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.Tara starts a business with ₹20000. After 3 months, Aarav joins with ₹14000. At the end of the year the profit is ₹34160. What is Tara’s share (in ₹)?
- 2.Ishaan and Priya start a business with ₹19000 and ₹5000. They earn a profit of ₹2400. What is Priya’s share (in ₹)?
- 3.Karan puts ₹7000 into a business for 10 months and Pooja puts ₹19000 for 3 months. The profit is ₹50800. What is Karan’s share (in ₹)?
- 4.Karan starts a business with ₹6000. After 2 months, Ananya joins with ₹18000. At the end of the year the profit is ₹2800. What is Karan’s share (in ₹)?
- 5.Rahul and Saanvi start a business with ₹17000 and ₹15000. They earn a profit of ₹16000. What is Saanvi’s share (in ₹)?
- 6.Ananya, Manav and Kavya invest ₹7000, ₹15000 and ₹13000 in a shop. The profit is ₹14000. What is Kavya’s share (in ₹)?
- 7.Rohan puts ₹16000 into a business for 7 months and Saanvi puts ₹10000 for 4 months. The profit is ₹4370. What is Rohan’s share (in ₹)?
- 8.Karan starts a business with ₹9000. After 7 months, Sneha joins with ₹18000. At the end of the year the profit is ₹4510. What is Karan’s share (in ₹)?
- 9.Aditya starts a business with ₹10000. After 5 months, Aarav joins with ₹7000. At the end of the year the profit is ₹82810. What is Aditya’s share (in ₹)?
- 10.Priya puts ₹19000 into a business for 3 months and Pooja puts ₹11000 for 6 months. The profit is ₹9020. What is Priya’s share (in ₹)?
- 11.Rahul and Zoya start a business with ₹9000 and ₹17000. They earn a profit of ₹52000. What is Zoya’s share (in ₹)?
- 12.Zoya puts ₹10000 into a business for 9 months and Karan puts ₹4000 for 6 months. The profit is ₹8740. What is Zoya’s share (in ₹)?
- 13.Manav puts ₹7000 into a business for 10 months and Rohan puts ₹6000 for 10 months. The profit is ₹9230. What is Manav’s share (in ₹)?
- 14.Saanvi, Aditya and Zoya invest ₹13000, ₹7000 and ₹19000 in a shop. The profit is ₹11700. What is Zoya’s share (in ₹)?
- 15.Zoya puts ₹10000 into a business for 3 months and Aditya puts ₹8000 for 4 months. The profit is ₹21080. What is Zoya’s share (in ₹)?
- 16.Nisha, Ishaan and Aditya invest ₹10000, ₹5000 and ₹14000 in a shop. The profit is ₹29000. What is Aditya’s share (in ₹)?
- 17.Aarav and Rohan start a business with ₹11000 and ₹10000. They earn a profit of ₹21000. What is Rohan’s share (in ₹)?
- 18.Sneha puts ₹9000 into a business for 4 months and Ananya puts ₹4000 for 3 months. The profit is ₹880. What is Sneha’s share (in ₹)?
- 19.Zoya puts ₹9000 into a business for 5 months and Tara puts ₹5000 for 7 months. The profit is ₹3040. What is Zoya’s share (in ₹)?
- 20.Isha and Karan start a business with ₹14000 and ₹15000. They earn a profit of ₹23200. What is Karan’s share (in ₹)?
- 21.Arjun starts a business with ₹10000. After 9 months, Dev joins with ₹19000. At the end of the year the profit is ₹30090. What is Arjun’s share (in ₹)?
- 22.Arjun, Diya and Aditya invest ₹11000, ₹10000 and ₹6000 in a shop. The profit is ₹13500. What is Aditya’s share (in ₹)?
- 23.Dev puts ₹18000 into a business for 6 months and Ishaan puts ₹17000 for 4 months. The profit is ₹8800. What is Dev’s share (in ₹)?
- 24.Pooja, Ishaan and Aarav invest ₹19000, ₹18000 and ₹6000 in a shop. The profit is ₹21500. What is Aarav’s share (in ₹)?
- 25.Ananya puts ₹15000 into a business for 5 months and Nisha puts ₹8000 for 5 months. The profit is ₹11270. What is Ananya’s share (in ₹)?
- 26.Kabir puts ₹18000 into a business for 11 months and Saanvi puts ₹8000 for 3 months. The profit is ₹24790. What is Kabir’s share (in ₹)?
- 27.Manav starts a business with ₹3000. After 8 months, Vivaan joins with ₹12000. At the end of the year the profit is ₹700. What is Manav’s share (in ₹)?
- 28.Rohan puts ₹12000 into a business for 3 months and Meera puts ₹4000 for 4 months. The profit is ₹3900. What is Rohan’s share (in ₹)?
- 29.Isha starts a business with ₹17000. After 7 months, Nisha joins with ₹13000. At the end of the year the profit is ₹67250. What is Isha’s share (in ₹)?
- 30.Diya starts a business with ₹19000. After 2 months, Rahul joins with ₹18000. At the end of the year the profit is ₹15640. What is Diya’s share (in ₹)?
- 31.Vivaan and Ananya start a business with ₹3000 and ₹2000. They earn a profit of ₹2000. What is Ananya’s share (in ₹)?
- 32.Arjun puts ₹14000 into a business for 12 months and Pooja puts ₹5000 for 4 months. The profit is ₹35250. What is Arjun’s share (in ₹)?
- 33.Aarav starts a business with ₹9000. After 8 months, Ananya joins with ₹20000. At the end of the year the profit is ₹14100. What is Aarav’s share (in ₹)?
- 34.Diya and Ananya start a business with ₹14000 and ₹11000. They earn a profit of ₹40000. What is Ananya’s share (in ₹)?
- 35.Karan starts a business with ₹20000. After 7 months, Tara joins with ₹4000. At the end of the year the profit is ₹4030. What is Karan’s share (in ₹)?
- 36.Karan and Saanvi start a business with ₹16000 and ₹9000. They earn a profit of ₹12500. What is Saanvi’s share (in ₹)?
- 37.Farhan starts a business with ₹14000. After 6 months, Diya joins with ₹7000. At the end of the year the profit is ₹3600. What is Farhan’s share (in ₹)?
- 38.Priya, Ishaan and Arjun invest ₹3000, ₹5000 and ₹12000 in a shop. The profit is ₹2000. What is Arjun’s share (in ₹)?
- 39.Zoya, Ishaan and Kabir invest ₹17000, ₹13000 and ₹7000 in a shop. The profit is ₹11100. What is Kabir’s share (in ₹)?
- 40.Diya puts ₹10000 into a business for 9 months and Karan puts ₹6000 for 11 months. The profit is ₹8060. What is Diya’s share (in ₹)?
Answer key
- 22400
- 500
- 28000
- 800
- 7500
- 5200
- 3220
- 2460
- 58800
- 4180
- 34000
- 6900
- 4970
- 5700
- 10200
- 14000
- 10000
- 660
- 1710
- 12000
- 20400
- 3000
- 5400
- 3000
- 7350
- 22110
- 300
- 2700
- 51000
- 8740
- 800
- 31500
- 8100
- 17600
- 3720
- 4500
- 2880
- 1200
- 2100
- 4650
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