Question

Shweta, Piyush and Nachiket together invested 80000 rupees and started a business of selling sheets and towels from Solapur. Shweta’s share of the capital was 30000 rupees and Piyush’s 12000. At the end of the year they had made a profit of 24%. What was Nachiket’s investment and what was his share of the profit?

Answer 1

Nachiket’s investement = Total investment − (Shweta’s investment + Piyush’s investment)
$=80000-(30000+12000)$
$=80000-42000$
$=38000rupees$
The proportion of Shweta's, Piyush's and Nachiket's investment is given by
$30000:12000:38000=15:6:19$
The profit is shared in the same proportion as the investment, hence, proportion of profit is $15:6:19.$
Now, Profit = $\frac{24}{100}\times 80000$
$=19200$ rupees
Therefore, Nachiket’s share of the profit is given by
= $\frac{19}{40}\times 19200$
$=9120$ rupees
Hence, Nachiket’s investment and his share of the profit are ​$38000$ and $9120$ rupees respectively.