Question

X, Y, and Z started a business with a collective investment of Rs. 50,000. X invests Rs. 4,000 more than Y and Y invests Rs. 5,000 more than Z. Find the share of X out of the total profit of Rs. 30,000.

1. Rs. 10,500
2. Rs. 12,600
3. Rs. 11,500
4. Rs. 8,500

Answer 1

Correct Answer - Option 2 : Rs. 12,600

Given:

X, Y, and Z started a business with a collective investment of Rs. 50,000. X invests Rs. 4,000 more than Y and Y invests Rs. 5000 more than Z.

Total profit = Rs. 30,000

Formula used:

The ratio of profit sharing = Ratio of (Investment × Time)

Calculations:

Let the amount invested by Z be Rs. P.

Amount invested by Y = P + 5000 and

Amount invested by X = P + 5000 + 4000 = (P + 9000)

⇒ P + P + 5000 + P + 9000 = 50000

⇒ 3P = 36000

⇒ P = 12000

Since the time period is same for all three, the ratio of profit sharing will depend upon the ratio of investment only.

The ratio in which profit will be shared between X, Y and Z

⇒ 21000 ∶ 17000 ∶ 12000

= 21 ∶ 17 ∶ 12

X’s share = 30000 × (21/50) = Rs. 12600

∴ X’s share is Rs. 12,600