1.

X and Y started a business by investing in the ratio of 3 : 5. After 4 months from the start of business Z joins with an amount equal to 1/4th of A and B. Find total profit at the end of the year, if Y got Rs. 22,500 as his share.1. Rs. 40,0002. Rs. 42,0003. Rs. 32,0004. Rs. 48,000

Answer» Correct Answer - Option 2 : Rs. 42,000

Given:

Ratio of investment of X and Y= 3 : 5

Investment of Z = 1/4 × (investment of X + investment of Y)

Time period for investment of X = time period for investment of Y = 12 months

Time period for investment of Z = 8 months

Profit of Y = Rs. 22500

Concept used:

Ratio of product of time and investment = Ratio of profit

Calculation:

Let investments of X and Y be 3X and 5X respectively

Investment of Z = 1/4 × (3X + 5X) = 1/4 × 8X = 2X

Ratio of investment of time and investment = 3X × 12 : 5X × 12 : 2X × 8 = 36X : 60X : 16X = 9 : 15 : 4

Ratio of product of time and investment = Ratio of profit

Ratio of profit = 9 : 15 : 4

Profit of Y = Rs. 22500 (Given)

⇒ 15R/28 = 22500

⇒ R/28 = 1500

⇒ R = 1500 × 28 = 42000

∴ Total profit is Rs. 42,000.


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