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Partnership — Mathematics Questions & Practice

Practise 22 Partnership questions from Mathematics for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on Partnership — with answers

Try each question first, then open the answer. Explanations are included.

1. A invests Rs 4000 for 12 months and B invests Rs 6000 for 6 months in a business. If the total profit is Rs 7000, what is A's share?

ARs 3500
BRs 3800
CRs 4000
DRs 4200

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Answer: C

Ratio of investment×time: A=4000×12=48000, B=6000×6=36000, ratio=4:3. A's share=7000×4/7=4000.

2. A, B and C invest in a business in the ratio 2:3:5. If the total profit is Rs 5000, what is C's share?

ARs 2000
BRs 2200
CRs 2400
DRs 2500

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Answer: D

Total parts=10. C's share=5000×5/10=2500.

3. A and B start a business with capitals of Rs 5000 and Rs 8000 respectively. What is the ratio of their profit shares if invested for the same duration?

A5:8
B8:5
C4:5
D5:4

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Answer: A

Since duration is the same, profit ratio equals capital ratio=5000:8000=5:8.

4. A starts a business with Rs 10000 investing for the full year. B joins with Rs 8000, investing for 9 months. If the total profit is Rs 8000, what is A's share?

ARs 4500
BRs 4800
CRs 5000
DRs 5200

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Answer: C

A's investment×time=10000×12=120000. B's=8000×9=72000. Ratio=120000:72000=5:3. A's share=8000×5/8=5000.

5. A alone can do a piece of work in 20 days. He invests Rs 5000, while B invests Rs 3000 in a partnership doing the same job. If B alone can finish the job in 30 days and the total profit is Rs 8000, what is A's share based on investment ratio alone?

ARs 4500
BRs 4800
CRs 5000
DRs 5200

Show answer

Answer: C

Investment ratio A:B=5000:3000=5:3. A's share=8000×5/8=5000.

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Partnership — Mathematics Questions & Practice

Practice questions on Partnership — with answers

1. A invests Rs 4000 for 12 months and B invests Rs 6000 for 6 months in a business. If the total profit is Rs 7000, what is A's share?

2. A, B and C invest in a business in the ratio 2:3:5. If the total profit is Rs 5000, what is C's share?

3. A and B start a business with capitals of Rs 5000 and Rs 8000 respectively. What is the ratio of their profit shares if invested for the same duration?

4. A starts a business with Rs 10000 investing for the full year. B joins with Rs 8000, investing for 9 months. If the total profit is Rs 8000, what is A's share?

5. A alone can do a piece of work in 20 days. He invests Rs 5000, while B invests Rs 3000 in a partnership doing the same job. If B alone can finish the job in 30 days and the total profit is Rs 8000, what is A's share based on investment ratio alone?

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