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Rohit, Gagan and Shalu invested in a business. Rohit invested 1/2th of the capital for 1/2 time, Gagan invested 1/3th of the capital for 1/4 time and Shalu invested the remaining capital for whole time. Find the share of Shalu in the total profit of Rs. 150000.

Rohit, Gagan and Shalu invested in a business. Rohit invested 1/2th of the capital for 1/2 time, Gagan invested 1/3th of the capital for 1/4 time and Shalu invested the remaining capital for whole time. Find the share of Shalu in the total profit of Rs. 150000. Correct Answer Rs. 50,000

Given

Rohit invested 1/2th of the capital for time = 1/2 time

Gagan invested 1/3th of the capital for time = 1/4 time

Total Profit earned = Rs. 150000

Calculation

Ratio of share profit of Rohit, Gagan, and Shalu

⇒ Share profit of Rohit: Share profit of Gagan : Share profit of Shalu

⇒ (1/2) × 1/2 : (1/3) × : (1 – 1/2 -1/3) × 1

⇒  1/4 : 1/12 : 1/6

⇒ 3 : 1 : 2

Share of Shalu in profit = 2/6 × 150000

⇒  Rs. 50000

∴ Share of Shalu in total profit is Rs. 50,000.

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