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 puts ₹18000 into a business for 6 months and Aarav puts ₹14000 for 5 months. The profit is ₹73870. What is Aditya’s share (in ₹)?
- 2.Diya and Ananya start a business with ₹12000 and ₹20000. They earn a profit of ₹10400. What is Ananya’s share (in ₹)?
- 3.Karan, Kabir and Farhan invest ₹16000, ₹2000 and ₹12000 in a shop. The profit is ₹3000. What is Farhan’s share (in ₹)?
- 4.Aarav and Meera start a business with ₹9000 and ₹12000. They earn a profit of ₹10500. What is Meera’s share (in ₹)?
- 5.Rohan starts a business with ₹4000. After 9 months, Ananya joins with ₹3000. At the end of the year the profit is ₹13490. What is Rohan’s share (in ₹)?
- 6.Vivaan puts ₹7000 into a business for 3 months and Diya puts ₹14000 for 3 months. The profit is ₹2730. What is Vivaan’s share (in ₹)?
- 7.Tara and Zoya start a business with ₹9000 and ₹8000. They earn a profit of ₹3400. What is Zoya’s share (in ₹)?
- 8.Karan puts ₹4000 into a business for 4 months and Nisha puts ₹15000 for 12 months. The profit is ₹17150. What is Karan’s share (in ₹)?
- 9.Rahul, Karan and Farhan invest ₹6000, ₹16000 and ₹13000 in a shop. The profit is ₹21000. What is Farhan’s share (in ₹)?
- 10.Ananya, Rohan and Kabir invest ₹14000, ₹11000 and ₹20000 in a shop. The profit is ₹45000. What is Kabir’s share (in ₹)?
- 11.Karan puts ₹15000 into a business for 7 months and Aarav puts ₹6000 for 11 months. The profit is ₹17670. What is Karan’s share (in ₹)?
- 12.Tara, Diya and Isha invest ₹11000, ₹8000 and ₹2000 in a shop. The profit is ₹14700. What is Isha’s share (in ₹)?
- 13.Isha, Manav and Ishaan invest ₹17000, ₹16000 and ₹15000 in a shop. The profit is ₹24000. What is Ishaan’s share (in ₹)?
- 14.Manav starts a business with ₹2000. After 4 months, Sneha joins with ₹15000. At the end of the year the profit is ₹360. What is Manav’s share (in ₹)?
- 15.Karan starts a business with ₹20000. After 7 months, Farhan joins with ₹8000. At the end of the year the profit is ₹4970. What is Karan’s share (in ₹)?
- 16.Karan starts a business with ₹19000. After 6 months, Rohan joins with ₹7000. At the end of the year the profit is ₹25200. What is Karan’s share (in ₹)?
- 17.Karan, Ananya and Aarav invest ₹14000, ₹3000 and ₹2000 in a shop. The profit is ₹15200. What is Aarav’s share (in ₹)?
- 18.Aarav and Dev start a business with ₹10000 and ₹11000. They earn a profit of ₹31500. What is Dev’s share (in ₹)?
- 19.Rahul, Karan and Aarav invest ₹19000, ₹11000 and ₹5000 in a shop. The profit is ₹10500. What is Aarav’s share (in ₹)?
- 20.Priya and Arjun start a business with ₹2000 and ₹8000. They earn a profit of ₹6000. What is Arjun’s share (in ₹)?
- 21.Pooja, Aarav and Arjun invest ₹12000, ₹14000 and ₹15000 in a shop. The profit is ₹20500. What is Arjun’s share (in ₹)?
- 22.Nisha and Ishaan start a business with ₹4000 and ₹10000. They earn a profit of ₹11200. What is Ishaan’s share (in ₹)?
- 23.Pooja and Arjun start a business with ₹18000 and ₹11000. They earn a profit of ₹23200. What is Arjun’s share (in ₹)?
- 24.Karan puts ₹2000 into a business for 3 months and Isha puts ₹4000 for 7 months. The profit is ₹6120. What is Karan’s share (in ₹)?
- 25.Isha puts ₹6000 into a business for 3 months and Nisha puts ₹13000 for 11 months. The profit is ₹157780. What is Isha’s share (in ₹)?
- 26.Tara, Kabir and Kavya invest ₹17000, ₹6000 and ₹3000 in a shop. The profit is ₹2600. What is Kavya’s share (in ₹)?
- 27.Karan and Tara start a business with ₹18000 and ₹7000. They earn a profit of ₹50000. What is Tara’s share (in ₹)?
- 28.Ishaan starts a business with ₹17000. After 2 months, Nisha joins with ₹4000. At the end of the year the profit is ₹28060. What is Ishaan’s share (in ₹)?
- 29.Ananya and Kabir start a business with ₹17000 and ₹14000. They earn a profit of ₹21700. What is Kabir’s share (in ₹)?
- 30.Karan starts a business with ₹20000. After 7 months, Ishaan joins with ₹10000. At the end of the year the profit is ₹7540. What is Karan’s share (in ₹)?
- 31.Vivaan puts ₹13000 into a business for 12 months and Meera puts ₹15000 for 10 months. The profit is ₹16320. What is Vivaan’s share (in ₹)?
- 32.Ishaan starts a business with ₹7000. After 4 months, Diya joins with ₹20000. At the end of the year the profit is ₹57340. What is Ishaan’s share (in ₹)?
- 33.Kavya puts ₹11000 into a business for 3 months and Vivaan puts ₹17000 for 5 months. The profit is ₹61360. What is Kavya’s share (in ₹)?
- 34.Nisha starts a business with ₹20000. After 9 months, Pooja joins with ₹7000. At the end of the year the profit is ₹22620. What is Nisha’s share (in ₹)?
- 35.Diya puts ₹4000 into a business for 7 months and Dev puts ₹3000 for 5 months. The profit is ₹11180. What is Diya’s share (in ₹)?
- 36.Aditya and Ishaan start a business with ₹9000 and ₹17000. They earn a profit of ₹5200. What is Ishaan’s share (in ₹)?
- 37.Diya starts a business with ₹18000. After 2 months, Pooja joins with ₹11000. At the end of the year the profit is ₹136920. What is Diya’s share (in ₹)?
- 38.Farhan and Saanvi start a business with ₹16000 and ₹5000. They earn a profit of ₹12600. What is Saanvi’s share (in ₹)?
- 39.Aarav and Arjun start a business with ₹17000 and ₹11000. They earn a profit of ₹28000. What is Arjun’s share (in ₹)?
- 40.Aarav puts ₹4000 into a business for 11 months and Arjun puts ₹7000 for 6 months. The profit is ₹4300. What is Aarav’s share (in ₹)?
Answer key
- 44820
- 6500
- 1200
- 6000
- 11360
- 910
- 1600
- 1400
- 7800
- 20000
- 10850
- 1400
- 7500
- 60
- 4260
- 21280
- 1600
- 16500
- 1500
- 4800
- 7500
- 8000
- 8800
- 1080
- 17640
- 300
- 14000
- 23460
- 9800
- 6240
- 8320
- 19740
- 17160
- 20800
- 7280
- 3400
- 90720
- 3000
- 11000
- 2200
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