InterviewSolution
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X and Y start a business with Rs. 25000 and Rs. 35000 respectively. After 4 months, Z joins the business with Rs. 45000. At the end of the year, Z gets RS. 9000 as his share of profit. Then Find the difference between the profit share of X and Y– 1). Rs. 30002). Rs. 3003). Rs. 18004). Rs. 1500 |
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Answer» X’s contribution in business = Rs. 25000 Y’s contribution in business = Rs. 35000 After 4 months, Z joined Z’s contribution in business = Rs. 45000 X, Y contributed for 12 months while Z contributed for 8 months. Thus, the profit sharing ratio: ∴ 25000 × 12 : 35000 × 12 : 45000 × 8 ⇒ 25 × 12 : 35 × 12 : 45 × 8 ⇒ 5 × 3 : 7 × 3 : 9 × 2 ⇒ 5 : 7 : 6 At the end of the year, Z gets Rs. 9000 as his profit SHARE Let the total profit be x ∴ Z’s share $(= \;x\; \times \frac{6}{{5 + 7 + 6}} = x \times \frac{6}{{18}}\; = \;9000)$ ⇒ x = 27000 The difference between the profit SHARES of X and Y $(= 27000 \times \left( {\frac{7}{{5 + 7 + 6}} - \frac{5}{{5 + 7 + 6}}} \right))$ = 27000 × (2/18) = Rs. 3000 Thus, the difference between the profit share of X and Y is Rs. 3000 |
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