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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?

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Solution

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 = 24100×80000

=19200 rupees

Therefore, Nachiket’s share of the profit is given by

= 1940×19200

=9120 rupees

Hence, Nachiket’s investment and his share of the profit are 38000 and 9120 rupees respectively.

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