit and Rumit invested Rs $7200$ and Rs $6400$.

After $6$ months,

Sumit invested $=3600$ Rs.

Sumit invested $=\frac{3}{4}\times 6400=4800$ Rs.

Ratio of shares of profit of Sumit : Rumit is,

$\Rightarrow 7200\times 6+3600\times 6:6400\times 6+4800\times 6$

$\Rightarrow 27:28$

Total profit is $19800$ Rs.

Share of Sumit,

$\Rightarrow \frac{27}{27+28}\times 19800$

$\Rightarrow \frac{27}{55}\times 19800$

$\Rightarrow 9720$ Rs.

Thus Sumit's share is $9720$ Rs.