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.Rahul starts a business with ₹16000. After 3 months, Vivaan joins with ₹12000. At the end of the year the profit is ₹16250. What is Rahul’s share (in ₹)?
- 2.Diya, Aarav and Meera invest ₹14000, ₹10000 and ₹12000 in a shop. The profit is ₹18000. What is Meera’s share (in ₹)?
- 3.Arjun puts ₹3000 into a business for 8 months and Rohan puts ₹6000 for 12 months. The profit is ₹960. What is Arjun’s share (in ₹)?
- 4.Tara and Zoya start a business with ₹16000 and ₹17000. They earn a profit of ₹59400. What is Zoya’s share (in ₹)?
- 5.Nisha puts ₹18000 into a business for 8 months and Aarav puts ₹19000 for 11 months. The profit is ₹204740. What is Nisha’s share (in ₹)?
- 6.Isha puts ₹4000 into a business for 5 months and Nisha puts ₹16000 for 5 months. The profit is ₹4450. What is Isha’s share (in ₹)?
- 7.Priya puts ₹6000 into a business for 7 months and Sneha puts ₹19000 for 4 months. The profit is ₹37170. What is Priya’s share (in ₹)?
- 8.Rahul and Nisha start a business with ₹13000 and ₹5000. They earn a profit of ₹1800. What is Nisha’s share (in ₹)?
- 9.Karan puts ₹14000 into a business for 9 months and Kavya puts ₹3000 for 10 months. The profit is ₹8580. What is Karan’s share (in ₹)?
- 10.Kavya, Zoya and Ishaan invest ₹6000, ₹13000 and ₹2000 in a shop. The profit is ₹8400. What is Ishaan’s share (in ₹)?
- 11.Kabir and Isha start a business with ₹17000 and ₹8000. They earn a profit of ₹45000. What is Isha’s share (in ₹)?
- 12.Aarav and Diya start a business with ₹11000 and ₹8000. They earn a profit of ₹11400. What is Diya’s share (in ₹)?
- 13.Kavya starts a business with ₹18000. After 7 months, Ishaan joins with ₹11000. At the end of the year the profit is ₹78590. What is Kavya’s share (in ₹)?
- 14.Diya and Isha start a business with ₹2000 and ₹14000. They earn a profit of ₹4000. What is Isha’s share (in ₹)?
- 15.Rahul starts a business with ₹2000. After 3 months, Sneha joins with ₹19000. At the end of the year the profit is ₹21450. What is Rahul’s share (in ₹)?
- 16.Kavya puts ₹16000 into a business for 12 months and Ishaan puts ₹11000 for 11 months. The profit is ₹272310. What is Kavya’s share (in ₹)?
- 17.Diya, Arjun and Isha invest ₹5000, ₹19000 and ₹11000 in a shop. The profit is ₹31500. What is Isha’s share (in ₹)?
- 18.Arjun puts ₹4000 into a business for 4 months and Rohan puts ₹2000 for 7 months. The profit is ₹12900. What is Arjun’s share (in ₹)?
- 19.Arjun, Farhan and Tara invest ₹18000, ₹11000 and ₹7000 in a shop. The profit is ₹28800. What is Tara’s share (in ₹)?
- 20.Nisha, Manav and Rahul invest ₹9000, ₹2000 and ₹5000 in a shop. The profit is ₹3200. What is Rahul’s share (in ₹)?
- 21.Diya, Dev and Aarav invest ₹7000, ₹3000 and ₹10000 in a shop. The profit is ₹4000. What is Aarav’s share (in ₹)?
- 22.Rohan and Arjun start a business with ₹15000 and ₹18000. They earn a profit of ₹14300. What is Arjun’s share (in ₹)?
- 23.Pooja puts ₹8000 into a business for 12 months and Nisha puts ₹11000 for 4 months. The profit is ₹7700. What is Pooja’s share (in ₹)?
- 24.Kabir puts ₹14000 into a business for 11 months and Aditya puts ₹2000 for 6 months. The profit is ₹78850. What is Kabir’s share (in ₹)?
- 25.Diya starts a business with ₹8000. After 6 months, Aarav joins with ₹11000. At the end of the year the profit is ₹2160. What is Diya’s share (in ₹)?
- 26.Arjun, Saanvi and Farhan invest ₹10000, ₹11000 and ₹10000 in a shop. The profit is ₹21700. What is Farhan’s share (in ₹)?
- 27.Ishaan starts a business with ₹3000. After 3 months, Arjun joins with ₹10000. At the end of the year the profit is ₹5530. What is Ishaan’s share (in ₹)?
- 28.Manav puts ₹17000 into a business for 12 months and Ananya puts ₹15000 for 7 months. The profit is ₹101970. What is Manav’s share (in ₹)?
- 29.Aarav and Ishaan start a business with ₹16000 and ₹20000. They earn a profit of ₹4500. What is Ishaan’s share (in ₹)?
- 30.Saanvi, Aditya and Rohan invest ₹8000, ₹6000 and ₹2000 in a shop. The profit is ₹2400. What is Rohan’s share (in ₹)?
- 31.Arjun, Kabir and Saanvi invest ₹18000, ₹20000 and ₹9000 in a shop. The profit is ₹18800. What is Saanvi’s share (in ₹)?
- 32.Aditya puts ₹9000 into a business for 9 months and Nisha puts ₹2000 for 12 months. The profit is ₹28700. What is Aditya’s share (in ₹)?
- 33.Diya starts a business with ₹2000. After 6 months, Karan joins with ₹4000. At the end of the year the profit is ₹1160. What is Diya’s share (in ₹)?
- 34.Nisha, Kabir and Arjun invest ₹19000, ₹18000 and ₹11000 in a shop. The profit is ₹19200. What is Arjun’s share (in ₹)?
- 35.Diya puts ₹8000 into a business for 9 months and Nisha puts ₹11000 for 12 months. The profit is ₹4930. What is Diya’s share (in ₹)?
- 36.Dev, Rahul and Nisha invest ₹10000, ₹4000 and ₹20000 in a shop. The profit is ₹10200. What is Nisha’s share (in ₹)?
- 37.Karan and Saanvi start a business with ₹19000 and ₹3000. They earn a profit of ₹8800. What is Saanvi’s share (in ₹)?
- 38.Pooja, Rahul and Diya invest ₹11000, ₹7000 and ₹3000 in a shop. The profit is ₹2100. What is Diya’s share (in ₹)?
- 39.Rahul, Isha and Kavya invest ₹5000, ₹19000 and ₹17000 in a shop. The profit is ₹36900. What is Kavya’s share (in ₹)?
- 40.Rahul and Ishaan start a business with ₹4000 and ₹17000. They earn a profit of ₹39900. What is Ishaan’s share (in ₹)?
Answer key
- 10400
- 6000
- 240
- 30600
- 83520
- 890
- 13230
- 500
- 6930
- 800
- 14400
- 4800
- 62640
- 3500
- 2640
- 167040
- 9900
- 6880
- 5600
- 1000
- 2000
- 7800
- 5280
- 73150
- 1280
- 7000
- 1580
- 67320
- 2500
- 300
- 3600
- 22140
- 580
- 4400
- 1740
- 6000
- 1200
- 300
- 15300
- 32300
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