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.Aarav puts ₹7000 into a business for 10 months and Tara puts ₹18000 for 5 months. The profit is ₹16000. What is Aarav’s share (in ₹)?
- 2.Vivaan puts ₹3000 into a business for 5 months and Saanvi puts ₹7000 for 11 months. The profit is ₹19320. What is Vivaan’s share (in ₹)?
- 3.Tara puts ₹4000 into a business for 10 months and Rohan puts ₹12000 for 5 months. The profit is ₹2900. What is Tara’s share (in ₹)?
- 4.Ishaan and Priya start a business with ₹11000 and ₹3000. They earn a profit of ₹26600. What is Priya’s share (in ₹)?
- 5.Meera and Arjun start a business with ₹5000 and ₹4000. They earn a profit of ₹4500. What is Arjun’s share (in ₹)?
- 6.Zoya starts a business with ₹18000. After 3 months, Nisha joins with ₹2000. At the end of the year the profit is ₹5200. What is Zoya’s share (in ₹)?
- 7.Karan and Tara start a business with ₹4000 and ₹2000. They earn a profit of ₹5100. What is Tara’s share (in ₹)?
- 8.Ananya and Manav start a business with ₹12000 and ₹9000. They earn a profit of ₹10500. What is Manav’s share (in ₹)?
- 9.Farhan starts a business with ₹7000. After 2 months, Isha joins with ₹3000. At the end of the year the profit is ₹17480. What is Farhan’s share (in ₹)?
- 10.Isha puts ₹4000 into a business for 8 months and Kavya puts ₹6000 for 8 months. The profit is ₹3300. What is Isha’s share (in ₹)?
- 11.Priya starts a business with ₹7000. After 2 months, Manav joins with ₹14000. At the end of the year the profit is ₹7600. What is Priya’s share (in ₹)?
- 12.Priya starts a business with ₹14000. After 5 months, Zoya joins with ₹15000. At the end of the year the profit is ₹9360. What is Priya’s share (in ₹)?
- 13.Aditya and Aarav start a business with ₹10000 and ₹2000. They earn a profit of ₹6000. What is Aarav’s share (in ₹)?
- 14.Farhan and Saanvi start a business with ₹19000 and ₹7000. They earn a profit of ₹26000. What is Saanvi’s share (in ₹)?
- 15.Aarav starts a business with ₹9000. After 5 months, Priya joins with ₹15000. At the end of the year the profit is ₹27690. What is Aarav’s share (in ₹)?
- 16.Rohan puts ₹18000 into a business for 7 months and Ishaan puts ₹9000 for 3 months. The profit is ₹7310. What is Rohan’s share (in ₹)?
- 17.Sneha starts a business with ₹3000. After 4 months, Aditya joins with ₹18000. At the end of the year the profit is ₹350. What is Sneha’s share (in ₹)?
- 18.Pooja, Tara and Arjun invest ₹17000, ₹9000 and ₹12000 in a shop. The profit is ₹11400. What is Arjun’s share (in ₹)?
- 19.Rohan starts a business with ₹13000. After 6 months, Manav joins with ₹6000. At the end of the year the profit is ₹11040. What is Rohan’s share (in ₹)?
- 20.Tara and Aditya start a business with ₹9000 and ₹15000. They earn a profit of ₹12800. What is Aditya’s share (in ₹)?
- 21.Aarav and Rohan start a business with ₹20000 and ₹8000. They earn a profit of ₹8400. What is Rohan’s share (in ₹)?
- 22.Ananya, Sneha and Vivaan invest ₹10000, ₹2000 and ₹4000 in a shop. The profit is ₹6400. What is Vivaan’s share (in ₹)?
- 23.Aarav, Rohan and Rahul invest ₹17000, ₹12000 and ₹5000 in a shop. The profit is ₹23800. What is Rahul’s share (in ₹)?
- 24.Diya puts ₹18000 into a business for 4 months and Aditya puts ₹6000 for 6 months. The profit is ₹1470. What is Diya’s share (in ₹)?
- 25.Manav and Ananya start a business with ₹18000 and ₹19000. They earn a profit of ₹62900. What is Ananya’s share (in ₹)?
- 26.Ishaan, Rohan and Ananya invest ₹13000, ₹4000 and ₹3000 in a shop. The profit is ₹12000. What is Ananya’s share (in ₹)?
- 27.Manav, Meera and Isha invest ₹3000, ₹9000 and ₹4000 in a shop. The profit is ₹6400. What is Isha’s share (in ₹)?
- 28.Rohan and Farhan start a business with ₹7000 and ₹8000. They earn a profit of ₹12000. What is Farhan’s share (in ₹)?
- 29.Rohan starts a business with ₹20000. After 4 months, Ananya joins with ₹14000. At the end of the year the profit is ₹19580. What is Rohan’s share (in ₹)?
- 30.Saanvi, Dev and Nisha invest ₹11000, ₹20000 and ₹7000 in a shop. The profit is ₹15200. What is Nisha’s share (in ₹)?
- 31.Nisha, Ananya and Rahul invest ₹19000, ₹16000 and ₹11000 in a shop. The profit is ₹18400. What is Rahul’s share (in ₹)?
- 32.Farhan, Ishaan and Karan invest ₹8000, ₹12000 and ₹16000 in a shop. The profit is ₹900. What is Karan’s share (in ₹)?
- 33.Farhan and Aarav start a business with ₹20000 and ₹18000. They earn a profit of ₹17100. What is Aarav’s share (in ₹)?
- 34.Arjun, Tara and Aditya invest ₹19000, ₹7000 and ₹11000 in a shop. The profit is ₹22200. What is Aditya’s share (in ₹)?
- 35.Rohan puts ₹3000 into a business for 4 months and Meera puts ₹14000 for 7 months. The profit is ₹47850. What is Rohan’s share (in ₹)?
- 36.Nisha and Tara start a business with ₹12000 and ₹15000. They earn a profit of ₹8100. What is Tara’s share (in ₹)?
- 37.Ishaan starts a business with ₹20000. After 4 months, Rahul joins with ₹6000. At the end of the year the profit is ₹1440. What is Ishaan’s share (in ₹)?
- 38.Vivaan puts ₹20000 into a business for 9 months and Aarav puts ₹14000 for 3 months. The profit is ₹1850. What is Vivaan’s share (in ₹)?
- 39.Ishaan, Vivaan and Sneha invest ₹13000, ₹11000 and ₹5000 in a shop. The profit is ₹2900. What is Sneha’s share (in ₹)?
- 40.Aarav puts ₹4000 into a business for 12 months and Nisha puts ₹18000 for 11 months. The profit is ₹3280. What is Aarav’s share (in ₹)?
Answer key
- 7000
- 3150
- 1160
- 5700
- 2000
- 4800
- 1700
- 4500
- 12880
- 1320
- 2850
- 5760
- 1000
- 7000
- 14040
- 6020
- 70
- 3600
- 8970
- 8000
- 2400
- 1600
- 3500
- 980
- 32300
- 1800
- 1600
- 6400
- 13350
- 2800
- 4400
- 400
- 8100
- 6600
- 5220
- 4500
- 1200
- 1500
- 500
- 640
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