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.Kavya starts a business with ₹8000. After 2 months, Saanvi joins with ₹12000. At the end of the year the profit is ₹4230. What is Kavya’s share (in ₹)?
- 2.Rohan puts ₹3000 into a business for 10 months and Aarav puts ₹9000 for 8 months. The profit is ₹5950. What is Rohan’s share (in ₹)?
- 3.Farhan, Pooja and Aditya invest ₹5000, ₹12000 and ₹3000 in a shop. The profit is ₹10000. What is Aditya’s share (in ₹)?
- 4.Aditya puts ₹20000 into a business for 8 months and Kabir puts ₹17000 for 4 months. The profit is ₹14820. What is Aditya’s share (in ₹)?
- 5.Rahul starts a business with ₹12000. After 3 months, Rohan joins with ₹7000. At the end of the year the profit is ₹8050. What is Rahul’s share (in ₹)?
- 6.Karan puts ₹5000 into a business for 5 months and Arjun puts ₹17000 for 9 months. The profit is ₹32040. What is Karan’s share (in ₹)?
- 7.Zoya starts a business with ₹10000. After 4 months, Meera joins with ₹2000. At the end of the year the profit is ₹4080. What is Zoya’s share (in ₹)?
- 8.Pooja, Kabir and Rohan invest ₹15000, ₹12000 and ₹18000 in a shop. The profit is ₹12000. What is Rohan’s share (in ₹)?
- 9.Rahul and Zoya start a business with ₹9000 and ₹6000. They earn a profit of ₹5500. What is Zoya’s share (in ₹)?
- 10.Aditya, Sneha and Priya invest ₹20000, ₹3000 and ₹3000 in a shop. The profit is ₹13000. What is Priya’s share (in ₹)?
- 11.Manav starts a business with ₹19000. After 7 months, Isha joins with ₹9000. At the end of the year the profit is ₹90090. What is Manav’s share (in ₹)?
- 12.Dev, Kavya and Rohan invest ₹9000, ₹20000 and ₹6000 in a shop. The profit is ₹10500. What is Rohan’s share (in ₹)?
- 13.Aditya starts a business with ₹17000. After 7 months, Tara joins with ₹5000. At the end of the year the profit is ₹64120. What is Aditya’s share (in ₹)?
- 14.Karan and Isha start a business with ₹17000 and ₹20000. They earn a profit of ₹7400. What is Isha’s share (in ₹)?
- 15.Pooja, Karan and Kavya invest ₹10000, ₹4000 and ₹2000 in a shop. The profit is ₹800. What is Kavya’s share (in ₹)?
- 16.Farhan puts ₹4000 into a business for 11 months and Karan puts ₹5000 for 5 months. The profit is ₹33810. What is Farhan’s share (in ₹)?
- 17.Priya, Nisha and Meera invest ₹9000, ₹11000 and ₹13000 in a shop. The profit is ₹19800. What is Meera’s share (in ₹)?
- 18.Saanvi puts ₹11000 into a business for 4 months and Dev puts ₹20000 for 5 months. The profit is ₹22680. What is Saanvi’s share (in ₹)?
- 19.Aarav and Kabir start a business with ₹4000 and ₹19000. They earn a profit of ₹9200. What is Kabir’s share (in ₹)?
- 20.Kavya starts a business with ₹13000. After 8 months, Karan joins with ₹16000. At the end of the year the profit is ₹54450. What is Kavya’s share (in ₹)?
- 21.Sneha starts a business with ₹18000. After 7 months, Aditya joins with ₹20000. At the end of the year the profit is ₹25280. What is Sneha’s share (in ₹)?
- 22.Sneha puts ₹20000 into a business for 8 months and Meera puts ₹7000 for 4 months. The profit is ₹15040. What is Sneha’s share (in ₹)?
- 23.Rahul and Ananya start a business with ₹6000 and ₹7000. They earn a profit of ₹7800. What is Ananya’s share (in ₹)?
- 24.Farhan starts a business with ₹8000. After 6 months, Ishaan joins with ₹12000. At the end of the year the profit is ₹1540. What is Farhan’s share (in ₹)?
- 25.Rohan, Aarav and Arjun invest ₹15000, ₹13000 and ₹20000 in a shop. The profit is ₹14400. What is Arjun’s share (in ₹)?
- 26.Priya, Aarav and Isha invest ₹15000, ₹16000 and ₹9000 in a shop. The profit is ₹28000. What is Isha’s share (in ₹)?
- 27.Karan starts a business with ₹14000. After 8 months, Kabir joins with ₹10000. At the end of the year the profit is ₹8320. What is Karan’s share (in ₹)?
- 28.Ishaan and Nisha start a business with ₹10000 and ₹11000. They earn a profit of ₹39900. What is Nisha’s share (in ₹)?
- 29.Zoya puts ₹15000 into a business for 9 months and Ananya puts ₹4000 for 11 months. The profit is ₹32220. What is Zoya’s share (in ₹)?
- 30.Diya puts ₹18000 into a business for 11 months and Priya puts ₹13000 for 8 months. The profit is ₹34730. What is Diya’s share (in ₹)?
- 31.Meera starts a business with ₹17000. After 6 months, Saanvi joins with ₹12000. At the end of the year the profit is ₹8740. What is Meera’s share (in ₹)?
- 32.Pooja and Farhan start a business with ₹2000 and ₹13000. They earn a profit of ₹3000. What is Farhan’s share (in ₹)?
- 33.Karan and Zoya start a business with ₹18000 and ₹16000. They earn a profit of ₹20400. What is Zoya’s share (in ₹)?
- 34.Isha starts a business with ₹8000. After 8 months, Diya joins with ₹18000. At the end of the year the profit is ₹4620. What is Isha’s share (in ₹)?
- 35.Meera starts a business with ₹9000. After 4 months, Karan joins with ₹16000. At the end of the year the profit is ₹6490. What is Meera’s share (in ₹)?
- 36.Farhan starts a business with ₹13000. After 8 months, Diya joins with ₹5000. At the end of the year the profit is ₹2640. What is Farhan’s share (in ₹)?
- 37.Pooja, Manav and Diya invest ₹13000, ₹18000 and ₹6000 in a shop. The profit is ₹33300. What is Diya’s share (in ₹)?
- 38.Ananya starts a business with ₹5000. After 2 months, Nisha joins with ₹9000. At the end of the year the profit is ₹1650. What is Ananya’s share (in ₹)?
- 39.Nisha puts ₹16000 into a business for 3 months and Priya puts ₹17000 for 5 months. The profit is ₹127680. What is Nisha’s share (in ₹)?
- 40.Manav and Rohan start a business with ₹4000 and ₹5000. They earn a profit of ₹17100. What is Rohan’s share (in ₹)?
Answer key
- 1880
- 1750
- 1500
- 10400
- 5600
- 4500
- 3600
- 4800
- 2200
- 1500
- 75240
- 1800
- 57120
- 4000
- 100
- 21560
- 7800
- 6930
- 7600
- 38610
- 17280
- 12800
- 4200
- 880
- 6000
- 6300
- 6720
- 20900
- 24300
- 22770
- 6460
- 2600
- 9600
- 2640
- 2970
- 2340
- 5400
- 660
- 46080
- 9500
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