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.Arjun starts a business with ₹12000. After 8 months, Isha joins with ₹2000. At the end of the year the profit is ₹13110. What is Arjun’s share (in ₹)?
- 2.Diya, Dev and Sneha invest ₹3000, ₹4000 and ₹5000 in a shop. The profit is ₹6000. What is Sneha’s share (in ₹)?
- 3.Aditya starts a business with ₹16000. After 4 months, Ishaan joins with ₹20000. At the end of the year the profit is ₹7150. What is Aditya’s share (in ₹)?
- 4.Diya puts ₹12000 into a business for 11 months and Aarav puts ₹13000 for 3 months. The profit is ₹39900. What is Diya’s share (in ₹)?
- 5.Sneha, Dev and Ananya invest ₹15000, ₹14000 and ₹10000 in a shop. The profit is ₹11700. What is Ananya’s share (in ₹)?
- 6.Rohan and Saanvi start a business with ₹8000 and ₹16000. They earn a profit of ₹5400. What is Saanvi’s share (in ₹)?
- 7.Arjun, Isha and Nisha invest ₹7000, ₹8000 and ₹16000 in a shop. The profit is ₹6200. What is Nisha’s share (in ₹)?
- 8.Meera and Priya start a business with ₹19000 and ₹7000. They earn a profit of ₹20800. What is Priya’s share (in ₹)?
- 9.Zoya starts a business with ₹2000. After 5 months, Vivaan joins with ₹6000. At the end of the year the profit is ₹8250. What is Zoya’s share (in ₹)?
- 10.Rahul and Arjun start a business with ₹20000 and ₹18000. They earn a profit of ₹9500. What is Arjun’s share (in ₹)?
- 11.Isha starts a business with ₹8000. After 4 months, Dev joins with ₹3000. At the end of the year the profit is ₹3500. What is Isha’s share (in ₹)?
- 12.Zoya starts a business with ₹2000. After 4 months, Rahul joins with ₹16000. At the end of the year the profit is ₹10070. What is Zoya’s share (in ₹)?
- 13.Zoya puts ₹5000 into a business for 5 months and Vivaan puts ₹7000 for 3 months. The profit is ₹5060. What is Zoya’s share (in ₹)?
- 14.Dev starts a business with ₹20000. After 3 months, Ishaan joins with ₹2000. At the end of the year the profit is ₹40850. What is Dev’s share (in ₹)?
- 15.Dev and Priya start a business with ₹2000 and ₹11000. They earn a profit of ₹13000. What is Priya’s share (in ₹)?
- 16.Karan, Meera and Farhan invest ₹10000, ₹16000 and ₹15000 in a shop. The profit is ₹36900. What is Farhan’s share (in ₹)?
- 17.Ishaan and Manav start a business with ₹14000 and ₹20000. They earn a profit of ₹22100. What is Manav’s share (in ₹)?
- 18.Rahul puts ₹9000 into a business for 6 months and Zoya puts ₹18000 for 8 months. The profit is ₹10340. What is Rahul’s share (in ₹)?
- 19.Priya, Ishaan and Sneha invest ₹16000, ₹13000 and ₹7000 in a shop. The profit is ₹25200. What is Sneha’s share (in ₹)?
- 20.Vivaan starts a business with ₹4000. After 3 months, Saanvi joins with ₹14000. At the end of the year the profit is ₹19430. What is Vivaan’s share (in ₹)?
- 21.Aarav puts ₹13000 into a business for 10 months and Kavya puts ₹11000 for 4 months. The profit is ₹29580. What is Aarav’s share (in ₹)?
- 22.Priya and Ananya start a business with ₹12000 and ₹18000. They earn a profit of ₹1000. What is Ananya’s share (in ₹)?
- 23.Farhan, Pooja and Aditya invest ₹8000, ₹6000 and ₹20000 in a shop. The profit is ₹17000. What is Aditya’s share (in ₹)?
- 24.Nisha, Saanvi and Kavya invest ₹11000, ₹9000 and ₹5000 in a shop. The profit is ₹10000. What is Kavya’s share (in ₹)?
- 25.Nisha puts ₹12000 into a business for 11 months and Isha puts ₹14000 for 5 months. The profit is ₹29290. What is Nisha’s share (in ₹)?
- 26.Meera, Aarav and Ananya invest ₹16000, ₹20000 and ₹20000 in a shop. The profit is ₹9800. What is Ananya’s share (in ₹)?
- 27.Ananya starts a business with ₹17000. After 8 months, Kavya joins with ₹2000. At the end of the year the profit is ₹12720. What is Ananya’s share (in ₹)?
- 28.Aarav starts a business with ₹8000. After 8 months, Diya joins with ₹18000. At the end of the year the profit is ₹2590. What is Aarav’s share (in ₹)?
- 29.Ishaan and Manav start a business with ₹18000 and ₹9000. They earn a profit of ₹5400. What is Manav’s share (in ₹)?
- 30.Isha starts a business with ₹15000. After 9 months, Saanvi joins with ₹8000. At the end of the year the profit is ₹3230. What is Isha’s share (in ₹)?
- 31.Isha, Farhan and Manav invest ₹3000, ₹14000 and ₹6000 in a shop. The profit is ₹6900. What is Manav’s share (in ₹)?
- 32.Nisha, Arjun and Priya invest ₹20000, ₹17000 and ₹9000 in a shop. The profit is ₹4600. What is Priya’s share (in ₹)?
- 33.Rahul starts a business with ₹6000. After 2 months, Vivaan joins with ₹16000. At the end of the year the profit is ₹7250. What is Rahul’s share (in ₹)?
- 34.Pooja puts ₹15000 into a business for 4 months and Rohan puts ₹18000 for 3 months. The profit is ₹7600. What is Pooja’s share (in ₹)?
- 35.Pooja and Zoya start a business with ₹16000 and ₹10000. They earn a profit of ₹20800. What is Zoya’s share (in ₹)?
- 36.Sneha, Meera and Kabir invest ₹10000, ₹12000 and ₹3000 in a shop. The profit is ₹2500. What is Kabir’s share (in ₹)?
- 37.Priya puts ₹3000 into a business for 4 months and Ananya puts ₹9000 for 4 months. The profit is ₹200. What is Priya’s share (in ₹)?
- 38.Pooja, Isha and Rohan invest ₹17000, ₹4000 and ₹8000 in a shop. The profit is ₹11600. What is Rohan’s share (in ₹)?
- 39.Zoya puts ₹14000 into a business for 9 months and Isha puts ₹12000 for 8 months. The profit is ₹12210. What is Zoya’s share (in ₹)?
- 40.Aarav and Meera start a business with ₹8000 and ₹9000. They earn a profit of ₹34000. What is Meera’s share (in ₹)?
Answer key
- 12420
- 2500
- 3900
- 30800
- 3000
- 3600
- 3200
- 5600
- 3000
- 4500
- 2800
- 1590
- 2750
- 38000
- 11000
- 13500
- 13000
- 2820
- 4900
- 5360
- 22100
- 600
- 10000
- 2000
- 19140
- 3500
- 12240
- 1480
- 1800
- 2850
- 1800
- 900
- 2250
- 4000
- 8000
- 300
- 50
- 3200
- 6930
- 18000
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