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.Aditya, Aarav and Diya invest ₹6000, ₹9000 and ₹2000 in a shop. The profit is ₹8500. What is Diya’s share (in ₹)?
- 2.Pooja starts a business with ₹5000. After 2 months, Tara joins with ₹17000. At the end of the year the profit is ₹5750. What is Pooja’s share (in ₹)?
- 3.Aditya, Tara and Saanvi invest ₹14000, ₹12000 and ₹2000 in a shop. The profit is ₹9800. What is Saanvi’s share (in ₹)?
- 4.Zoya and Aarav start a business with ₹2000 and ₹15000. They earn a profit of ₹6800. What is Aarav’s share (in ₹)?
- 5.Priya puts ₹4000 into a business for 11 months and Meera puts ₹17000 for 4 months. The profit is ₹12320. What is Priya’s share (in ₹)?
- 6.Isha puts ₹16000 into a business for 10 months and Arjun puts ₹6000 for 3 months. The profit is ₹73870. What is Isha’s share (in ₹)?
- 7.Ishaan and Arjun start a business with ₹17000 and ₹10000. They earn a profit of ₹48600. What is Arjun’s share (in ₹)?
- 8.Diya puts ₹15000 into a business for 4 months and Ishaan puts ₹13000 for 3 months. The profit is ₹23760. What is Diya’s share (in ₹)?
- 9.Nisha starts a business with ₹14000. After 9 months, Rohan joins with ₹9000. At the end of the year the profit is ₹33800. What is Nisha’s share (in ₹)?
- 10.Rahul and Farhan start a business with ₹9000 and ₹13000. They earn a profit of ₹44000. What is Farhan’s share (in ₹)?
- 11.Saanvi puts ₹5000 into a business for 11 months and Sneha puts ₹12000 for 4 months. The profit is ₹71070. What is Saanvi’s share (in ₹)?
- 12.Karan, Pooja and Dev invest ₹8000, ₹17000 and ₹7000 in a shop. The profit is ₹19200. What is Dev’s share (in ₹)?
- 13.Pooja and Kavya start a business with ₹2000 and ₹4000. They earn a profit of ₹5700. What is Kavya’s share (in ₹)?
- 14.Aarav starts a business with ₹2000. After 8 months, Isha joins with ₹6000. At the end of the year the profit is ₹920. What is Aarav’s share (in ₹)?
- 15.Meera starts a business with ₹5000. After 9 months, Dev joins with ₹6000. At the end of the year the profit is ₹1170. What is Meera’s share (in ₹)?
- 16.Rohan starts a business with ₹7000. After 4 months, Farhan joins with ₹3000. At the end of the year the profit is ₹8550. What is Rohan’s share (in ₹)?
- 17.Pooja puts ₹14000 into a business for 10 months and Ananya puts ₹18000 for 5 months. The profit is ₹4830. What is Pooja’s share (in ₹)?
- 18.Vivaan puts ₹2000 into a business for 5 months and Karan puts ₹5000 for 10 months. The profit is ₹5100. What is Vivaan’s share (in ₹)?
- 19.Pooja starts a business with ₹19000. After 2 months, Tara joins with ₹16000. At the end of the year the profit is ₹7760. What is Pooja’s share (in ₹)?
- 20.Farhan starts a business with ₹18000. After 2 months, Sneha joins with ₹12000. At the end of the year the profit is ₹9100. What is Farhan’s share (in ₹)?
- 21.Nisha, Arjun and Vivaan invest ₹9000, ₹19000 and ₹2000 in a shop. The profit is ₹15000. What is Vivaan’s share (in ₹)?
- 22.Diya and Pooja start a business with ₹15000 and ₹10000. They earn a profit of ₹10000. What is Pooja’s share (in ₹)?
- 23.Ananya and Rahul start a business with ₹9000 and ₹16000. They earn a profit of ₹45000. What is Rahul’s share (in ₹)?
- 24.Rahul starts a business with ₹6000. After 9 months, Dev joins with ₹19000. At the end of the year the profit is ₹8600. What is Rahul’s share (in ₹)?
- 25.Tara, Aditya and Diya invest ₹9000, ₹4000 and ₹3000 in a shop. The profit is ₹11200. What is Diya’s share (in ₹)?
- 26.Rahul puts ₹18000 into a business for 11 months and Sneha puts ₹2000 for 5 months. The profit is ₹16640. What is Rahul’s share (in ₹)?
- 27.Sneha, Kabir and Diya invest ₹5000, ₹12000 and ₹16000 in a shop. The profit is ₹23100. What is Diya’s share (in ₹)?
- 28.Priya starts a business with ₹15000. After 9 months, Saanvi joins with ₹12000. At the end of the year the profit is ₹2340. What is Priya’s share (in ₹)?
- 29.Rahul and Aditya start a business with ₹5000 and ₹11000. They earn a profit of ₹17600. What is Aditya’s share (in ₹)?
- 30.Zoya, Saanvi and Diya invest ₹5000, ₹3000 and ₹16000 in a shop. The profit is ₹7200. What is Diya’s share (in ₹)?
- 31.Aarav puts ₹15000 into a business for 3 months and Rahul puts ₹4000 for 4 months. The profit is ₹59780. What is Aarav’s share (in ₹)?
- 32.Rahul puts ₹20000 into a business for 6 months and Aarav puts ₹19000 for 11 months. The profit is ₹273070. What is Rahul’s share (in ₹)?
- 33.Isha starts a business with ₹9000. After 9 months, Dev joins with ₹12000. At the end of the year the profit is ₹1960. What is Isha’s share (in ₹)?
- 34.Farhan starts a business with ₹11000. After 5 months, Kavya joins with ₹10000. At the end of the year the profit is ₹25250. What is Farhan’s share (in ₹)?
- 35.Farhan, Aarav and Meera invest ₹20000, ₹8000 and ₹7000 in a shop. The profit is ₹21000. What is Meera’s share (in ₹)?
- 36.Diya starts a business with ₹19000. After 6 months, Karan joins with ₹2000. At the end of the year the profit is ₹10800. What is Diya’s share (in ₹)?
- 37.Pooja and Ishaan start a business with ₹20000 and ₹18000. They earn a profit of ₹28500. What is Ishaan’s share (in ₹)?
- 38.Dev and Isha start a business with ₹14000 and ₹9000. They earn a profit of ₹20700. What is Isha’s share (in ₹)?
- 39.Ananya starts a business with ₹10000. After 8 months, Kavya joins with ₹14000. At the end of the year the profit is ₹21780. What is Ananya’s share (in ₹)?
- 40.Diya, Priya and Sneha invest ₹10000, ₹16000 and ₹7000 in a shop. The profit is ₹16500. What is Sneha’s share (in ₹)?
Answer key
- 1000
- 1500
- 700
- 6000
- 4840
- 66400
- 18000
- 14400
- 29120
- 26000
- 37950
- 4200
- 3800
- 460
- 900
- 6650
- 2940
- 850
- 4560
- 5850
- 1000
- 4000
- 28800
- 4800
- 2100
- 15840
- 11200
- 1950
- 12100
- 4800
- 44100
- 99600
- 1470
- 16500
- 4200
- 10260
- 13500
- 8100
- 14850
- 3500
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