Shweta, Piyush and Nachiket together invested ₹80000 and started a business of selling sheets and towels from Solapur. Shweta’s share of capital was ₹30000 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 profit?
Shweta, Piyush and Nachiket together invested ₹80000 and started a business of selling sheets and towels from Solapur. Shweta’s share of capital was ₹30000 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 profit?
Given,
Total money invested = ₹80000
Money invested by Shweta = ₹30000
Money invested by Piyush = ₹12000
Let the money invested by Nachiket = ₹x
∴ Total investment = x + 30000 + 12000
⇒ 80000 = x + 30000 + 12000
⇒ 80000 = x + 42000
⇒ x = 80000 - 42000 = 38000
∴ Money invested by Nachiket is ₹ 38000.
Given,
Total profit earned = 24% of ₹80000
⇒ Profit = 24/100 × 80000
⇒ Profit = ₹19200
As three of them invested for the same time so, the ratio of their profit distribution would also in the ratio of their investments.
⇒ 30000:12000:38000 = 15:6:19
So, the total profit would be = 15x + 6x + 19x
⇒ 19200 = 40x
⇒ x = 19200/40 = 480
∴ Nachiket’s share of profit would be 19x = 19 × 480 = ₹ 9120.
Given,
Total money invested = ₹80000
Money invested by Shweta = ₹30000
Money invested by Piyush = ₹12000
Let the money invested by Nachiket = ₹x
∴ Total investment = x + 30000 + 12000
⇒ 80000 = x + 30000 + 12000
⇒ 80000 = x + 42000
⇒ x = 80000 - 42000 = 38000
∴ Money invested by Nachiket is ₹ 38000.
Given,
Total profit earned = 24% of ₹80000
⇒ Profit = 24/100 × 80000
⇒ Profit = ₹19200
As three of them invested for the same time so, the ratio of their profit distribution would also in the ratio of their investments.
⇒ 30000:12000:38000 = 15:6:19
So, the total profit would be = 15x + 6x + 19x
⇒ 19200 = 40x
⇒ x = 19200/40 = 480
∴ Nachiket’s share of profit would be 19x = 19 × 480 = ₹ 9120.
