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 starts a business with ₹5000. After 4 months, Rohan joins with ₹8000. At the end of the year the profit is ₹7750. What is Aditya’s share (in ₹)?
- 2.Arjun, Nisha and Tara invest ₹4000, ₹7000 and ₹18000 in a shop. The profit is ₹11600. What is Tara’s share (in ₹)?
- 3.Nisha puts ₹9000 into a business for 5 months and Saanvi puts ₹2000 for 3 months. The profit is ₹16320. What is Nisha’s share (in ₹)?
- 4.Karan, Isha and Pooja invest ₹12000, ₹6000 and ₹20000 in a shop. The profit is ₹7600. What is Pooja’s share (in ₹)?
- 5.Dev and Priya start a business with ₹12000 and ₹7000. They earn a profit of ₹3800. What is Priya’s share (in ₹)?
- 6.Karan and Rahul start a business with ₹3000 and ₹17000. They earn a profit of ₹2000. What is Rahul’s share (in ₹)?
- 7.Zoya puts ₹16000 into a business for 3 months and Aarav puts ₹18000 for 10 months. The profit is ₹1520. What is Zoya’s share (in ₹)?
- 8.Kabir puts ₹19000 into a business for 5 months and Aarav puts ₹16000 for 5 months. The profit is ₹25550. What is Kabir’s share (in ₹)?
- 9.Dev, Zoya and Nisha invest ₹3000, ₹8000 and ₹10000 in a shop. The profit is ₹2100. What is Nisha’s share (in ₹)?
- 10.Dev starts a business with ₹19000. After 6 months, Ananya joins with ₹9000. At the end of the year the profit is ₹5170. What is Dev’s share (in ₹)?
- 11.Pooja, Aarav and Dev invest ₹19000, ₹2000 and ₹3000 in a shop. The profit is ₹19200. What is Dev’s share (in ₹)?
- 12.Priya and Kabir start a business with ₹11000 and ₹2000. They earn a profit of ₹3900. What is Kabir’s share (in ₹)?
- 13.Isha starts a business with ₹18000. After 9 months, Saanvi joins with ₹8000. At the end of the year the profit is ₹3200. What is Isha’s share (in ₹)?
- 14.Rahul and Kavya start a business with ₹8000 and ₹20000. They earn a profit of ₹7700. What is Kavya’s share (in ₹)?
- 15.Zoya and Farhan start a business with ₹11000 and ₹15000. They earn a profit of ₹33800. What is Farhan’s share (in ₹)?
- 16.Aditya and Dev start a business with ₹8000 and ₹5000. They earn a profit of ₹26000. What is Dev’s share (in ₹)?
- 17.Priya starts a business with ₹18000. After 9 months, Kabir joins with ₹17000. At the end of the year the profit is ₹19580. What is Priya’s share (in ₹)?
- 18.Karan, Diya and Saanvi invest ₹3000, ₹15000 and ₹11000 in a shop. The profit is ₹23200. What is Saanvi’s share (in ₹)?
- 19.Rohan, Pooja and Ishaan invest ₹10000, ₹17000 and ₹15000 in a shop. The profit is ₹8400. What is Ishaan’s share (in ₹)?
- 20.Ananya and Ishaan start a business with ₹18000 and ₹13000. They earn a profit of ₹46500. What is Ishaan’s share (in ₹)?
- 21.Aditya starts a business with ₹16000. After 2 months, Nisha joins with ₹20000. At the end of the year the profit is ₹22050. What is Aditya’s share (in ₹)?
- 22.Vivaan starts a business with ₹19000. After 8 months, Rohan joins with ₹20000. At the end of the year the profit is ₹35420. What is Vivaan’s share (in ₹)?
- 23.Aarav starts a business with ₹13000. After 4 months, Kabir joins with ₹10000. At the end of the year the profit is ₹23600. What is Aarav’s share (in ₹)?
- 24.Saanvi starts a business with ₹9000. After 4 months, Ishaan joins with ₹12000. At the end of the year the profit is ₹6460. What is Saanvi’s share (in ₹)?
- 25.Dev puts ₹5000 into a business for 12 months and Meera puts ₹9000 for 8 months. The profit is ₹11000. What is Dev’s share (in ₹)?
- 26.Kavya puts ₹3000 into a business for 5 months and Pooja puts ₹7000 for 12 months. The profit is ₹7260. What is Kavya’s share (in ₹)?
- 27.Kabir starts a business with ₹12000. After 2 months, Priya joins with ₹16000. At the end of the year the profit is ₹5890. What is Kabir’s share (in ₹)?
- 28.Vivaan and Diya start a business with ₹11000 and ₹16000. They earn a profit of ₹10800. What is Diya’s share (in ₹)?
- 29.Kavya, Dev and Meera invest ₹6000, ₹17000 and ₹3000 in a shop. The profit is ₹20800. What is Meera’s share (in ₹)?
- 30.Priya starts a business with ₹20000. After 5 months, Isha joins with ₹10000. At the end of the year the profit is ₹24800. What is Priya’s share (in ₹)?
- 31.Ishaan, Meera and Diya invest ₹18000, ₹3000 and ₹2000 in a shop. The profit is ₹2300. What is Diya’s share (in ₹)?
- 32.Diya, Manav and Vivaan invest ₹18000, ₹3000 and ₹7000 in a shop. The profit is ₹14000. What is Vivaan’s share (in ₹)?
- 33.Ishaan starts a business with ₹3000. After 8 months, Dev joins with ₹12000. At the end of the year the profit is ₹420. What is Ishaan’s share (in ₹)?
- 34.Meera and Rahul start a business with ₹5000 and ₹6000. They earn a profit of ₹6600. What is Rahul’s share (in ₹)?
- 35.Ananya starts a business with ₹13000. After 5 months, Dev joins with ₹10000. At the end of the year the profit is ₹28250. What is Ananya’s share (in ₹)?
- 36.Vivaan and Zoya start a business with ₹17000 and ₹19000. They earn a profit of ₹72000. What is Zoya’s share (in ₹)?
- 37.Ishaan, Zoya and Dev invest ₹19000, ₹8000 and ₹7000 in a shop. The profit is ₹17000. What is Dev’s share (in ₹)?
- 38.Ishaan, Priya and Kabir invest ₹14000, ₹2000 and ₹15000 in a shop. The profit is ₹24800. What is Kabir’s share (in ₹)?
- 39.Diya starts a business with ₹9000. After 9 months, Arjun joins with ₹20000. At the end of the year the profit is ₹4900. What is Diya’s share (in ₹)?
- 40.Kabir and Farhan start a business with ₹16000 and ₹6000. They earn a profit of ₹18700. What is Farhan’s share (in ₹)?
Answer key
- 3750
- 7200
- 14400
- 4000
- 1400
- 1700
- 320
- 13870
- 1000
- 4180
- 2400
- 600
- 2880
- 5500
- 19500
- 10000
- 15840
- 8800
- 3000
- 19500
- 10800
- 26220
- 15600
- 3420
- 5000
- 1100
- 2790
- 6400
- 2400
- 19200
- 200
- 3500
- 180
- 3600
- 19500
- 38000
- 3500
- 12000
- 3150
- 5100
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