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.Arjun starts a business with ₹9000. After 4 months, Zoya joins with ₹13000. At the end of the year the profit is ₹48230. What is Arjun’s share (in ₹)?
- 2.Pooja starts a business with ₹17000. After 8 months, Meera joins with ₹13000. At the end of the year the profit is ₹44160. What is Pooja’s share (in ₹)?
- 3.Saanvi and Pooja start a business with ₹2000 and ₹16000. They earn a profit of ₹6300. What is Pooja’s share (in ₹)?
- 4.Ishaan puts ₹15000 into a business for 4 months and Meera puts ₹20000 for 10 months. The profit is ₹11700. What is Ishaan’s share (in ₹)?
- 5.Kavya, Vivaan and Priya invest ₹4000, ₹3000 and ₹17000 in a shop. The profit is ₹21600. What is Priya’s share (in ₹)?
- 6.Ananya starts a business with ₹7000. After 2 months, Karan joins with ₹9000. At the end of the year the profit is ₹27840. What is Ananya’s share (in ₹)?
- 7.Diya puts ₹20000 into a business for 6 months and Zoya puts ₹19000 for 10 months. The profit is ₹23870. What is Diya’s share (in ₹)?
- 8.Dev, Karan and Zoya invest ₹12000, ₹11000 and ₹15000 in a shop. The profit is ₹22800. What is Zoya’s share (in ₹)?
- 9.Nisha and Farhan start a business with ₹15000 and ₹6000. They earn a profit of ₹12600. What is Farhan’s share (in ₹)?
- 10.Kabir, Priya and Aarav invest ₹14000, ₹5000 and ₹19000 in a shop. The profit is ₹11400. What is Aarav’s share (in ₹)?
- 11.Priya, Saanvi and Farhan invest ₹15000, ₹7000 and ₹5000 in a shop. The profit is ₹13500. What is Farhan’s share (in ₹)?
- 12.Vivaan puts ₹15000 into a business for 8 months and Rohan puts ₹10000 for 7 months. The profit is ₹17860. What is Vivaan’s share (in ₹)?
- 13.Tara starts a business with ₹4000. After 5 months, Rahul joins with ₹17000. At the end of the year the profit is ₹78490. What is Tara’s share (in ₹)?
- 14.Zoya starts a business with ₹4000. After 3 months, Sneha joins with ₹8000. At the end of the year the profit is ₹1200. What is Zoya’s share (in ₹)?
- 15.Vivaan, Saanvi and Rohan invest ₹9000, ₹14000 and ₹20000 in a shop. The profit is ₹12900. What is Rohan’s share (in ₹)?
- 16.Zoya starts a business with ₹15000. After 7 months, Sneha joins with ₹4000. At the end of the year the profit is ₹1500. What is Zoya’s share (in ₹)?
- 17.Diya starts a business with ₹8000. After 6 months, Ananya joins with ₹4000. At the end of the year the profit is ₹4550. What is Diya’s share (in ₹)?
- 18.Karan and Nisha start a business with ₹13000 and ₹2000. They earn a profit of ₹9000. What is Nisha’s share (in ₹)?
- 19.Saanvi starts a business with ₹13000. After 4 months, Karan joins with ₹5000. At the end of the year the profit is ₹3430. What is Saanvi’s share (in ₹)?
- 20.Aditya, Saanvi and Priya invest ₹4000, ₹16000 and ₹4000 in a shop. The profit is ₹3000. What is Priya’s share (in ₹)?
- 21.Tara, Meera and Kavya invest ₹3000, ₹16000 and ₹14000 in a shop. The profit is ₹16500. What is Kavya’s share (in ₹)?
- 22.Ananya and Zoya start a business with ₹14000 and ₹7000. They earn a profit of ₹6000. What is Zoya’s share (in ₹)?
- 23.Rahul puts ₹18000 into a business for 8 months and Kabir puts ₹13000 for 4 months. The profit is ₹12250. What is Rahul’s share (in ₹)?
- 24.Vivaan, Meera and Kabir invest ₹19000, ₹5000 and ₹20000 in a shop. The profit is ₹44000. What is Kabir’s share (in ₹)?
- 25.Ishaan and Tara start a business with ₹17000 and ₹5000. They earn a profit of ₹26400. What is Tara’s share (in ₹)?
- 26.Saanvi puts ₹2000 into a business for 4 months and Karan puts ₹4000 for 4 months. The profit is ₹2190. What is Saanvi’s share (in ₹)?
- 27.Rohan and Aarav start a business with ₹3000 and ₹6000. They earn a profit of ₹4500. What is Aarav’s share (in ₹)?
- 28.Meera, Priya and Rohan invest ₹7000, ₹5000 and ₹16000 in a shop. The profit is ₹8400. What is Rohan’s share (in ₹)?
- 29.Rahul starts a business with ₹6000. After 7 months, Ishaan joins with ₹18000. At the end of the year the profit is ₹7470. What is Rahul’s share (in ₹)?
- 30.Aditya and Arjun start a business with ₹5000 and ₹4000. They earn a profit of ₹1800. What is Arjun’s share (in ₹)?
- 31.Aarav, Tara and Ananya invest ₹17000, ₹6000 and ₹16000 in a shop. The profit is ₹3900. What is Ananya’s share (in ₹)?
- 32.Arjun starts a business with ₹11000. After 2 months, Vivaan joins with ₹3000. At the end of the year the profit is ₹1890. What is Arjun’s share (in ₹)?
- 33.Kavya and Ananya start a business with ₹20000 and ₹16000. They earn a profit of ₹900. What is Ananya’s share (in ₹)?
- 34.Priya starts a business with ₹19000. After 3 months, Rohan joins with ₹2000. At the end of the year the profit is ₹41000. What is Priya’s share (in ₹)?
- 35.Rahul and Manav start a business with ₹9000 and ₹12000. They earn a profit of ₹5600. What is Manav’s share (in ₹)?
- 36.Vivaan, Farhan and Ishaan invest ₹5000, ₹3000 and ₹18000 in a shop. The profit is ₹23400. What is Ishaan’s share (in ₹)?
- 37.Vivaan puts ₹4000 into a business for 11 months and Manav puts ₹10000 for 9 months. The profit is ₹37520. What is Vivaan’s share (in ₹)?
- 38.Kabir puts ₹20000 into a business for 7 months and Karan puts ₹2000 for 7 months. The profit is ₹2640. What is Kabir’s share (in ₹)?
- 39.Arjun, Ishaan and Saanvi invest ₹14000, ₹13000 and ₹19000 in a shop. The profit is ₹23000. What is Saanvi’s share (in ₹)?
- 40.Farhan puts ₹13000 into a business for 10 months and Dev puts ₹4000 for 6 months. The profit is ₹43120. What is Farhan’s share (in ₹)?
Answer key
- 24570
- 35190
- 5600
- 2700
- 15300
- 13440
- 9240
- 9000
- 3600
- 5700
- 2500
- 11280
- 22560
- 480
- 6000
- 1350
- 3640
- 1200
- 2730
- 500
- 7000
- 2000
- 9000
- 20000
- 6000
- 730
- 3000
- 4800
- 3320
- 800
- 1600
- 1540
- 400
- 38000
- 3200
- 16200
- 12320
- 2400
- 9500
- 36400
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