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.Rahul starts a business with ₹11000. After 7 months, Karan joins with ₹4000. At the end of the year the profit is ₹34580. What is Rahul’s share (in ₹)?
- 2.Aditya puts ₹17000 into a business for 5 months and Zoya puts ₹5000 for 4 months. The profit is ₹8190. What is Aditya’s share (in ₹)?
- 3.Karan and Vivaan start a business with ₹4000 and ₹6000. They earn a profit of ₹1500. What is Vivaan’s share (in ₹)?
- 4.Aarav and Isha start a business with ₹20000 and ₹3000. They earn a profit of ₹11500. What is Isha’s share (in ₹)?
- 5.Ishaan starts a business with ₹4000. After 5 months, Tara joins with ₹10000. At the end of the year the profit is ₹29500. What is Ishaan’s share (in ₹)?
- 6.Priya and Sneha start a business with ₹7000 and ₹8000. They earn a profit of ₹6000. What is Sneha’s share (in ₹)?
- 7.Aarav, Tara and Dev invest ₹2000, ₹5000 and ₹18000 in a shop. The profit is ₹10000. What is Dev’s share (in ₹)?
- 8.Kavya puts ₹3000 into a business for 11 months and Meera puts ₹5000 for 7 months. The profit is ₹24480. What is Kavya’s share (in ₹)?
- 9.Isha and Nisha start a business with ₹7000 and ₹20000. They earn a profit of ₹10800. What is Nisha’s share (in ₹)?
- 10.Farhan and Ananya start a business with ₹13000 and ₹19000. They earn a profit of ₹22400. What is Ananya’s share (in ₹)?
- 11.Kabir, Diya and Saanvi invest ₹18000, ₹5000 and ₹14000 in a shop. The profit is ₹25900. What is Saanvi’s share (in ₹)?
- 12.Farhan and Ishaan start a business with ₹9000 and ₹2000. They earn a profit of ₹7700. What is Ishaan’s share (in ₹)?
- 13.Aarav and Saanvi start a business with ₹2000 and ₹12000. They earn a profit of ₹8400. What is Saanvi’s share (in ₹)?
- 14.Priya and Farhan start a business with ₹15000 and ₹6000. They earn a profit of ₹5600. What is Farhan’s share (in ₹)?
- 15.Rohan and Zoya start a business with ₹2000 and ₹19000. They earn a profit of ₹4200. What is Zoya’s share (in ₹)?
- 16.Manav starts a business with ₹5000. After 8 months, Ananya joins with ₹3000. At the end of the year the profit is ₹5940. What is Manav’s share (in ₹)?
- 17.Dev and Arjun start a business with ₹14000 and ₹4000. They earn a profit of ₹13500. What is Arjun’s share (in ₹)?
- 18.Ishaan puts ₹6000 into a business for 12 months and Dev puts ₹15000 for 11 months. The profit is ₹21330. What is Ishaan’s share (in ₹)?
- 19.Meera, Vivaan and Arjun invest ₹14000, ₹4000 and ₹10000 in a shop. The profit is ₹5600. What is Arjun’s share (in ₹)?
- 20.Sneha puts ₹8000 into a business for 4 months and Rohan puts ₹3000 for 9 months. The profit is ₹25370. What is Sneha’s share (in ₹)?
- 21.Kavya and Aarav start a business with ₹5000 and ₹13000. They earn a profit of ₹36000. What is Aarav’s share (in ₹)?
- 22.Rahul starts a business with ₹15000. After 5 months, Sneha joins with ₹3000. At the end of the year the profit is ₹61640. What is Rahul’s share (in ₹)?
- 23.Nisha and Zoya start a business with ₹15000 and ₹14000. They earn a profit of ₹31900. What is Zoya’s share (in ₹)?
- 24.Priya starts a business with ₹9000. After 2 months, Ananya joins with ₹6000. At the end of the year the profit is ₹1960. What is Priya’s share (in ₹)?
- 25.Ananya, Diya and Kabir invest ₹10000, ₹15000 and ₹20000 in a shop. The profit is ₹7200. What is Kabir’s share (in ₹)?
- 26.Dev starts a business with ₹12000. After 8 months, Priya joins with ₹19000. At the end of the year the profit is ₹39600. What is Dev’s share (in ₹)?
- 27.Ananya puts ₹15000 into a business for 6 months and Isha puts ₹6000 for 3 months. The profit is ₹420. What is Ananya’s share (in ₹)?
- 28.Manav puts ₹16000 into a business for 6 months and Aditya puts ₹19000 for 11 months. The profit is ₹170800. What is Manav’s share (in ₹)?
- 29.Aditya puts ₹3000 into a business for 6 months and Priya puts ₹12000 for 7 months. The profit is ₹8330. What is Aditya’s share (in ₹)?
- 30.Vivaan and Nisha start a business with ₹10000 and ₹15000. They earn a profit of ₹8000. What is Nisha’s share (in ₹)?
- 31.Aarav puts ₹3000 into a business for 10 months and Priya puts ₹12000 for 11 months. The profit is ₹2970. What is Aarav’s share (in ₹)?
- 32.Pooja starts a business with ₹19000. After 4 months, Ananya joins with ₹12000. At the end of the year the profit is ₹9450. What is Pooja’s share (in ₹)?
- 33.Rahul starts a business with ₹2000. After 2 months, Diya joins with ₹10000. At the end of the year the profit is ₹2480. What is Rahul’s share (in ₹)?
- 34.Arjun starts a business with ₹6000. After 8 months, Pooja joins with ₹20000. At the end of the year the profit is ₹7980. What is Arjun’s share (in ₹)?
- 35.Dev and Rohan start a business with ₹20000 and ₹17000. They earn a profit of ₹59200. What is Rohan’s share (in ₹)?
- 36.Dev starts a business with ₹5000. After 2 months, Nisha joins with ₹11000. At the end of the year the profit is ₹14110. What is Dev’s share (in ₹)?
- 37.Karan and Dev start a business with ₹8000 and ₹2000. They earn a profit of ₹5000. What is Dev’s share (in ₹)?
- 38.Ananya and Rahul start a business with ₹10000 and ₹5000. They earn a profit of ₹5100. What is Rahul’s share (in ₹)?
- 39.Diya, Dev and Farhan invest ₹18000, ₹5000 and ₹17000 in a shop. The profit is ₹40000. What is Farhan’s share (in ₹)?
- 40.Meera, Rahul and Karan invest ₹14000, ₹17000 and ₹14000 in a shop. The profit is ₹27000. What is Karan’s share (in ₹)?
Answer key
- 30030
- 6630
- 900
- 1500
- 12000
- 3200
- 7200
- 11880
- 8000
- 13300
- 9800
- 1400
- 7200
- 1600
- 3800
- 4950
- 3000
- 6480
- 2000
- 13760
- 26000
- 55200
- 15400
- 1260
- 3200
- 25920
- 350
- 53760
- 1470
- 4800
- 550
- 6650
- 480
- 3780
- 27200
- 4980
- 1000
- 1700
- 17000
- 8400
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