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.Tara starts a business with ₹15000. After 3 months, Rohan joins with ₹18000. At the end of the year the profit is ₹13490. What is Tara’s share (in ₹)?
- 2.Tara, Rahul and Sneha invest ₹3000, ₹19000 and ₹6000 in a shop. The profit is ₹22400. What is Sneha’s share (in ₹)?
- 3.Kavya and Zoya start a business with ₹18000 and ₹20000. They earn a profit of ₹34200. What is Zoya’s share (in ₹)?
- 4.Aarav, Arjun and Karan invest ₹8000, ₹15000 and ₹14000 in a shop. The profit is ₹7400. What is Karan’s share (in ₹)?
- 5.Pooja and Meera start a business with ₹12000 and ₹10000. They earn a profit of ₹2200. What is Meera’s share (in ₹)?
- 6.Isha puts ₹4000 into a business for 6 months and Pooja puts ₹8000 for 5 months. The profit is ₹3920. What is Isha’s share (in ₹)?
- 7.Rahul, Meera and Karan invest ₹17000, ₹15000 and ₹12000 in a shop. The profit is ₹22000. What is Karan’s share (in ₹)?
- 8.Diya starts a business with ₹15000. After 5 months, Karan joins with ₹4000. At the end of the year the profit is ₹26520. What is Diya’s share (in ₹)?
- 9.Rohan starts a business with ₹20000. After 7 months, Aditya joins with ₹7000. At the end of the year the profit is ₹4950. What is Rohan’s share (in ₹)?
- 10.Arjun and Diya start a business with ₹4000 and ₹15000. They earn a profit of ₹34200. What is Diya’s share (in ₹)?
- 11.Saanvi, Diya and Pooja invest ₹19000, ₹18000 and ₹19000 in a shop. The profit is ₹22400. What is Pooja’s share (in ₹)?
- 12.Rohan starts a business with ₹12000. After 8 months, Manav joins with ₹20000. At the end of the year the profit is ₹1820. What is Rohan’s share (in ₹)?
- 13.Sneha starts a business with ₹15000. After 8 months, Ishaan joins with ₹5000. At the end of the year the profit is ₹3000. What is Sneha’s share (in ₹)?
- 14.Aarav starts a business with ₹14000. After 2 months, Priya joins with ₹19000. At the end of the year the profit is ₹21480. What is Aarav’s share (in ₹)?
- 15.Zoya starts a business with ₹14000. After 7 months, Aditya joins with ₹2000. At the end of the year the profit is ₹42720. What is Zoya’s share (in ₹)?
- 16.Meera, Pooja and Aarav invest ₹8000, ₹4000 and ₹11000 in a shop. The profit is ₹20700. What is Aarav’s share (in ₹)?
- 17.Zoya puts ₹10000 into a business for 6 months and Vivaan puts ₹4000 for 9 months. The profit is ₹3040. What is Zoya’s share (in ₹)?
- 18.Pooja, Karan and Saanvi invest ₹7000, ₹4000 and ₹13000 in a shop. The profit is ₹7200. What is Saanvi’s share (in ₹)?
- 19.Rahul starts a business with ₹8000. After 3 months, Kavya joins with ₹13000. At the end of the year the profit is ₹49700. What is Rahul’s share (in ₹)?
- 20.Dev starts a business with ₹9000. After 7 months, Manav joins with ₹7000. At the end of the year the profit is ₹30030. What is Dev’s share (in ₹)?
- 21.Isha puts ₹4000 into a business for 7 months and Manav puts ₹9000 for 12 months. The profit is ₹4420. What is Isha’s share (in ₹)?
- 22.Rahul starts a business with ₹17000. After 7 months, Kabir joins with ₹4000. At the end of the year the profit is ₹16240. What is Rahul’s share (in ₹)?
- 23.Dev starts a business with ₹19000. After 7 months, Aditya joins with ₹18000. At the end of the year the profit is ₹39750. What is Dev’s share (in ₹)?
- 24.Priya puts ₹12000 into a business for 5 months and Rahul puts ₹15000 for 6 months. The profit is ₹4950. What is Priya’s share (in ₹)?
- 25.Isha starts a business with ₹10000. After 3 months, Meera joins with ₹6000. At the end of the year the profit is ₹10150. What is Isha’s share (in ₹)?
- 26.Kabir starts a business with ₹17000. After 5 months, Priya joins with ₹4000. At the end of the year the profit is ₹51620. What is Kabir’s share (in ₹)?
- 27.Priya starts a business with ₹12000. After 6 months, Ananya joins with ₹6000. At the end of the year the profit is ₹4900. What is Priya’s share (in ₹)?
- 28.Saanvi puts ₹6000 into a business for 9 months and Aditya puts ₹11000 for 11 months. The profit is ₹38500. What is Saanvi’s share (in ₹)?
- 29.Aditya, Isha and Farhan invest ₹9000, ₹4000 and ₹7000 in a shop. The profit is ₹12000. What is Farhan’s share (in ₹)?
- 30.Saanvi puts ₹8000 into a business for 3 months and Rahul puts ₹15000 for 5 months. The profit is ₹21120. What is Saanvi’s share (in ₹)?
- 31.Ishaan puts ₹4000 into a business for 8 months and Vivaan puts ₹16000 for 3 months. The profit is ₹1900. What is Ishaan’s share (in ₹)?
- 32.Farhan and Rohan start a business with ₹18000 and ₹13000. They earn a profit of ₹40300. What is Rohan’s share (in ₹)?
- 33.Kabir puts ₹17000 into a business for 8 months and Aarav puts ₹13000 for 8 months. The profit is ₹14400. What is Kabir’s share (in ₹)?
- 34.Kabir starts a business with ₹15000. After 8 months, Sneha joins with ₹4000. At the end of the year the profit is ₹16660. What is Kabir’s share (in ₹)?
- 35.Ananya and Aditya start a business with ₹13000 and ₹7000. They earn a profit of ₹4000. What is Aditya’s share (in ₹)?
- 36.Isha and Aarav start a business with ₹19000 and ₹15000. They earn a profit of ₹34000. What is Aarav’s share (in ₹)?
- 37.Nisha, Priya and Karan invest ₹12000, ₹3000 and ₹7000 in a shop. The profit is ₹15400. What is Karan’s share (in ₹)?
- 38.Arjun and Tara start a business with ₹11000 and ₹13000. They earn a profit of ₹28800. What is Tara’s share (in ₹)?
- 39.Ananya and Nisha start a business with ₹13000 and ₹14000. They earn a profit of ₹45900. What is Nisha’s share (in ₹)?
- 40.Meera and Kabir start a business with ₹15000 and ₹13000. They earn a profit of ₹11200. What is Kabir’s share (in ₹)?
Answer key
- 7100
- 4800
- 18000
- 2800
- 1000
- 1470
- 6000
- 22950
- 4320
- 27000
- 7600
- 1170
- 2700
- 10080
- 40320
- 9900
- 1900
- 3900
- 22400
- 22680
- 910
- 14790
- 28500
- 1980
- 7000
- 45390
- 3920
- 11880
- 4200
- 5120
- 760
- 16900
- 8160
- 15300
- 1400
- 15000
- 4900
- 15600
- 23800
- 5200
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