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.
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- 1.Aditya starts a business with ₹20000. After 4 months, Sneha joins with ₹15000. At the end of the year the profit is ₹1200. What is Aditya’s share (in ₹)?
- 2.Aarav starts a business with ₹12000. After 8 months, Arjun joins with ₹8000. At the end of the year the profit is ₹6160. What is Aarav’s share (in ₹)?
- 3.Vivaan and Zoya start a business with ₹15000 and ₹13000. They earn a profit of ₹50400. What is Zoya’s share (in ₹)?
- 4.Tara starts a business with ₹9000. After 4 months, Kabir joins with ₹19000. At the end of the year the profit is ₹64350. What is Tara’s share (in ₹)?
- 5.Vivaan puts ₹3000 into a business for 3 months and Priya puts ₹17000 for 6 months. The profit is ₹7400. What is Vivaan’s share (in ₹)?
- 6.Diya puts ₹17000 into a business for 11 months and Nisha puts ₹11000 for 8 months. The profit is ₹6750. What is Diya’s share (in ₹)?
- 7.Pooja starts a business with ₹12000. After 2 months, Priya joins with ₹18000. At the end of the year the profit is ₹1440. What is Pooja’s share (in ₹)?
- 8.Vivaan and Pooja start a business with ₹16000 and ₹5000. They earn a profit of ₹2100. What is Pooja’s share (in ₹)?
- 9.Ishaan and Saanvi start a business with ₹9000 and ₹8000. They earn a profit of ₹34000. What is Saanvi’s share (in ₹)?
- 10.Arjun, Vivaan and Kabir invest ₹11000, ₹6000 and ₹8000 in a shop. The profit is ₹12500. What is Kabir’s share (in ₹)?
- 11.Tara starts a business with ₹8000. After 5 months, Aarav joins with ₹11000. At the end of the year the profit is ₹133210. What is Tara’s share (in ₹)?
- 12.Sneha starts a business with ₹3000. After 8 months, Pooja joins with ₹7000. At the end of the year the profit is ₹1760. What is Sneha’s share (in ₹)?
- 13.Pooja and Priya start a business with ₹2000 and ₹16000. They earn a profit of ₹18000. What is Priya’s share (in ₹)?
- 14.Manav and Saanvi start a business with ₹19000 and ₹14000. They earn a profit of ₹49500. What is Saanvi’s share (in ₹)?
- 15.Saanvi, Ishaan and Aditya invest ₹7000, ₹19000 and ₹6000 in a shop. The profit is ₹22400. What is Aditya’s share (in ₹)?
- 16.Saanvi and Rohan start a business with ₹12000 and ₹6000. They earn a profit of ₹900. What is Rohan’s share (in ₹)?
- 17.Rahul, Ishaan and Zoya invest ₹5000, ₹2000 and ₹6000 in a shop. The profit is ₹3900. What is Zoya’s share (in ₹)?
- 18.Manav and Nisha start a business with ₹4000 and ₹19000. They earn a profit of ₹29900. What is Nisha’s share (in ₹)?
- 19.Dev starts a business with ₹9000. After 6 months, Saanvi joins with ₹7000. At the end of the year the profit is ₹14000. What is Dev’s share (in ₹)?
- 20.Dev starts a business with ₹2000. After 6 months, Aditya joins with ₹7000. At the end of the year the profit is ₹550. What is Dev’s share (in ₹)?
- 21.Rohan and Zoya start a business with ₹5000 and ₹9000. They earn a profit of ₹8400. What is Zoya’s share (in ₹)?
- 22.Kabir and Ananya start a business with ₹12000 and ₹13000. They earn a profit of ₹40000. What is Ananya’s share (in ₹)?
- 23.Rahul and Farhan start a business with ₹5000 and ₹2000. They earn a profit of ₹7000. What is Farhan’s share (in ₹)?
- 24.Sneha starts a business with ₹18000. After 5 months, Manav joins with ₹12000. At the end of the year the profit is ₹18000. What is Sneha’s share (in ₹)?
- 25.Sneha, Nisha and Manav invest ₹15000, ₹18000 and ₹13000 in a shop. The profit is ₹32200. What is Manav’s share (in ₹)?
- 26.Priya puts ₹10000 into a business for 12 months and Tara puts ₹9000 for 6 months. The profit is ₹7250. What is Priya’s share (in ₹)?
- 27.Pooja starts a business with ₹10000. After 5 months, Nisha joins with ₹8000. At the end of the year the profit is ₹1760. What is Pooja’s share (in ₹)?
- 28.Diya and Aarav start a business with ₹11000 and ₹20000. They earn a profit of ₹6200. What is Aarav’s share (in ₹)?
- 29.Arjun, Rahul and Aarav invest ₹11000, ₹8000 and ₹20000 in a shop. The profit is ₹39000. What is Aarav’s share (in ₹)?
- 30.Dev puts ₹11000 into a business for 6 months and Manav puts ₹12000 for 9 months. The profit is ₹25520. What is Dev’s share (in ₹)?
- 31.Kabir starts a business with ₹3000. After 6 months, Vivaan joins with ₹5000. At the end of the year the profit is ₹4730. What is Kabir’s share (in ₹)?
- 32.Arjun and Saanvi start a business with ₹7000 and ₹6000. They earn a profit of ₹5200. What is Saanvi’s share (in ₹)?
- 33.Dev, Saanvi and Ananya invest ₹11000, ₹18000 and ₹17000 in a shop. The profit is ₹27600. What is Ananya’s share (in ₹)?
- 34.Vivaan starts a business with ₹3000. After 2 months, Priya joins with ₹15000. At the end of the year the profit is ₹2170. What is Vivaan’s share (in ₹)?
- 35.Pooja, Rohan and Rahul invest ₹7000, ₹13000 and ₹2000 in a shop. The profit is ₹17600. What is Rahul’s share (in ₹)?
- 36.Ishaan, Arjun and Saanvi invest ₹12000, ₹10000 and ₹8000 in a shop. The profit is ₹9000. What is Saanvi’s share (in ₹)?
- 37.Pooja puts ₹12000 into a business for 5 months and Farhan puts ₹13000 for 10 months. The profit is ₹10450. What is Pooja’s share (in ₹)?
- 38.Tara puts ₹6000 into a business for 9 months and Diya puts ₹10000 for 3 months. The profit is ₹1820. What is Tara’s share (in ₹)?
- 39.Arjun starts a business with ₹6000. After 2 months, Dev joins with ₹17000. At the end of the year the profit is ₹50820. What is Arjun’s share (in ₹)?
- 40.Rohan starts a business with ₹19000. After 2 months, Farhan joins with ₹13000. At the end of the year the profit is ₹14320. What is Rohan’s share (in ₹)?
Answer key
- 800
- 5040
- 23400
- 26730
- 600
- 4590
- 640
- 500
- 16000
- 4000
- 73920
- 990
- 16000
- 21000
- 4200
- 300
- 1800
- 24700
- 10080
- 200
- 5400
- 20800
- 2000
- 12960
- 9100
- 5000
- 1200
- 4000
- 20000
- 9680
- 2580
- 2400
- 10200
- 420
- 1600
- 2400
- 3300
- 1170
- 15120
- 9120
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