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.Karan starts a business with ₹4000. After 2 months, Ishaan joins with ₹3000. At the end of the year the profit is ₹3510. What is Karan’s share (in ₹)?
- 2.Farhan starts a business with ₹16000. After 5 months, Ananya joins with ₹15000. At the end of the year the profit is ₹67320. What is Farhan’s share (in ₹)?
- 3.Kabir and Tara start a business with ₹18000 and ₹12000. They earn a profit of ₹4500. What is Tara’s share (in ₹)?
- 4.Sneha starts a business with ₹17000. After 5 months, Tara joins with ₹8000. At the end of the year the profit is ₹18850. What is Sneha’s share (in ₹)?
- 5.Zoya starts a business with ₹3000. After 7 months, Manav joins with ₹17000. At the end of the year the profit is ₹102850. What is Zoya’s share (in ₹)?
- 6.Saanvi and Karan start a business with ₹11000 and ₹20000. They earn a profit of ₹21700. What is Karan’s share (in ₹)?
- 7.Pooja puts ₹3000 into a business for 6 months and Tara puts ₹14000 for 4 months. The profit is ₹16650. What is Pooja’s share (in ₹)?
- 8.Diya puts ₹8000 into a business for 7 months and Rohan puts ₹17000 for 5 months. The profit is ₹133950. What is Diya’s share (in ₹)?
- 9.Rahul starts a business with ₹15000. After 5 months, Tara joins with ₹7000. At the end of the year the profit is ₹105340. What is Rahul’s share (in ₹)?
- 10.Rahul and Kabir start a business with ₹19000 and ₹4000. They earn a profit of ₹18400. What is Kabir’s share (in ₹)?
- 11.Priya, Vivaan and Sneha invest ₹4000, ₹19000 and ₹15000 in a shop. The profit is ₹38000. What is Sneha’s share (in ₹)?
- 12.Rahul, Ishaan and Meera invest ₹15000, ₹13000 and ₹10000 in a shop. The profit is ₹38000. What is Meera’s share (in ₹)?
- 13.Farhan and Saanvi start a business with ₹13000 and ₹10000. They earn a profit of ₹9200. What is Saanvi’s share (in ₹)?
- 14.Karan starts a business with ₹9000. After 8 months, Meera joins with ₹19000. At the end of the year the profit is ₹25300. What is Karan’s share (in ₹)?
- 15.Pooja starts a business with ₹6000. After 7 months, Aarav joins with ₹10000. At the end of the year the profit is ₹12200. What is Pooja’s share (in ₹)?
- 16.Vivaan, Ananya and Sneha invest ₹6000, ₹4000 and ₹4000 in a shop. The profit is ₹5600. What is Sneha’s share (in ₹)?
- 17.Priya puts ₹20000 into a business for 5 months and Diya puts ₹5000 for 5 months. The profit is ₹3500. What is Priya’s share (in ₹)?
- 18.Arjun, Farhan and Vivaan invest ₹2000, ₹15000 and ₹9000 in a shop. The profit is ₹10400. What is Vivaan’s share (in ₹)?
- 19.Ishaan starts a business with ₹6000. After 8 months, Dev joins with ₹3000. At the end of the year the profit is ₹490. What is Ishaan’s share (in ₹)?
- 20.Tara, Arjun and Pooja invest ₹6000, ₹3000 and ₹15000 in a shop. The profit is ₹800. What is Pooja’s share (in ₹)?
- 21.Aarav puts ₹4000 into a business for 12 months and Kavya puts ₹5000 for 9 months. The profit is ₹8370. What is Aarav’s share (in ₹)?
- 22.Rohan puts ₹11000 into a business for 7 months and Saanvi puts ₹12000 for 10 months. The profit is ₹78800. What is Rohan’s share (in ₹)?
- 23.Meera puts ₹13000 into a business for 9 months and Nisha puts ₹18000 for 5 months. The profit is ₹9200. What is Meera’s share (in ₹)?
- 24.Dev starts a business with ₹15000. After 4 months, Nisha joins with ₹13000. At the end of the year the profit is ₹57510. What is Dev’s share (in ₹)?
- 25.Ananya starts a business with ₹2000. After 6 months, Kabir joins with ₹19000. At the end of the year the profit is ₹11730. What is Ananya’s share (in ₹)?
- 26.Aarav puts ₹17000 into a business for 12 months and Meera puts ₹10000 for 3 months. The profit is ₹16770. What is Aarav’s share (in ₹)?
- 27.Manav, Zoya and Priya invest ₹3000, ₹9000 and ₹13000 in a shop. The profit is ₹7500. What is Priya’s share (in ₹)?
- 28.Nisha starts a business with ₹16000. After 6 months, Meera joins with ₹2000. At the end of the year the profit is ₹5610. What is Nisha’s share (in ₹)?
- 29.Dev and Aditya start a business with ₹8000 and ₹12000. They earn a profit of ₹5500. What is Aditya’s share (in ₹)?
- 30.Ananya puts ₹4000 into a business for 11 months and Diya puts ₹7000 for 7 months. The profit is ₹87420. What is Ananya’s share (in ₹)?
- 31.Manav puts ₹16000 into a business for 3 months and Saanvi puts ₹3000 for 9 months. The profit is ₹16500. What is Manav’s share (in ₹)?
- 32.Karan and Ananya start a business with ₹20000 and ₹16000. They earn a profit of ₹15300. What is Ananya’s share (in ₹)?
- 33.Priya starts a business with ₹19000. After 9 months, Kavya joins with ₹14000. At the end of the year the profit is ₹18450. What is Priya’s share (in ₹)?
- 34.Ishaan, Aditya and Kavya invest ₹14000, ₹6000 and ₹5000 in a shop. The profit is ₹7500. What is Kavya’s share (in ₹)?
- 35.Tara starts a business with ₹2000. After 8 months, Manav joins with ₹4000. At the end of the year the profit is ₹4800. What is Tara’s share (in ₹)?
- 36.Meera puts ₹11000 into a business for 5 months and Kabir puts ₹6000 for 5 months. The profit is ₹2720. What is Meera’s share (in ₹)?
- 37.Zoya, Kavya and Vivaan invest ₹5000, ₹13000 and ₹19000 in a shop. The profit is ₹29600. What is Vivaan’s share (in ₹)?
- 38.Vivaan puts ₹14000 into a business for 10 months and Rahul puts ₹9000 for 6 months. The profit is ₹14550. What is Vivaan’s share (in ₹)?
- 39.Priya starts a business with ₹3000. After 8 months, Kabir joins with ₹18000. At the end of the year the profit is ₹1770. What is Priya’s share (in ₹)?
- 40.Arjun and Karan start a business with ₹7000 and ₹11000. They earn a profit of ₹19800. What is Karan’s share (in ₹)?
Answer key
- 2160
- 43520
- 1800
- 14790
- 30600
- 14000
- 4050
- 53200
- 82800
- 3200
- 15000
- 10000
- 4000
- 14850
- 7200
- 1600
- 2800
- 3600
- 420
- 500
- 4320
- 30800
- 5200
- 36450
- 2040
- 14620
- 3900
- 5280
- 3300
- 41360
- 10560
- 6800
- 15580
- 1500
- 2880
- 1760
- 15200
- 10500
- 590
- 12100
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