1.

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

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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