X, Y and Z invested Rs. 4,000, Rs. 6,000 and Rs. 8,000 respectively in a business. They invested the money for 3, 2

X, Y and Z invested Rs. 4,000, Rs. 6,000 and Rs. 8,000 respectively in a business. They invested the money for 3, 2 and 4 years respectively, If the total profit is Rs. 56,000, then what is the share of Y in the profit?

Rs. 18,000

Rs. 12,000

Rs. 15,000

Rs. 9,000

Sol:

X, Y and Z invested Rs. 4,000, Rs. 6,000 and Rs. 8,000 respectively in a business. 

They invested the money for 3, 2 and 4 years respectively. 

Total profit = Rs. 56000  Formula used: 

Profit = Investment × Time Period 

Calculation: 

Profit of X = 4000 × 3 = Rs. 12000 

Profit of Y = 6000 × 2 = Rs. 12000  

Profit of Z = 8000 × 4 = Rs. 32000 

Y’s share = [Y’s profit/(X + Y + Z)’s profit] × 56000 

Y’s share = [12000/56000] × 56000 = Rs. 12000

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