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.Aarav starts a business with ₹17000. After 3 months, Zoya joins with ₹7000. At the end of the year the profit is ₹74760. What is Aarav’s share (in ₹)?
- 2.Arjun starts a business with ₹12000. After 2 months, Ishaan joins with ₹3000. At the end of the year the profit is ₹24940. What is Arjun’s share (in ₹)?
- 3.Aarav, Zoya and Sneha invest ₹3000, ₹16000 and ₹20000 in a shop. The profit is ₹35100. What is Sneha’s share (in ₹)?
- 4.Ananya and Ishaan start a business with ₹18000 and ₹4000. They earn a profit of ₹14300. What is Ishaan’s share (in ₹)?
- 5.Isha puts ₹5000 into a business for 8 months and Arjun puts ₹17000 for 9 months. The profit is ₹75270. What is Isha’s share (in ₹)?
- 6.Vivaan and Karan start a business with ₹6000 and ₹9000. They earn a profit of ₹3000. What is Karan’s share (in ₹)?
- 7.Rahul starts a business with ₹3000. After 5 months, Pooja joins with ₹9000. At the end of the year the profit is ₹6490. What is Rahul’s share (in ₹)?
- 8.Diya, Tara and Dev invest ₹8000, ₹3000 and ₹13000 in a shop. The profit is ₹21600. What is Dev’s share (in ₹)?
- 9.Saanvi and Kabir start a business with ₹15000 and ₹9000. They earn a profit of ₹9600. What is Kabir’s share (in ₹)?
- 10.Manav, Sneha and Ishaan invest ₹5000, ₹11000 and ₹18000 in a shop. The profit is ₹27200. What is Ishaan’s share (in ₹)?
- 11.Arjun, Ananya and Tara invest ₹5000, ₹4000 and ₹13000 in a shop. The profit is ₹6600. What is Tara’s share (in ₹)?
- 12.Vivaan starts a business with ₹19000. After 7 months, Aarav joins with ₹10000. At the end of the year the profit is ₹86180. What is Vivaan’s share (in ₹)?
- 13.Manav and Dev start a business with ₹14000 and ₹16000. They earn a profit of ₹25500. What is Dev’s share (in ₹)?
- 14.Rohan, Ishaan and Arjun invest ₹2000, ₹4000 and ₹18000 in a shop. The profit is ₹8400. What is Arjun’s share (in ₹)?
- 15.Rohan starts a business with ₹16000. After 8 months, Meera joins with ₹20000. At the end of the year the profit is ₹2890. What is Rohan’s share (in ₹)?
- 16.Saanvi puts ₹13000 into a business for 6 months and Priya puts ₹19000 for 9 months. The profit is ₹62250. What is Saanvi’s share (in ₹)?
- 17.Kavya, Saanvi and Isha invest ₹14000, ₹6000 and ₹17000 in a shop. The profit is ₹33300. What is Isha’s share (in ₹)?
- 18.Meera starts a business with ₹10000. After 3 months, Ishaan joins with ₹2000. At the end of the year the profit is ₹11960. What is Meera’s share (in ₹)?
- 19.Rohan puts ₹5000 into a business for 12 months and Ishaan puts ₹7000 for 10 months. The profit is ₹8580. What is Rohan’s share (in ₹)?
- 20.Aarav, Dev and Diya invest ₹3000, ₹20000 and ₹14000 in a shop. The profit is ₹25900. What is Diya’s share (in ₹)?
- 21.Karan and Rahul start a business with ₹9000 and ₹11000. They earn a profit of ₹28000. What is Rahul’s share (in ₹)?
- 22.Aarav and Nisha start a business with ₹17000 and ₹16000. They earn a profit of ₹19800. What is Nisha’s share (in ₹)?
- 23.Aditya and Meera start a business with ₹16000 and ₹20000. They earn a profit of ₹17100. What is Meera’s share (in ₹)?
- 24.Tara puts ₹11000 into a business for 12 months and Sneha puts ₹3000 for 8 months. The profit is ₹10920. What is Tara’s share (in ₹)?
- 25.Vivaan, Karan and Isha invest ₹4000, ₹16000 and ₹4000 in a shop. The profit is ₹3000. What is Isha’s share (in ₹)?
- 26.Arjun puts ₹2000 into a business for 11 months and Vivaan puts ₹19000 for 3 months. The profit is ₹22910. What is Arjun’s share (in ₹)?
- 27.Arjun, Saanvi and Diya invest ₹18000, ₹3000 and ₹19000 in a shop. The profit is ₹28000. What is Diya’s share (in ₹)?
- 28.Rohan and Kabir start a business with ₹16000 and ₹2000. They earn a profit of ₹900. What is Kabir’s share (in ₹)?
- 29.Aditya, Pooja and Ananya invest ₹13000, ₹17000 and ₹3000 in a shop. The profit is ₹23100. What is Ananya’s share (in ₹)?
- 30.Karan puts ₹18000 into a business for 3 months and Ishaan puts ₹4000 for 4 months. The profit is ₹5250. What is Karan’s share (in ₹)?
- 31.Aarav starts a business with ₹13000. After 6 months, Rohan joins with ₹10000. At the end of the year the profit is ₹2700. What is Aarav’s share (in ₹)?
- 32.Rahul puts ₹8000 into a business for 7 months and Meera puts ₹15000 for 8 months. The profit is ₹2200. What is Rahul’s share (in ₹)?
- 33.Ishaan puts ₹13000 into a business for 4 months and Aditya puts ₹19000 for 4 months. The profit is ₹15680. What is Ishaan’s share (in ₹)?
- 34.Rohan starts a business with ₹13000. After 8 months, Sneha joins with ₹5000. At the end of the year the profit is ₹12760. What is Rohan’s share (in ₹)?
- 35.Karan starts a business with ₹19000. After 2 months, Saanvi joins with ₹15000. At the end of the year the profit is ₹8190. What is Karan’s share (in ₹)?
- 36.Aarav puts ₹17000 into a business for 3 months and Arjun puts ₹3000 for 11 months. The profit is ₹22120. What is Aarav’s share (in ₹)?
- 37.Isha starts a business with ₹6000. After 4 months, Arjun joins with ₹20000. At the end of the year the profit is ₹4930. What is Isha’s share (in ₹)?
- 38.Farhan, Rohan and Sneha invest ₹7000, ₹20000 and ₹7000 in a shop. The profit is ₹23800. What is Sneha’s share (in ₹)?
- 39.Priya and Arjun start a business with ₹12000 and ₹5000. They earn a profit of ₹25500. What is Arjun’s share (in ₹)?
- 40.Kavya starts a business with ₹12000. After 5 months, Karan joins with ₹16000. At the end of the year the profit is ₹13760. What is Kavya’s share (in ₹)?
Answer key
- 57120
- 20640
- 18000
- 2600
- 15600
- 1800
- 2360
- 11700
- 3600
- 14400
- 3900
- 70680
- 13600
- 6300
- 2040
- 19500
- 15300
- 10400
- 3960
- 9800
- 15400
- 9600
- 9500
- 9240
- 500
- 6380
- 13300
- 100
- 2100
- 4050
- 1950
- 700
- 6370
- 11310
- 4940
- 13430
- 1530
- 4900
- 7500
- 7740
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