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M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?
- a)Rs. 1900
- b)Rs. 2100
- c)Rs. 3200
- d)Data are incomplete
Correct answer is option 'A'. Can you explain this answer?
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M, P and Q together started a business. M invested Rs. 6500 for 6 mont...
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M, P and Q together started a business. M invested Rs. 6500 for 6 mont...
Solution:
Given:
M invested Rs. 6500 for 6 months
P invested Rs. 8400 for 5 months
Q invested Rs. 10000 for 3 months
Total gain = Rs. 7400
Let's calculate the profit of each member separately.
Profit of M:
M invested Rs. 6500 for 6 months, so his share of profit = (6500 * 6) / (6500 + 8400 + 10000) * 7400 = Rs. 1800
Profit of P:
P invested Rs. 8400 for 5 months, so his share of profit = (8400 * 5) / (6500 + 8400 + 10000) * 7400 = Rs. 2100
Profit of Q:
Q invested Rs. 10000 for 3 months, so his share of profit = (10000 * 3) / (6500 + 8400 + 10000) * 7400 = Rs. 3500
But M is a working member, so he gets an additional 5% of the total profit.
Additional profit of M = 5% of total profit = 0.05 * 7400 = Rs. 370
Final share of M = Profit of M + Additional profit of M = 1800 + 370 = Rs. 2170
Therefore, the share of Q = Profit of Q - Final share of M = 3500 - 2170 = Rs. 1330
Hence, Q's share is Rs. 1330.
Therefore, the correct option is A) Rs. 1900.
Given:
M invested Rs. 6500 for 6 months
P invested Rs. 8400 for 5 months
Q invested Rs. 10000 for 3 months
Total gain = Rs. 7400
Let's calculate the profit of each member separately.
Profit of M:
M invested Rs. 6500 for 6 months, so his share of profit = (6500 * 6) / (6500 + 8400 + 10000) * 7400 = Rs. 1800
Profit of P:
P invested Rs. 8400 for 5 months, so his share of profit = (8400 * 5) / (6500 + 8400 + 10000) * 7400 = Rs. 2100
Profit of Q:
Q invested Rs. 10000 for 3 months, so his share of profit = (10000 * 3) / (6500 + 8400 + 10000) * 7400 = Rs. 3500
But M is a working member, so he gets an additional 5% of the total profit.
Additional profit of M = 5% of total profit = 0.05 * 7400 = Rs. 370
Final share of M = Profit of M + Additional profit of M = 1800 + 370 = Rs. 2170
Therefore, the share of Q = Profit of Q - Final share of M = 3500 - 2170 = Rs. 1330
Hence, Q's share is Rs. 1330.
Therefore, the correct option is A) Rs. 1900.
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M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer?
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M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer?.
M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for M, P and Q together started a business. M invested Rs. 6500 for 6 months, P invested Rs. 8400 for 5 months and Q invested Rs. 10000 for 3 months. M is working member for which he gets 5% of total profit extra. If the total gain is Rs. 7400, then Q's share is ?a)Rs. 1900b)Rs. 2100c)Rs. 3200d)Data are incompleteCorrect answer is option 'A'. Can you explain this answer?.
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