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.Arjun starts a business with ₹4000. After 9 months, Kavya joins with ₹9000. At the end of the year the profit is ₹7250. What is Arjun’s share (in ₹)?
- 2.Pooja and Manav start a business with ₹2000 and ₹4000. They earn a profit of ₹4200. What is Manav’s share (in ₹)?
- 3.Nisha starts a business with ₹15000. After 3 months, Pooja joins with ₹17000. At the end of the year the profit is ₹5920. What is Nisha’s share (in ₹)?
- 4.Vivaan puts ₹15000 into a business for 10 months and Ishaan puts ₹16000 for 11 months. The profit is ₹68460. What is Vivaan’s share (in ₹)?
- 5.Kavya puts ₹10000 into a business for 5 months and Dev puts ₹2000 for 6 months. The profit is ₹27590. What is Kavya’s share (in ₹)?
- 6.Sneha starts a business with ₹11000. After 3 months, Rahul joins with ₹5000. At the end of the year the profit is ₹18290. What is Sneha’s share (in ₹)?
- 7.Aarav, Kavya and Sneha invest ₹9000, ₹14000 and ₹17000 in a shop. The profit is ₹24000. What is Sneha’s share (in ₹)?
- 8.Tara and Ananya start a business with ₹6000 and ₹7000. They earn a profit of ₹1300. What is Ananya’s share (in ₹)?
- 9.Isha, Kabir and Rahul invest ₹11000, ₹2000 and ₹13000 in a shop. The profit is ₹10400. What is Rahul’s share (in ₹)?
- 10.Priya puts ₹4000 into a business for 4 months and Arjun puts ₹14000 for 11 months. The profit is ₹45900. What is Priya’s share (in ₹)?
- 11.Vivaan puts ₹6000 into a business for 5 months and Kabir puts ₹7000 for 11 months. The profit is ₹36380. What is Vivaan’s share (in ₹)?
- 12.Ananya, Priya and Ishaan invest ₹5000, ₹8000 and ₹5000 in a shop. The profit is ₹9000. What is Ishaan’s share (in ₹)?
- 13.Kabir starts a business with ₹10000. After 6 months, Aditya joins with ₹19000. At the end of the year the profit is ₹7800. What is Kabir’s share (in ₹)?
- 14.Meera, Farhan and Priya invest ₹13000, ₹6000 and ₹13000 in a shop. The profit is ₹25600. What is Priya’s share (in ₹)?
- 15.Tara and Aarav start a business with ₹9000 and ₹19000. They earn a profit of ₹8400. What is Aarav’s share (in ₹)?
- 16.Farhan starts a business with ₹15000. After 6 months, Rohan joins with ₹9000. At the end of the year the profit is ₹5980. What is Farhan’s share (in ₹)?
- 17.Ishaan starts a business with ₹17000. After 4 months, Aditya joins with ₹19000. At the end of the year the profit is ₹8900. What is Ishaan’s share (in ₹)?
- 18.Pooja puts ₹10000 into a business for 8 months and Meera puts ₹7000 for 6 months. The profit is ₹32330. What is Pooja’s share (in ₹)?
- 19.Saanvi starts a business with ₹11000. After 9 months, Ishaan joins with ₹15000. At the end of the year the profit is ₹22420. What is Saanvi’s share (in ₹)?
- 20.Karan, Aarav and Kabir invest ₹5000, ₹18000 and ₹8000 in a shop. The profit is ₹31000. What is Kabir’s share (in ₹)?
- 21.Farhan and Meera start a business with ₹2000 and ₹14000. They earn a profit of ₹12000. What is Meera’s share (in ₹)?
- 22.Ananya starts a business with ₹17000. After 8 months, Manav joins with ₹14000. At the end of the year the profit is ₹11700. What is Ananya’s share (in ₹)?
- 23.Manav puts ₹8000 into a business for 7 months and Kavya puts ₹3000 for 12 months. The profit is ₹6440. What is Manav’s share (in ₹)?
- 24.Tara puts ₹3000 into a business for 3 months and Aditya puts ₹8000 for 3 months. The profit is ₹2750. What is Tara’s share (in ₹)?
- 25.Arjun, Ananya and Rohan invest ₹7000, ₹8000 and ₹10000 in a shop. The profit is ₹22500. What is Rohan’s share (in ₹)?
- 26.Farhan, Karan and Rohan invest ₹7000, ₹4000 and ₹20000 in a shop. The profit is ₹3100. What is Rohan’s share (in ₹)?
- 27.Sneha and Aditya start a business with ₹11000 and ₹9000. They earn a profit of ₹28000. What is Aditya’s share (in ₹)?
- 28.Dev and Kabir start a business with ₹7000 and ₹12000. They earn a profit of ₹1900. What is Kabir’s share (in ₹)?
- 29.Ananya puts ₹15000 into a business for 11 months and Arjun puts ₹2000 for 5 months. The profit is ₹24150. What is Ananya’s share (in ₹)?
- 30.Nisha starts a business with ₹5000. After 9 months, Isha joins with ₹15000. At the end of the year the profit is ₹5810. What is Nisha’s share (in ₹)?
- 31.Pooja puts ₹14000 into a business for 12 months and Arjun puts ₹5000 for 5 months. The profit is ₹169840. What is Pooja’s share (in ₹)?
- 32.Saanvi and Rohan start a business with ₹10000 and ₹19000. They earn a profit of ₹8700. What is Rohan’s share (in ₹)?
- 33.Pooja, Kabir and Isha invest ₹4000, ₹2000 and ₹14000 in a shop. The profit is ₹9000. What is Isha’s share (in ₹)?
- 34.Kavya starts a business with ₹5000. After 6 months, Meera joins with ₹4000. At the end of the year the profit is ₹6790. What is Kavya’s share (in ₹)?
- 35.Meera, Diya and Aarav invest ₹2000, ₹4000 and ₹20000 in a shop. The profit is ₹13000. What is Aarav’s share (in ₹)?
- 36.Saanvi puts ₹2000 into a business for 5 months and Farhan puts ₹18000 for 9 months. The profit is ₹30100. What is Saanvi’s share (in ₹)?
- 37.Saanvi puts ₹10000 into a business for 7 months and Isha puts ₹4000 for 5 months. The profit is ₹900. What is Saanvi’s share (in ₹)?
- 38.Arjun starts a business with ₹4000. After 2 months, Diya joins with ₹13000. At the end of the year the profit is ₹71200. What is Arjun’s share (in ₹)?
- 39.Arjun puts ₹9000 into a business for 3 months and Zoya puts ₹13000 for 3 months. The profit is ₹11000. What is Arjun’s share (in ₹)?
- 40.Aarav puts ₹15000 into a business for 7 months and Priya puts ₹9000 for 8 months. The profit is ₹31270. What is Aarav’s share (in ₹)?
Answer key
- 4640
- 2800
- 3200
- 31500
- 22250
- 13640
- 10200
- 700
- 5200
- 4320
- 10200
- 2500
- 4000
- 10400
- 5700
- 4600
- 5100
- 21200
- 16720
- 8000
- 10500
- 9180
- 3920
- 750
- 9000
- 2000
- 12600
- 1200
- 22770
- 3320
- 147840
- 5700
- 6300
- 4850
- 10000
- 1750
- 700
- 19200
- 4500
- 18550
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