Caselets

Q: What is the ratio in which the remaining profit is distributed among P, Q, and R?

Correct Answer: Option B (8:15:9). Effective investment of P = 40,000 * 8 = 3,20,000. Q = 50,000 * 12 = 6,00,000. R = 60,000 * 6 = 3,60,000. Ratio P:Q:R = 32 : 60 : 36 = 8 : 15 : 9.

Q: What is the total share of profit received by P (including his salary)?

Correct Answer: Option C (Rs. 52,000). Total Profit = 160,000. P's salary = 10% of 160,000 = 16,000. Remaining Profit = 160,000 - 16,000 = 144,000. Ratio sum = 8 + 15 + 9 = 32. P's share in remaining profit = (8/32) * 144,000 = 36,000. Total amount received by P = 16,000 + 36,000 = Rs. 52,000.

Q: What is the absolute difference between the profit shares received by Q and R?

Correct Answer: Option B (Rs. 27,000). Remaining profit = 144,000. Q's share = (15/32) * 144,000 = 67,500. R's share = (9/32) * 144,000 = 40,500. Difference = 67,500 - 40,500 = Rs. 27,000. Alternatively: Difference in ratio = 15 - 9 = 6. Value = (6/32) * 144000 = Rs. 27,000.

Q: If Q had invested his money for only 8 months instead of 12 months, what would have been R's profit share (assuming the total profit remains the same)?

Correct Answer: Option C (Rs. 48,000). New effective investment of Q = 50,000 * 8 = 4,00,000. New Ratio P:Q:R = 320,000 : 400,000 : 360,000 = 32 : 40 : 36 = 8 : 10 : 9. Total ratio = 27. Remaining profit = 144,000. R's share = (9/27) * 144,000 = (1/3) * 144,000 = Rs. 48,000.

Q: What percentage of the total original profit (Rs. 160,000) does Q receive?

Correct Answer: Option B (42.18%). Q's profit share = Rs. 67,500. Total profit = 160,000. Percentage = (67,500 / 160,000) * 100 = 675 / 16 = 42.1875%.

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Caselet Context & PassageSet 3: Partnership

P, Q, and R start a joint business venture. P invests Rs. 40,000 for 8 months. Q invests Rs. 50,000 for 12 months. R invests Rs. 60,000 for 6 months. P manages the business as an active partner and receives 10% of the total profit as his salary. The remaining profit is divided among P, Q, and R in the ratio of their effective investments. The total profit earned at the end of the year is Rs. 160,000.

Q21

What is the ratio in which the remaining profit is distributed among P, Q, and R?

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Q22

What is the total share of profit received by P (including his salary)?

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Q23

What is the absolute difference between the profit shares received by Q and R?

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Q24

If Q had invested his money for only 8 months instead of 12 months, what would have been R's profit share (assuming the total profit remains the same)?

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Q25

What percentage of the total original profit (Rs. 160,000) does Q receive?

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Caselets

What is the ratio in which the remaining profit is distributed among P, Q, and R?

Community Discussion & Shortcut Formulas

What is the total share of profit received by P (including his salary)?

Community Discussion & Shortcut Formulas

What is the absolute difference between the profit shares received by Q and R?

Community Discussion & Shortcut Formulas

If Q had invested his money for only 8 months instead of 12 months, what would have been R's profit share (assuming the total profit remains the same)?

Community Discussion & Shortcut Formulas

What percentage of the total original profit (Rs. 160,000) does Q receive?

Community Discussion & Shortcut Formulas