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.
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- 1.Rahul puts ₹6000 into a business for 10 months and Dev puts ₹11000 for 10 months. The profit is ₹11050. What is Rahul’s share (in ₹)?
- 2.Meera and Saanvi start a business with ₹6000 and ₹11000. They earn a profit of ₹8500. What is Saanvi’s share (in ₹)?
- 3.Aarav puts ₹15000 into a business for 12 months and Arjun puts ₹8000 for 4 months. The profit is ₹49820. What is Aarav’s share (in ₹)?
- 4.Manav starts a business with ₹10000. After 8 months, Rahul joins with ₹4000. At the end of the year the profit is ₹4930. What is Manav’s share (in ₹)?
- 5.Pooja and Arjun start a business with ₹10000 and ₹3000. They earn a profit of ₹6500. What is Arjun’s share (in ₹)?
- 6.Kavya starts a business with ₹5000. After 5 months, Aditya joins with ₹3000. At the end of the year the profit is ₹13770. What is Kavya’s share (in ₹)?
- 7.Saanvi and Priya start a business with ₹18000 and ₹9000. They earn a profit of ₹600. What is Priya’s share (in ₹)?
- 8.Aarav, Vivaan and Meera invest ₹8000, ₹13000 and ₹10000 in a shop. The profit is ₹27900. What is Meera’s share (in ₹)?
- 9.Rahul, Dev and Karan invest ₹17000, ₹9000 and ₹3000 in a shop. The profit is ₹8700. What is Karan’s share (in ₹)?
- 10.Kabir and Aditya start a business with ₹3000 and ₹6000. They earn a profit of ₹1200. What is Aditya’s share (in ₹)?
- 11.Manav starts a business with ₹8000. After 3 months, Kavya joins with ₹18000. At the end of the year the profit is ₹9030. What is Manav’s share (in ₹)?
- 12.Priya, Karan and Meera invest ₹20000, ₹5000 and ₹19000 in a shop. The profit is ₹30800. What is Meera’s share (in ₹)?
- 13.Ishaan and Aarav start a business with ₹18000 and ₹11000. They earn a profit of ₹2900. What is Aarav’s share (in ₹)?
- 14.Nisha and Priya start a business with ₹10000 and ₹16000. They earn a profit of ₹1300. What is Priya’s share (in ₹)?
- 15.Ishaan puts ₹18000 into a business for 12 months and Meera puts ₹16000 for 3 months. The profit is ₹7700. What is Ishaan’s share (in ₹)?
- 16.Isha puts ₹17000 into a business for 7 months and Karan puts ₹14000 for 6 months. The profit is ₹6670. What is Isha’s share (in ₹)?
- 17.Rohan starts a business with ₹15000. After 6 months, Aditya joins with ₹16000. At the end of the year the profit is ₹3680. What is Rohan’s share (in ₹)?
- 18.Arjun starts a business with ₹4000. After 8 months, Diya joins with ₹3000. At the end of the year the profit is ₹1300. What is Arjun’s share (in ₹)?
- 19.Saanvi and Diya start a business with ₹19000 and ₹18000. They earn a profit of ₹18500. What is Diya’s share (in ₹)?
- 20.Kabir and Rahul start a business with ₹3000 and ₹7000. They earn a profit of ₹2000. What is Rahul’s share (in ₹)?
- 21.Sneha starts a business with ₹18000. After 6 months, Ananya joins with ₹19000. At the end of the year the profit is ₹35750. What is Sneha’s share (in ₹)?
- 22.Tara and Priya start a business with ₹6000 and ₹13000. They earn a profit of ₹20900. What is Priya’s share (in ₹)?
- 23.Kavya and Arjun start a business with ₹2000 and ₹10000. They earn a profit of ₹12000. What is Arjun’s share (in ₹)?
- 24.Sneha puts ₹15000 into a business for 11 months and Priya puts ₹14000 for 6 months. The profit is ₹70550. What is Sneha’s share (in ₹)?
- 25.Rahul, Isha and Diya invest ₹17000, ₹6000 and ₹4000 in a shop. The profit is ₹8100. What is Diya’s share (in ₹)?
- 26.Ananya puts ₹6000 into a business for 9 months and Kavya puts ₹3000 for 8 months. The profit is ₹13000. What is Ananya’s share (in ₹)?
- 27.Meera, Ananya and Pooja invest ₹5000, ₹17000 and ₹11000 in a shop. The profit is ₹33000. What is Pooja’s share (in ₹)?
- 28.Aditya puts ₹5000 into a business for 7 months and Nisha puts ₹4000 for 4 months. The profit is ₹42840. What is Aditya’s share (in ₹)?
- 29.Aarav starts a business with ₹2000. After 3 months, Ananya joins with ₹12000. At the end of the year the profit is ₹1540. What is Aarav’s share (in ₹)?
- 30.Rahul starts a business with ₹20000. After 7 months, Kavya joins with ₹7000. At the end of the year the profit is ₹23650. What is Rahul’s share (in ₹)?
- 31.Arjun and Sneha start a business with ₹3000 and ₹13000. They earn a profit of ₹12800. What is Sneha’s share (in ₹)?
- 32.Sneha starts a business with ₹11000. After 2 months, Ananya joins with ₹8000. At the end of the year the profit is ₹28090. What is Sneha’s share (in ₹)?
- 33.Saanvi puts ₹12000 into a business for 3 months and Ishaan puts ₹2000 for 8 months. The profit is ₹3250. What is Saanvi’s share (in ₹)?
- 34.Karan and Rahul start a business with ₹14000 and ₹13000. They earn a profit of ₹21600. What is Rahul’s share (in ₹)?
- 35.Tara, Vivaan and Kavya invest ₹13000, ₹17000 and ₹9000 in a shop. The profit is ₹31200. What is Kavya’s share (in ₹)?
- 36.Meera puts ₹10000 into a business for 6 months and Arjun puts ₹11000 for 6 months. The profit is ₹19950. What is Meera’s share (in ₹)?
- 37.Ananya, Rohan and Farhan invest ₹20000, ₹15000 and ₹2000 in a shop. The profit is ₹29600. What is Farhan’s share (in ₹)?
- 38.Rahul, Saanvi and Sneha invest ₹3000, ₹19000 and ₹3000 in a shop. The profit is ₹2500. What is Sneha’s share (in ₹)?
- 39.Ananya puts ₹17000 into a business for 8 months and Aarav puts ₹12000 for 11 months. The profit is ₹46900. What is Ananya’s share (in ₹)?
- 40.Aarav and Kavya start a business with ₹15000 and ₹20000. They earn a profit of ₹9800. What is Kavya’s share (in ₹)?
Answer key
- 3900
- 5500
- 42300
- 4350
- 1500
- 10200
- 200
- 9000
- 900
- 800
- 3360
- 13300
- 1100
- 800
- 6300
- 3910
- 2400
- 1040
- 9000
- 1400
- 23400
- 14300
- 10000
- 46750
- 1200
- 9000
- 11000
- 29400
- 280
- 20640
- 10400
- 17490
- 2250
- 10400
- 7200
- 9500
- 1600
- 300
- 23800
- 5600
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