Question

Shweta, Piyush and Nachiket together invested Rs 80000 and started a business of selling sheets and towels from Solapur. Shweta's share of the capital was Rs 30000 and Piyush's Rs 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

Total investment $=$ Rs 80000
Nachiket's investment $=$ Total investment $-$ (Shweta's investment $+$ Piyush's investment) $=80000-(30000+12000)$
$$=80000-42000=\text{Rs}38000$$
Profit earned $=24\%$
$\therefore$ Total profit $=24\%$ of $80000=\frac{24}{100}\times 80000=$ Rs 19200
Proportion of investment $=30000:12000:38000$
$=15:6:19\dots$ (Dividing by 2000)
Let the profit of Shweta, Piyush and Nachiket be Rs $15x$, Rs $6x$ and Rs $19x$ respectively.
$15x+6x+19x=19200$
$\therefore 40x=19200$
$\therefore x=\frac{19200}{40}=480$
$\therefore$ Nachiket's profit $=19x=19\times 480=$ Rs 9120
$\therefore$ Nachiket's investment is Rs 38000 and his profit is Rs 9120 .