Jalal, Amit, and Feroz enter into a partnership. Jalal invests 4 times as much as Amit and Amit invest ¾ of what Feroz invests. At the end of the financial year, the total profit earned is Rs. 19,000. Find the share for Jalal?a)Rs. 15,000b)Rs. 12,000c)Rs. 13,000d)Rs. 10,000Correct answer is option 'B'. Can you explain this answer?

Question

Jalal, Amit, and Feroz enter into a partnership. Jalal invests 4 times as much as Amit and Amit invest &frac34; of what Feroz invests. At the end of the financial year, the total profit earned is Rs. 19,000. Find the share for Jalal?a)Rs. 15,000b)Rs. 12,000c)Rs. 13,000d)Rs. 10,000Correct answer is option 'B'. Can you explain this answer?

Answer

Understanding the Partnership Investments
To solve the problem, we need to establish the relationships between the investments of Jalal, Amit, and Feroz.
Investment Relations
- Let Amit's investment be A.
- Jalal invests 4 times as much as Amit:
Jalal's investment = 4A.
- Amit invests ¾ of what Feroz invests:
Feroz's investment = (4/3)A.
Total Investment Calculation
Now, we can compute the total investment of all three partners:
- Total Investment = Jalal's Investment + Amit's Investment + Feroz's Investment
Total Investment = 4A + A + (4/3)A
To combine these, we convert to a common denominator:
Total Investment = (12A/3) + (3A/3) + (4A/3)
Total Investment = (19A/3).
Profit Sharing
The profit is distributed in proportion to their investments. Given that the total profit is Rs. 19,000, we need to determine how much Jalal receives.
- Jalal's share of the profit = (Jalal's Investment / Total Investment) * Total Profit
- Jalal's share = (4A / (19A/3)) * 19000
- Simplifying gives:
Jalal's share = (4 * 3/19) * 19000
Jalal's share = (12/19) * 19000.
Calculating Jalal's Share
Now, we calculate Jalal's share explicitly:
- Jalal's share = (12 * 19000) / 19
- Jalal's share = 228000 / 19
- Jalal's share = 12000.
Thus, the share for Jalal is Rs. 12,000.
Conclusion
The correct answer is option 'B' - Rs. 12,000.

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