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.Diya starts a business with ₹3000. After 7 months, Aarav joins with ₹6000. At the end of the year the profit is ₹4400. What is Diya’s share (in ₹)?
- 2.Aarav, Nisha and Arjun invest ₹3000, ₹20000 and ₹17000 in a shop. The profit is ₹36000. What is Arjun’s share (in ₹)?
- 3.Rohan starts a business with ₹16000. After 8 months, Kabir joins with ₹7000. At the end of the year the profit is ₹45100. What is Rohan’s share (in ₹)?
- 4.Ishaan, Karan and Aarav invest ₹13000, ₹3000 and ₹5000 in a shop. The profit is ₹6300. What is Aarav’s share (in ₹)?
- 5.Sneha, Vivaan and Farhan invest ₹14000, ₹12000 and ₹13000 in a shop. The profit is ₹11700. What is Farhan’s share (in ₹)?
- 6.Tara and Pooja start a business with ₹5000 and ₹13000. They earn a profit of ₹10800. What is Pooja’s share (in ₹)?
- 7.Rohan, Sneha and Tara invest ₹13000, ₹3000 and ₹11000 in a shop. The profit is ₹5400. What is Tara’s share (in ₹)?
- 8.Saanvi puts ₹16000 into a business for 5 months and Aditya puts ₹19000 for 5 months. The profit is ₹29400. What is Saanvi’s share (in ₹)?
- 9.Rohan and Rahul start a business with ₹4000 and ₹6000. They earn a profit of ₹8000. What is Rahul’s share (in ₹)?
- 10.Vivaan puts ₹7000 into a business for 3 months and Kavya puts ₹19000 for 9 months. The profit is ₹15360. What is Vivaan’s share (in ₹)?
- 11.Rahul, Ishaan and Nisha invest ₹8000, ₹10000 and ₹10000 in a shop. The profit is ₹11200. What is Nisha’s share (in ₹)?
- 12.Isha starts a business with ₹15000. After 5 months, Meera joins with ₹19000. At the end of the year the profit is ₹153370. What is Isha’s share (in ₹)?
- 13.Karan starts a business with ₹19000. After 9 months, Meera joins with ₹8000. At the end of the year the profit is ₹16380. What is Karan’s share (in ₹)?
- 14.Ishaan starts a business with ₹9000. After 6 months, Farhan joins with ₹13000. At the end of the year the profit is ₹11470. What is Ishaan’s share (in ₹)?
- 15.Nisha and Vivaan start a business with ₹14000 and ₹13000. They earn a profit of ₹10800. What is Vivaan’s share (in ₹)?
- 16.Diya puts ₹11000 into a business for 5 months and Isha puts ₹3000 for 5 months. The profit is ₹11340. What is Diya’s share (in ₹)?
- 17.Zoya puts ₹5000 into a business for 4 months and Farhan puts ₹15000 for 4 months. The profit is ₹3240. What is Zoya’s share (in ₹)?
- 18.Rohan starts a business with ₹4000. After 6 months, Aarav joins with ₹5000. At the end of the year the profit is ₹4420. What is Rohan’s share (in ₹)?
- 19.Sneha puts ₹9000 into a business for 4 months and Priya puts ₹6000 for 5 months. The profit is ₹9240. What is Sneha’s share (in ₹)?
- 20.Rohan, Ananya and Isha invest ₹9000, ₹5000 and ₹9000 in a shop. The profit is ₹2300. What is Isha’s share (in ₹)?
- 21.Aditya puts ₹6000 into a business for 3 months and Aarav puts ₹5000 for 5 months. The profit is ₹25370. What is Aditya’s share (in ₹)?
- 22.Saanvi starts a business with ₹10000. After 9 months, Kabir joins with ₹12000. At the end of the year the profit is ₹7150. What is Saanvi’s share (in ₹)?
- 23.Rahul and Arjun start a business with ₹7000 and ₹15000. They earn a profit of ₹8800. What is Arjun’s share (in ₹)?
- 24.Meera puts ₹12000 into a business for 8 months and Priya puts ₹17000 for 6 months. The profit is ₹4950. What is Meera’s share (in ₹)?
- 25.Kabir puts ₹16000 into a business for 7 months and Saanvi puts ₹13000 for 4 months. The profit is ₹6150. What is Kabir’s share (in ₹)?
- 26.Zoya, Isha and Ananya invest ₹6000, ₹4000 and ₹8000 in a shop. The profit is ₹7200. What is Ananya’s share (in ₹)?
- 27.Nisha puts ₹6000 into a business for 5 months and Aarav puts ₹2000 for 7 months. The profit is ₹2420. What is Nisha’s share (in ₹)?
- 28.Rahul and Nisha start a business with ₹13000 and ₹5000. They earn a profit of ₹5400. What is Nisha’s share (in ₹)?
- 29.Ananya starts a business with ₹19000. After 2 months, Arjun joins with ₹2000. At the end of the year the profit is ₹22320. What is Ananya’s share (in ₹)?
- 30.Zoya and Isha start a business with ₹11000 and ₹17000. They earn a profit of ₹2800. What is Isha’s share (in ₹)?
- 31.Karan starts a business with ₹20000. After 7 months, Ananya joins with ₹2000. At the end of the year the profit is ₹10250. What is Karan’s share (in ₹)?
- 32.Ishaan, Vivaan and Ananya invest ₹2000, ₹6000 and ₹17000 in a shop. The profit is ₹2500. What is Ananya’s share (in ₹)?
- 33.Kabir puts ₹10000 into a business for 8 months and Nisha puts ₹2000 for 5 months. The profit is ₹6120. What is Kabir’s share (in ₹)?
- 34.Arjun puts ₹10000 into a business for 3 months and Ananya puts ₹4000 for 5 months. The profit is ₹4800. What is Arjun’s share (in ₹)?
- 35.Meera starts a business with ₹20000. After 2 months, Ananya joins with ₹15000. At the end of the year the profit is ₹5850. What is Meera’s share (in ₹)?
- 36.Rohan, Diya and Vivaan invest ₹3000, ₹4000 and ₹20000 in a shop. The profit is ₹13500. What is Vivaan’s share (in ₹)?
- 37.Arjun starts a business with ₹19000. After 6 months, Ananya joins with ₹2000. At the end of the year the profit is ₹13600. What is Arjun’s share (in ₹)?
- 38.Farhan puts ₹6000 into a business for 8 months and Aarav puts ₹19000 for 6 months. The profit is ₹22410. What is Farhan’s share (in ₹)?
- 39.Isha, Rahul and Vivaan invest ₹11000, ₹3000 and ₹4000 in a shop. The profit is ₹16200. What is Vivaan’s share (in ₹)?
- 40.Manav, Priya and Rohan invest ₹9000, ₹5000 and ₹20000 in a shop. The profit is ₹34000. What is Rohan’s share (in ₹)?
Answer key
- 2400
- 15300
- 39360
- 1500
- 3900
- 7800
- 2200
- 13440
- 4800
- 1680
- 4000
- 88200
- 14820
- 6660
- 5200
- 8910
- 810
- 2720
- 5040
- 900
- 10620
- 5500
- 6000
- 2400
- 4200
- 3200
- 1650
- 1500
- 20520
- 1700
- 9840
- 1700
- 5440
- 2880
- 3600
- 10000
- 12920
- 6640
- 3600
- 20000
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