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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?
Solution
Nachiket’s investment = Total investment − (Shweta’s investment + Piyush’s investment)
= 80000 − (30000 + 12000)
= 80000 − 42000
= 38000 rupees
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, the proportion of profit is 15 : 6 : 19.
Now, Profit = `24/100xx(80000)`
= 19200 rupees
Therefore, Nachiket’s share of the profit is given by
= `19/40xx19200`
= 9120 rupees
Hence, Nachiket’s investment and his share of the profit are 38000 and 9120 rupees respectively.
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