Shweta, Piyush and Nachiket together invested Rs 80000 and started a b

1.	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» Total investment = Rs 80000 Nachiket’s investment = Total investment – (Shweta’s investment + Piyush’s investment) = 80000 – (30000+ 12000) = 80000 – 42000 = Rs 38000 Profit earned = 24% ∴ Total profit = 24% of 80000 = 24/100 x 80000 = Rs 19200 Proportion of investment = 30000 : 12000 : 38000 = 15 : 6 : 19 …. (Dividing by 2000) Let the profit of Shweta, Piyush and Nachiket be Rs 15x, Rs 6x and Rs 19x respectively. 15x + 6x + 19x = 19200 ∴ 40x = 19200 ∴ x = 19200/40 = 480 ∴ Nachiket’s profit = 19x = 19 × 480 = Rs 9120 ∴ Nachiket’s investment is Rs 38000 and his profit is Rs 9120.

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»

Total investment = Rs 80000

Nachiket’s investment = Total investment – (Shweta’s investment + Piyush’s investment)

= 80000 – (30000+ 12000)

= 80000 – 42000 = Rs 38000

Profit earned = 24%

∴ Total profit = 24% of 80000

= 24/100 x 80000

= Rs 19200

Proportion of investment = 30000 : 12000 : 38000

= 15 : 6 : 19 …. (Dividing by 2000)

Let the profit of Shweta, Piyush and Nachiket be Rs 15x, Rs 6x and Rs 19x respectively.

15x + 6x + 19x = 19200

∴ 40x = 19200

∴ x = 19200/40 = 480

∴ Nachiket’s profit = 19x = 19 × 480 = Rs 9120

∴ Nachiket’s investment is Rs 38000 and his profit is Rs 9120.