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.Kabir starts a business with ₹11000. After 2 months, Nisha joins with ₹20000. At the end of the year the profit is ₹45650. What is Kabir’s share (in ₹)?
- 2.Aarav starts a business with ₹6000. After 9 months, Ananya joins with ₹16000. At the end of the year the profit is ₹1350. What is Aarav’s share (in ₹)?
- 3.Aditya puts ₹12000 into a business for 4 months and Pooja puts ₹11000 for 11 months. The profit is ₹21970. What is Aditya’s share (in ₹)?
- 4.Tara puts ₹20000 into a business for 3 months and Sneha puts ₹9000 for 4 months. The profit is ₹5760. What is Tara’s share (in ₹)?
- 5.Kabir, Tara and Dev invest ₹5000, ₹3000 and ₹19000 in a shop. The profit is ₹5400. What is Dev’s share (in ₹)?
- 6.Ananya, Farhan and Manav invest ₹6000, ₹10000 and ₹5000 in a shop. The profit is ₹21000. What is Manav’s share (in ₹)?
- 7.Vivaan and Meera start a business with ₹10000 and ₹3000. They earn a profit of ₹11700. What is Meera’s share (in ₹)?
- 8.Ananya, Aditya and Ishaan invest ₹5000, ₹2000 and ₹17000 in a shop. The profit is ₹16800. What is Ishaan’s share (in ₹)?
- 9.Rohan starts a business with ₹8000. After 6 months, Ananya joins with ₹5000. At the end of the year the profit is ₹3150. What is Rohan’s share (in ₹)?
- 10.Rahul starts a business with ₹15000. After 3 months, Saanvi joins with ₹10000. At the end of the year the profit is ₹780. What is Rahul’s share (in ₹)?
- 11.Farhan, Vivaan and Aarav invest ₹3000, ₹2000 and ₹8000 in a shop. The profit is ₹11700. What is Aarav’s share (in ₹)?
- 12.Ananya, Tara and Isha invest ₹4000, ₹19000 and ₹7000 in a shop. The profit is ₹21000. What is Isha’s share (in ₹)?
- 13.Diya starts a business with ₹11000. After 5 months, Manav joins with ₹8000. At the end of the year the profit is ₹43240. What is Diya’s share (in ₹)?
- 14.Kabir puts ₹13000 into a business for 4 months and Rohan puts ₹16000 for 8 months. The profit is ₹3150. What is Kabir’s share (in ₹)?
- 15.Isha and Nisha start a business with ₹3000 and ₹20000. They earn a profit of ₹46000. What is Nisha’s share (in ₹)?
- 16.Tara and Meera start a business with ₹20000 and ₹5000. They earn a profit of ₹5000. What is Meera’s share (in ₹)?
- 17.Sneha starts a business with ₹15000. After 8 months, Ishaan joins with ₹13000. At the end of the year the profit is ₹6960. What is Sneha’s share (in ₹)?
- 18.Ananya starts a business with ₹15000. After 5 months, Vivaan joins with ₹16000. At the end of the year the profit is ₹44530. What is Ananya’s share (in ₹)?
- 19.Zoya starts a business with ₹3000. After 9 months, Kabir joins with ₹4000. At the end of the year the profit is ₹3800. What is Zoya’s share (in ₹)?
- 20.Farhan, Dev and Isha invest ₹10000, ₹15000 and ₹11000 in a shop. The profit is ₹7200. What is Isha’s share (in ₹)?
- 21.Diya starts a business with ₹20000. After 6 months, Rohan joins with ₹7000. At the end of the year the profit is ₹25380. What is Diya’s share (in ₹)?
- 22.Kavya and Priya start a business with ₹13000 and ₹14000. They earn a profit of ₹43200. What is Priya’s share (in ₹)?
- 23.Sneha starts a business with ₹6000. After 2 months, Kavya joins with ₹13000. At the end of the year the profit is ₹67670. What is Sneha’s share (in ₹)?
- 24.Sneha and Aditya start a business with ₹19000 and ₹17000. They earn a profit of ₹28800. What is Aditya’s share (in ₹)?
- 25.Tara, Ishaan and Isha invest ₹17000, ₹9000 and ₹7000 in a shop. The profit is ₹6600. What is Isha’s share (in ₹)?
- 26.Ishaan puts ₹17000 into a business for 8 months and Meera puts ₹7000 for 4 months. The profit is ₹29930. What is Ishaan’s share (in ₹)?
- 27.Tara starts a business with ₹18000. After 9 months, Pooja joins with ₹2000. At the end of the year the profit is ₹28490. What is Tara’s share (in ₹)?
- 28.Arjun and Karan start a business with ₹3000 and ₹17000. They earn a profit of ₹16000. What is Karan’s share (in ₹)?
- 29.Vivaan puts ₹14000 into a business for 6 months and Manav puts ₹15000 for 3 months. The profit is ₹28380. What is Vivaan’s share (in ₹)?
- 30.Tara starts a business with ₹20000. After 3 months, Arjun joins with ₹5000. At the end of the year the profit is ₹16340. What is Tara’s share (in ₹)?
- 31.Aditya, Zoya and Kavya invest ₹18000, ₹17000 and ₹17000 in a shop. The profit is ₹36400. What is Kavya’s share (in ₹)?
- 32.Dev puts ₹8000 into a business for 10 months and Sneha puts ₹19000 for 3 months. The profit is ₹120560. What is Dev’s share (in ₹)?
- 33.Aditya puts ₹15000 into a business for 7 months and Karan puts ₹4000 for 8 months. The profit is ₹80830. What is Aditya’s share (in ₹)?
- 34.Dev, Kavya and Arjun invest ₹8000, ₹5000 and ₹12000 in a shop. The profit is ₹10000. What is Arjun’s share (in ₹)?
- 35.Ishaan puts ₹3000 into a business for 4 months and Dev puts ₹17000 for 6 months. The profit is ₹4750. What is Ishaan’s share (in ₹)?
- 36.Ananya puts ₹13000 into a business for 6 months and Aarav puts ₹14000 for 5 months. The profit is ₹31820. What is Ananya’s share (in ₹)?
- 37.Kabir puts ₹6000 into a business for 11 months and Farhan puts ₹11000 for 5 months. The profit is ₹10890. What is Kabir’s share (in ₹)?
- 38.Saanvi puts ₹14000 into a business for 6 months and Aditya puts ₹10000 for 3 months. The profit is ₹8550. What is Saanvi’s share (in ₹)?
- 39.Kavya puts ₹17000 into a business for 9 months and Rohan puts ₹15000 for 9 months. The profit is ₹5760. What is Kavya’s share (in ₹)?
- 40.Kavya and Rahul start a business with ₹7000 and ₹14000. They earn a profit of ₹5100. What is Rahul’s share (in ₹)?
Answer key
- 18150
- 810
- 6240
- 3600
- 3800
- 5000
- 2700
- 11900
- 2400
- 520
- 7200
- 4900
- 30360
- 910
- 40000
- 1000
- 5400
- 27450
- 2850
- 2200
- 21600
- 22400
- 24120
- 13600
- 1400
- 24820
- 27720
- 13600
- 18480
- 13760
- 11900
- 70400
- 61950
- 4800
- 500
- 16770
- 5940
- 6300
- 3060
- 3400
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