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.Farhan and Aarav start a business with ₹11000 and ₹20000. They earn a profit of ₹27900. What is Aarav’s share (in ₹)?
- 2.Aditya puts ₹2000 into a business for 11 months and Sneha puts ₹14000 for 7 months. The profit is ₹24600. What is Aditya’s share (in ₹)?
- 3.Pooja puts ₹19000 into a business for 6 months and Tara puts ₹8000 for 12 months. The profit is ₹3850. What is Pooja’s share (in ₹)?
- 4.Ishaan and Kabir start a business with ₹10000 and ₹7000. They earn a profit of ₹3400. What is Kabir’s share (in ₹)?
- 5.Diya starts a business with ₹13000. After 8 months, Vivaan joins with ₹16000. At the end of the year the profit is ₹4950. What is Diya’s share (in ₹)?
- 6.Aditya puts ₹10000 into a business for 3 months and Tara puts ₹14000 for 5 months. The profit is ₹3700. What is Aditya’s share (in ₹)?
- 7.Pooja, Rohan and Tara invest ₹6000, ₹14000 and ₹3000 in a shop. The profit is ₹9200. What is Tara’s share (in ₹)?
- 8.Priya starts a business with ₹17000. After 4 months, Zoya joins with ₹3000. At the end of the year the profit is ₹1710. What is Priya’s share (in ₹)?
- 9.Zoya starts a business with ₹3000. After 9 months, Sneha joins with ₹20000. At the end of the year the profit is ₹8000. What is Zoya’s share (in ₹)?
- 10.Rohan and Sneha start a business with ₹4000 and ₹16000. They earn a profit of ₹4500. What is Sneha’s share (in ₹)?
- 11.Rohan, Saanvi and Ishaan invest ₹8000, ₹16000 and ₹5000 in a shop. The profit is ₹2900. What is Ishaan’s share (in ₹)?
- 12.Pooja puts ₹16000 into a business for 6 months and Aditya puts ₹19000 for 7 months. The profit is ₹61830. What is Pooja’s share (in ₹)?
- 13.Pooja and Nisha start a business with ₹15000 and ₹17000. They earn a profit of ₹16000. What is Nisha’s share (in ₹)?
- 14.Rohan starts a business with ₹5000. After 2 months, Saanvi joins with ₹19000. At the end of the year the profit is ₹22000. What is Rohan’s share (in ₹)?
- 15.Kabir and Aarav start a business with ₹11000 and ₹14000. They earn a profit of ₹32500. What is Aarav’s share (in ₹)?
- 16.Isha puts ₹4000 into a business for 7 months and Tara puts ₹14000 for 10 months. The profit is ₹2220. What is Isha’s share (in ₹)?
- 17.Kabir puts ₹19000 into a business for 7 months and Ananya puts ₹11000 for 5 months. The profit is ₹11280. What is Kabir’s share (in ₹)?
- 18.Nisha starts a business with ₹17000. After 2 months, Tara joins with ₹2000. At the end of the year the profit is ₹32480. What is Nisha’s share (in ₹)?
- 19.Meera starts a business with ₹17000. After 4 months, Priya joins with ₹5000. At the end of the year the profit is ₹32940. What is Meera’s share (in ₹)?
- 20.Kabir, Karan and Tara invest ₹18000, ₹4000 and ₹20000 in a shop. The profit is ₹14700. What is Tara’s share (in ₹)?
- 21.Aditya starts a business with ₹12000. After 4 months, Vivaan joins with ₹4000. At the end of the year the profit is ₹10340. What is Aditya’s share (in ₹)?
- 22.Rahul starts a business with ₹17000. After 6 months, Isha joins with ₹8000. At the end of the year the profit is ₹2730. What is Rahul’s share (in ₹)?
- 23.Karan, Arjun and Diya invest ₹13000, ₹6000 and ₹4000 in a shop. The profit is ₹9200. What is Diya’s share (in ₹)?
- 24.Aarav starts a business with ₹10000. After 4 months, Dev joins with ₹3000. At the end of the year the profit is ₹900. What is Aarav’s share (in ₹)?
- 25.Kabir and Dev start a business with ₹18000 and ₹13000. They earn a profit of ₹27900. What is Dev’s share (in ₹)?
- 26.Isha starts a business with ₹3000. After 7 months, Vivaan joins with ₹17000. At the end of the year the profit is ₹29040. What is Isha’s share (in ₹)?
- 27.Aarav puts ₹11000 into a business for 12 months and Tara puts ₹10000 for 10 months. The profit is ₹45820. What is Aarav’s share (in ₹)?
- 28.Vivaan puts ₹6000 into a business for 5 months and Pooja puts ₹7000 for 9 months. The profit is ₹17670. What is Vivaan’s share (in ₹)?
- 29.Rahul puts ₹18000 into a business for 6 months and Priya puts ₹6000 for 6 months. The profit is ₹2400. What is Rahul’s share (in ₹)?
- 30.Manav, Aarav and Priya invest ₹5000, ₹20000 and ₹9000 in a shop. The profit is ₹3400. What is Priya’s share (in ₹)?
- 31.Kavya and Zoya start a business with ₹6000 and ₹20000. They earn a profit of ₹13000. What is Zoya’s share (in ₹)?
- 32.Priya puts ₹7000 into a business for 12 months and Vivaan puts ₹5000 for 10 months. The profit is ₹66330. What is Priya’s share (in ₹)?
- 33.Tara, Rohan and Aditya invest ₹14000, ₹18000 and ₹17000 in a shop. The profit is ₹4900. What is Aditya’s share (in ₹)?
- 34.Rahul and Arjun start a business with ₹14000 and ₹2000. They earn a profit of ₹6400. What is Arjun’s share (in ₹)?
- 35.Pooja, Kabir and Vivaan invest ₹6000, ₹7000 and ₹2000 in a shop. The profit is ₹3000. What is Vivaan’s share (in ₹)?
- 36.Rahul starts a business with ₹10000. After 6 months, Nisha joins with ₹14000. At the end of the year the profit is ₹1700. What is Rahul’s share (in ₹)?
- 37.Ishaan starts a business with ₹17000. After 5 months, Kavya joins with ₹13000. At the end of the year the profit is ₹44250. What is Ishaan’s share (in ₹)?
- 38.Diya and Isha start a business with ₹13000 and ₹17000. They earn a profit of ₹27000. What is Isha’s share (in ₹)?
- 39.Karan and Diya start a business with ₹7000 and ₹10000. They earn a profit of ₹6800. What is Diya’s share (in ₹)?
- 40.Arjun starts a business with ₹7000. After 6 months, Vivaan joins with ₹2000. At the end of the year the profit is ₹6240. What is Arjun’s share (in ₹)?
Answer key
- 18000
- 4510
- 2090
- 1400
- 3510
- 1110
- 1200
- 1530
- 3000
- 3600
- 500
- 25920
- 8500
- 5280
- 18200
- 370
- 7980
- 29580
- 27540
- 7000
- 8460
- 2210
- 1600
- 750
- 11700
- 8640
- 26070
- 5700
- 1800
- 900
- 10000
- 41580
- 1700
- 800
- 400
- 1000
- 30600
- 15300
- 4000
- 5460
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