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X and Y started a business investing Rs. 12000 and Rs. 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs. 12500. What is the share (in Rs.) of Z in the profit?
  • a)
    6000
  • b)
    4500
  • c)
    7200
  • d)
    7500
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
X and Y started a business investing Rs. 12000 and Rs. 9000 respective...
X invested Rs. 12000 for 4 months
⇒ X’s total capital investment = 12000 × 4 = 48000
Y invested Rs. 9000 for 12 months
⇒ Y’s total capital investment = 9000 × 12 = 108000
Z invested Rs. 18000 for 12 - 4 = 8 months
⇒ Z’s total capital investment = 18000 × 8 = 144000
∵ Ratio of profit share = Ratio of total capital investment
⇒ Ratio of profit share = 48000 ∶ 108000 ∶ 144000 = 4 ∶ 9 ∶ 12
Sum of ratios = 4 + 9 + 12 = 25
Now, total profit = Rs. 12500
∴ Z’s profit share = 12/25 × 12500 = Rs. 6000
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Most Upvoted Answer
X and Y started a business investing Rs. 12000 and Rs. 9000 respective...
Given Information:
- Initial investment by X = Rs. 12000
- Initial investment by Y = Rs. 9000
- X left the business after 4 months
- Z joined the business after X left by investing Rs. 18000
- Total profit at the end of the year = Rs. 12500

Calculation:
1. Calculate the share of X and Y for the first 4 months:
- X's share = (X's investment) x (time period of investment) = (12000) x (4) = Rs. 48000
- Y's share = (Y's investment) x (time period of investment) = (9000) x (4) = Rs. 36000

2. Calculate the share of Z for the remaining 8 months:
- Z's investment = Rs. 18000
- Z's share = (Z's investment) x (time period of investment) = (18000) x (8) = Rs. 144000

3. Calculate the total share of X, Y, and Z:
- Total share = (X's share) + (Y's share) + (Z's share) = 48000 + 36000 + 144000 = Rs. 228000

4. Calculate the share of Z in the profit:
- Share of Z = (Z's share) / (Total share) x (Total profit) = (144000) / (228000) x (12500) = Rs. 6000

Therefore, the share of Z in the profit is Rs. 6000.
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X and Y started a business investing Rs. 12000 and Rs. 9000 respectively. After 4 months, X left the business and Z joined the business by investing Rs. 18000. At the end of the year, there was a profit of Rs. 12500. What is the share (in Rs.) of Z in the profit?a)6000b)4500c)7200d)7500Correct answer is option 'A'. Can you explain this answer?
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