Question

Three partners, X, Y and Z. shared profits. If the total profit was Rs. 3,000. X's share being Rs. 400 less than Z's and Y's share being Rs. 200 less than Z's, then find the profit sharing ratio of X : Y : Z.
1. 2 : 3 : 4
2. 3 : 4 : 5
3. 4 : 5 : 6
4. 5 : 6 : 7

Answer 1

Correct Answer - Option 3 : 4 : 5 : 6

Given:

Total Profit = Rs. 3000

X’s share is 400 less than Z

Y’s share is 200 less than Z

Calculation:

Let the share of Z be ‘a’

⇒ X’s share = a – 400

⇒ Y’s share = a – 200

According to the question,

⇒ X + Y + Z = 3000

⇒ a + (a – 200) + (a – 400) = 3000

⇒ 3a – 600 = 3000

⇒ 3a = 3000 + 600

⇒ 3a = 3600

⇒ a = 1200

Now shares will be,

⇒ X’s share = 1200 – 400 = 800

⇒ Y’s share = 1200 – 200 = 1000

⇒ Ratio of profit of X : Y : Z = 800 : 1000 : 1200

Simplifying ratio, we get

 ⇒ Ratio of profit of X : Y : Z = 4 : 5 : 6

∴ The ratio of share of profit of X, Y and Z is 4 : 5 : 6