Partnership Problems Worksheet
The method (Money × months): Same time: ratio of the money put in. Different times: ratio of money × months (someone who joins after k months is in for 12 − k months). Simplify the ratio, find one part = profit ÷ total parts, then multiply.
NameDateTime takenScore ___ / 40
- 1.Aditya puts ₹18000 into a business for 5 months and Sneha puts ₹5000 for 9 months. The profit is ₹750. What is Aditya’s share (in ₹)?
- 2.Aarav puts ₹3000 into a business for 3 months and Isha puts ₹20000 for 5 months. The profit is ₹41420. What is Aarav’s share (in ₹)?
- 3.Priya starts a business with ₹20000. After 5 months, Manav joins with ₹11000. At the end of the year the profit is ₹237750. What is Priya’s share (in ₹)?
- 4.Aarav and Kavya start a business with ₹4000 and ₹12000. They earn a profit of ₹2000. What is Kavya’s share (in ₹)?
- 5.Farhan puts ₹10000 into a business for 3 months and Isha puts ₹4000 for 10 months. The profit is ₹1540. What is Farhan’s share (in ₹)?
- 6.Aarav, Zoya and Nisha invest ₹9000, ₹7000 and ₹7000 in a shop. The profit is ₹16100. What is Nisha’s share (in ₹)?
- 7.Vivaan starts a business with ₹12000. After 5 months, Kabir joins with ₹14000. At the end of the year the profit is ₹53240. What is Vivaan’s share (in ₹)?
- 8.Pooja, Aarav and Rahul invest ₹5000, ₹17000 and ₹12000 in a shop. The profit is ₹30600. What is Rahul’s share (in ₹)?
- 9.Manav and Aarav start a business with ₹4000 and ₹6000. They earn a profit of ₹6000. What is Aarav’s share (in ₹)?
- 10.Ishaan and Kabir start a business with ₹12000 and ₹20000. They earn a profit of ₹13600. What is Kabir’s share (in ₹)?
- 11.Rahul puts ₹8000 into a business for 5 months and Sneha puts ₹6000 for 6 months. The profit is ₹7790. What is Rahul’s share (in ₹)?
- 12.Meera starts a business with ₹14000. After 3 months, Ananya joins with ₹7000. At the end of the year the profit is ₹1870. What is Meera’s share (in ₹)?
- 13.Isha puts ₹19000 into a business for 12 months and Pooja puts ₹15000 for 11 months. The profit is ₹68120. What is Isha’s share (in ₹)?
- 14.Arjun puts ₹16000 into a business for 9 months and Rahul puts ₹18000 for 11 months. The profit is ₹2090. What is Arjun’s share (in ₹)?
- 15.Rahul and Pooja start a business with ₹10000 and ₹15000. They earn a profit of ₹3000. What is Pooja’s share (in ₹)?
- 16.Zoya starts a business with ₹9000. After 8 months, Rohan joins with ₹20000. At the end of the year the profit is ₹26790. What is Zoya’s share (in ₹)?
- 17.Saanvi, Arjun and Priya invest ₹4000, ₹18000 and ₹13000 in a shop. The profit is ₹17500. What is Priya’s share (in ₹)?
- 18.Kavya puts ₹7000 into a business for 8 months and Kabir puts ₹18000 for 10 months. The profit is ₹15340. What is Kavya’s share (in ₹)?
- 19.Rahul puts ₹15000 into a business for 7 months and Pooja puts ₹12000 for 3 months. The profit is ₹27260. What is Rahul’s share (in ₹)?
- 20.Nisha starts a business with ₹6000. After 4 months, Karan joins with ₹5000. At the end of the year the profit is ₹7700. What is Nisha’s share (in ₹)?
- 21.Ishaan and Rahul start a business with ₹19000 and ₹9000. They earn a profit of ₹36400. What is Rahul’s share (in ₹)?
- 22.Diya starts a business with ₹14000. After 2 months, Rahul joins with ₹2000. At the end of the year the profit is ₹17860. What is Diya’s share (in ₹)?
- 23.Nisha starts a business with ₹11000. After 6 months, Rahul joins with ₹10000. At the end of the year the profit is ₹4000. What is Nisha’s share (in ₹)?
- 24.Ishaan puts ₹3000 into a business for 5 months and Aditya puts ₹10000 for 9 months. The profit is ₹2660. What is Ishaan’s share (in ₹)?
- 25.Arjun, Rahul and Ananya invest ₹19000, ₹13000 and ₹2000 in a shop. The profit is ₹34000. What is Ananya’s share (in ₹)?
- 26.Kabir and Aditya start a business with ₹6000 and ₹13000. They earn a profit of ₹30400. What is Aditya’s share (in ₹)?
- 27.Nisha puts ₹16000 into a business for 8 months and Ishaan puts ₹18000 for 3 months. The profit is ₹61880. What is Nisha’s share (in ₹)?
- 28.Aarav puts ₹12000 into a business for 10 months and Ananya puts ₹15000 for 8 months. The profit is ₹880. What is Aarav’s share (in ₹)?
- 29.Saanvi starts a business with ₹8000. After 6 months, Rahul joins with ₹14000. At the end of the year the profit is ₹8250. What is Saanvi’s share (in ₹)?
- 30.Farhan starts a business with ₹14000. After 9 months, Rohan joins with ₹6000. At the end of the year the profit is ₹27900. What is Farhan’s share (in ₹)?
- 31.Aarav puts ₹2000 into a business for 6 months and Pooja puts ₹8000 for 3 months. The profit is ₹1830. What is Aarav’s share (in ₹)?
- 32.Karan, Dev and Farhan invest ₹12000, ₹9000 and ₹15000 in a shop. The profit is ₹12000. What is Farhan’s share (in ₹)?
- 33.Farhan and Dev start a business with ₹9000 and ₹18000. They earn a profit of ₹600. What is Dev’s share (in ₹)?
- 34.Saanvi, Manav and Aditya invest ₹6000, ₹2000 and ₹12000 in a shop. The profit is ₹5000. What is Aditya’s share (in ₹)?
- 35.Kabir and Nisha start a business with ₹8000 and ₹15000. They earn a profit of ₹4600. What is Nisha’s share (in ₹)?
- 36.Zoya puts ₹2000 into a business for 3 months and Kabir puts ₹19000 for 8 months. The profit is ₹42660. What is Zoya’s share (in ₹)?
- 37.Ananya puts ₹6000 into a business for 11 months and Dev puts ₹5000 for 8 months. The profit is ₹51410. What is Ananya’s share (in ₹)?
- 38.Sneha, Aarav and Isha invest ₹18000, ₹7000 and ₹7000 in a shop. The profit is ₹28800. What is Isha’s share (in ₹)?
- 39.Ishaan, Zoya and Meera invest ₹19000, ₹3000 and ₹11000 in a shop. The profit is ₹29700. What is Meera’s share (in ₹)?
- 40.Pooja, Karan and Aarav invest ₹4000, ₹6000 and ₹17000 in a shop. The profit is ₹10800. What is Aarav’s share (in ₹)?
Answer key
- 500
- 3420
- 180000
- 1500
- 660
- 4900
- 31680
- 10800
- 3600
- 8500
- 4100
- 1360
- 39520
- 880
- 1800
- 15390
- 6500
- 3640
- 20300
- 4950
- 11700
- 15960
- 2750
- 380
- 2000
- 20800
- 43520
- 440
- 4400
- 25200
- 610
- 5000
- 400
- 3000
- 3000
- 1620
- 32010
- 6300
- 9900
- 6800
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