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.Nisha starts a business with ₹7000. After 8 months, Aarav joins with ₹20000. At the end of the year the profit is ₹4920. What is Nisha’s share (in ₹)?
- 2.Arjun starts a business with ₹10000. After 7 months, Dev joins with ₹2000. At the end of the year the profit is ₹9620. What is Arjun’s share (in ₹)?
- 3.Pooja, Tara and Meera invest ₹7000, ₹10000 and ₹7000 in a shop. The profit is ₹14400. What is Meera’s share (in ₹)?
- 4.Ishaan puts ₹19000 into a business for 3 months and Aditya puts ₹2000 for 9 months. The profit is ₹13250. What is Ishaan’s share (in ₹)?
- 5.Priya puts ₹20000 into a business for 4 months and Arjun puts ₹16000 for 4 months. The profit is ₹3150. What is Priya’s share (in ₹)?
- 6.Kabir starts a business with ₹3000. After 2 months, Diya joins with ₹16000. At the end of the year the profit is ₹8820. What is Kabir’s share (in ₹)?
- 7.Saanvi and Nisha start a business with ₹17000 and ₹3000. They earn a profit of ₹8000. What is Nisha’s share (in ₹)?
- 8.Zoya puts ₹3000 into a business for 11 months and Nisha puts ₹12000 for 11 months. The profit is ₹2600. What is Zoya’s share (in ₹)?
- 9.Dev and Rahul start a business with ₹13000 and ₹14000. They earn a profit of ₹5400. What is Rahul’s share (in ₹)?
- 10.Kabir starts a business with ₹2000. After 9 months, Manav joins with ₹13000. At the end of the year the profit is ₹6090. What is Kabir’s share (in ₹)?
- 11.Rohan starts a business with ₹13000. After 3 months, Ananya joins with ₹18000. At the end of the year the profit is ₹45580. What is Rohan’s share (in ₹)?
- 12.Ishaan puts ₹4000 into a business for 6 months and Kabir puts ₹6000 for 6 months. The profit is ₹3700. What is Ishaan’s share (in ₹)?
- 13.Diya, Kavya and Nisha invest ₹18000, ₹11000 and ₹4000 in a shop. The profit is ₹3300. What is Nisha’s share (in ₹)?
- 14.Arjun and Tara start a business with ₹9000 and ₹6000. They earn a profit of ₹1500. What is Tara’s share (in ₹)?
- 15.Kavya and Diya start a business with ₹4000 and ₹13000. They earn a profit of ₹10200. What is Diya’s share (in ₹)?
- 16.Kavya, Diya and Rahul invest ₹15000, ₹14000 and ₹7000 in a shop. The profit is ₹28800. What is Rahul’s share (in ₹)?
- 17.Priya starts a business with ₹3000. After 3 months, Nisha joins with ₹4000. At the end of the year the profit is ₹420. What is Priya’s share (in ₹)?
- 18.Zoya starts a business with ₹15000. After 6 months, Dev joins with ₹6000. At the end of the year the profit is ₹1560. What is Zoya’s share (in ₹)?
- 19.Saanvi starts a business with ₹15000. After 2 months, Kabir joins with ₹16000. At the end of the year the profit is ₹5270. What is Saanvi’s share (in ₹)?
- 20.Kavya, Ishaan and Nisha invest ₹10000, ₹14000 and ₹2000 in a shop. The profit is ₹7800. What is Nisha’s share (in ₹)?
- 21.Ishaan, Saanvi and Kabir invest ₹9000, ₹20000 and ₹4000 in a shop. The profit is ₹16500. What is Kabir’s share (in ₹)?
- 22.Dev puts ₹19000 into a business for 4 months and Isha puts ₹20000 for 5 months. The profit is ₹36520. What is Dev’s share (in ₹)?
- 23.Ananya starts a business with ₹19000. After 3 months, Arjun joins with ₹15000. At the end of the year the profit is ₹38720. What is Ananya’s share (in ₹)?
- 24.Zoya puts ₹5000 into a business for 9 months and Tara puts ₹11000 for 4 months. The profit is ₹13350. What is Zoya’s share (in ₹)?
- 25.Dev puts ₹9000 into a business for 4 months and Diya puts ₹17000 for 12 months. The profit is ₹18200. What is Dev’s share (in ₹)?
- 26.Manav and Aditya start a business with ₹7000 and ₹3000. They earn a profit of ₹16000. What is Aditya’s share (in ₹)?
- 27.Rohan starts a business with ₹17000. After 8 months, Diya joins with ₹18000. At the end of the year the profit is ₹19780. What is Rohan’s share (in ₹)?
- 28.Aditya starts a business with ₹11000. After 4 months, Isha joins with ₹20000. At the end of the year the profit is ₹68620. What is Aditya’s share (in ₹)?
- 29.Kavya and Kabir start a business with ₹20000 and ₹15000. They earn a profit of ₹9800. What is Kabir’s share (in ₹)?
- 30.Ishaan puts ₹14000 into a business for 6 months and Isha puts ₹6000 for 6 months. The profit is ₹2100. What is Ishaan’s share (in ₹)?
- 31.Rahul starts a business with ₹7000. After 9 months, Vivaan joins with ₹17000. At the end of the year the profit is ₹19350. What is Rahul’s share (in ₹)?
- 32.Vivaan and Sneha start a business with ₹7000 and ₹5000. They earn a profit of ₹4800. What is Sneha’s share (in ₹)?
- 33.Arjun, Manav and Kabir invest ₹6000, ₹10000 and ₹19000 in a shop. The profit is ₹35000. What is Kabir’s share (in ₹)?
- 34.Nisha and Rahul start a business with ₹7000 and ₹9000. They earn a profit of ₹27200. What is Rahul’s share (in ₹)?
- 35.Priya puts ₹2000 into a business for 10 months and Kabir puts ₹6000 for 3 months. The profit is ₹4940. What is Priya’s share (in ₹)?
- 36.Ishaan, Aditya and Meera invest ₹15000, ₹19000 and ₹5000 in a shop. The profit is ₹3900. What is Meera’s share (in ₹)?
- 37.Kavya, Meera and Rohan invest ₹4000, ₹17000 and ₹5000 in a shop. The profit is ₹26000. What is Rohan’s share (in ₹)?
- 38.Rahul and Kabir start a business with ₹12000 and ₹15000. They earn a profit of ₹2700. What is Kabir’s share (in ₹)?
- 39.Nisha and Meera start a business with ₹10000 and ₹6000. They earn a profit of ₹5600. What is Meera’s share (in ₹)?
- 40.Rahul and Rohan start a business with ₹5000 and ₹12000. They earn a profit of ₹6800. What is Rohan’s share (in ₹)?
Answer key
- 2520
- 8880
- 4200
- 10070
- 1750
- 1620
- 1200
- 520
- 2800
- 2320
- 22360
- 1480
- 400
- 600
- 7800
- 5600
- 210
- 1300
- 2790
- 600
- 2000
- 15770
- 24320
- 6750
- 2730
- 4800
- 14620
- 31020
- 4200
- 1470
- 12040
- 2000
- 19000
- 15300
- 2600
- 500
- 5000
- 1500
- 2100
- 4800
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