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 ₹16000. After 9 months, Sneha joins with ₹3000. At the end of the year the profit is ₹57620. What is Kabir’s share (in ₹)?
- 2.Tara puts ₹2000 into a business for 7 months and Isha puts ₹9000 for 4 months. The profit is ₹6500. What is Tara’s share (in ₹)?
- 3.Sneha, Aditya and Rohan invest ₹14000, ₹5000 and ₹9000 in a shop. The profit is ₹5600. What is Rohan’s share (in ₹)?
- 4.Priya starts a business with ₹12000. After 4 months, Farhan joins with ₹17000. At the end of the year the profit is ₹24150. What is Priya’s share (in ₹)?
- 5.Ishaan and Rahul start a business with ₹16000 and ₹11000. They earn a profit of ₹13500. What is Rahul’s share (in ₹)?
- 6.Saanvi, Kavya and Sneha invest ₹2000, ₹11000 and ₹4000 in a shop. The profit is ₹8500. What is Sneha’s share (in ₹)?
- 7.Arjun starts a business with ₹16000. After 4 months, Zoya joins with ₹3000. At the end of the year the profit is ₹5940. What is Arjun’s share (in ₹)?
- 8.Pooja starts a business with ₹20000. After 9 months, Meera joins with ₹17000. At the end of the year the profit is ₹11640. What is Pooja’s share (in ₹)?
- 9.Rohan, Diya and Ananya invest ₹2000, ₹13000 and ₹7000 in a shop. The profit is ₹17600. What is Ananya’s share (in ₹)?
- 10.Nisha and Manav start a business with ₹2000 and ₹9000. They earn a profit of ₹19800. What is Manav’s share (in ₹)?
- 11.Diya starts a business with ₹6000. After 4 months, Pooja joins with ₹15000. At the end of the year the profit is ₹480. What is Diya’s share (in ₹)?
- 12.Pooja puts ₹4000 into a business for 7 months and Diya puts ₹16000 for 8 months. The profit is ₹6630. What is Pooja’s share (in ₹)?
- 13.Aarav starts a business with ₹16000. After 3 months, Tara joins with ₹8000. At the end of the year the profit is ₹3740. What is Aarav’s share (in ₹)?
- 14.Kabir starts a business with ₹6000. After 5 months, Meera joins with ₹4000. At the end of the year the profit is ₹9000. What is Kabir’s share (in ₹)?
- 15.Ananya starts a business with ₹16000. After 4 months, Kabir joins with ₹6000. At the end of the year the profit is ₹1600. What is Ananya’s share (in ₹)?
- 16.Sneha puts ₹20000 into a business for 4 months and Saanvi puts ₹10000 for 7 months. The profit is ₹7500. What is Sneha’s share (in ₹)?
- 17.Rohan and Sneha start a business with ₹11000 and ₹13000. They earn a profit of ₹26400. What is Sneha’s share (in ₹)?
- 18.Tara and Isha start a business with ₹2000 and ₹12000. They earn a profit of ₹5600. What is Isha’s share (in ₹)?
- 19.Arjun, Ishaan and Ananya invest ₹8000, ₹13000 and ₹2000 in a shop. The profit is ₹2300. What is Ananya’s share (in ₹)?
- 20.Dev puts ₹16000 into a business for 5 months and Ishaan puts ₹2000 for 6 months. The profit is ₹2300. What is Dev’s share (in ₹)?
- 21.Karan and Ishaan start a business with ₹3000 and ₹11000. They earn a profit of ₹15400. What is Ishaan’s share (in ₹)?
- 22.Saanvi, Ananya and Zoya invest ₹15000, ₹19000 and ₹16000 in a shop. The profit is ₹20000. What is Zoya’s share (in ₹)?
- 23.Kabir puts ₹8000 into a business for 11 months and Farhan puts ₹15000 for 11 months. The profit is ₹14720. What is Kabir’s share (in ₹)?
- 24.Manav and Rahul start a business with ₹17000 and ₹18000. They earn a profit of ₹28000. What is Rahul’s share (in ₹)?
- 25.Farhan puts ₹2000 into a business for 10 months and Aarav puts ₹9000 for 9 months. The profit is ₹11110. What is Farhan’s share (in ₹)?
- 26.Rohan and Vivaan start a business with ₹11000 and ₹16000. They earn a profit of ₹27000. What is Vivaan’s share (in ₹)?
- 27.Ishaan starts a business with ₹19000. After 4 months, Isha joins with ₹14000. At the end of the year the profit is ₹47600. What is Ishaan’s share (in ₹)?
- 28.Farhan puts ₹4000 into a business for 5 months and Aarav puts ₹12000 for 4 months. The profit is ₹16320. What is Farhan’s share (in ₹)?
- 29.Nisha and Sneha start a business with ₹15000 and ₹20000. They earn a profit of ₹14000. What is Sneha’s share (in ₹)?
- 30.Isha and Karan start a business with ₹16000 and ₹6000. They earn a profit of ₹18700. What is Karan’s share (in ₹)?
- 31.Farhan, Kabir and Vivaan invest ₹4000, ₹7000 and ₹2000 in a shop. The profit is ₹1300. What is Vivaan’s share (in ₹)?
- 32.Aarav starts a business with ₹3000. After 2 months, Zoya joins with ₹4000. At the end of the year the profit is ₹5890. What is Aarav’s share (in ₹)?
- 33.Ananya and Sneha start a business with ₹13000 and ₹19000. They earn a profit of ₹9600. What is Sneha’s share (in ₹)?
- 34.Nisha starts a business with ₹19000. After 9 months, Isha joins with ₹6000. At the end of the year the profit is ₹22140. What is Nisha’s share (in ₹)?
- 35.Kavya and Arjun start a business with ₹3000 and ₹19000. They earn a profit of ₹28600. What is Arjun’s share (in ₹)?
- 36.Zoya puts ₹4000 into a business for 8 months and Farhan puts ₹2000 for 6 months. The profit is ₹1210. What is Zoya’s share (in ₹)?
- 37.Saanvi and Aditya start a business with ₹4000 and ₹8000. They earn a profit of ₹4500. What is Aditya’s share (in ₹)?
- 38.Pooja puts ₹5000 into a business for 4 months and Rahul puts ₹6000 for 9 months. The profit is ₹7030. What is Pooja’s share (in ₹)?
- 39.Aarav, Ananya and Aditya invest ₹14000, ₹19000 and ₹4000 in a shop. The profit is ₹7400. What is Aditya’s share (in ₹)?
- 40.Manav starts a business with ₹8000. After 9 months, Priya joins with ₹9000. At the end of the year the profit is ₹33210. What is Manav’s share (in ₹)?
Answer key
- 55040
- 1820
- 1800
- 12420
- 5500
- 2000
- 5280
- 9600
- 5600
- 16200
- 180
- 1190
- 2720
- 6480
- 1280
- 4000
- 14300
- 4800
- 200
- 2000
- 12100
- 6400
- 5120
- 14400
- 2200
- 16000
- 31920
- 4800
- 8000
- 5100
- 200
- 2790
- 5700
- 20520
- 24700
- 880
- 3000
- 1900
- 800
- 25920
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