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.Nisha puts ₹12000 into a business for 3 months and Diya puts ₹3000 for 6 months. The profit is ₹780. What is Nisha’s share (in ₹)?
- 2.Tara and Arjun start a business with ₹2000 and ₹18000. They earn a profit of ₹9000. What is Arjun’s share (in ₹)?
- 3.Rohan puts ₹16000 into a business for 5 months and Meera puts ₹20000 for 10 months. The profit is ₹490. What is Rohan’s share (in ₹)?
- 4.Dev and Sneha start a business with ₹4000 and ₹11000. They earn a profit of ₹7500. What is Sneha’s share (in ₹)?
- 5.Isha starts a business with ₹8000. After 9 months, Diya joins with ₹5000. At the end of the year the profit is ₹35150. What is Isha’s share (in ₹)?
- 6.Pooja, Tara and Saanvi invest ₹5000, ₹10000 and ₹17000 in a shop. The profit is ₹3200. What is Saanvi’s share (in ₹)?
- 7.Vivaan and Meera start a business with ₹20000 and ₹7000. They earn a profit of ₹29700. What is Meera’s share (in ₹)?
- 8.Tara starts a business with ₹20000. After 8 months, Sneha joins with ₹16000. At the end of the year the profit is ₹12160. What is Tara’s share (in ₹)?
- 9.Aarav starts a business with ₹14000. After 4 months, Tara joins with ₹20000. At the end of the year the profit is ₹14350. What is Aarav’s share (in ₹)?
- 10.Meera puts ₹5000 into a business for 3 months and Farhan puts ₹11000 for 3 months. The profit is ₹3520. What is Meera’s share (in ₹)?
- 11.Aarav puts ₹6000 into a business for 7 months and Saanvi puts ₹16000 for 12 months. The profit is ₹19890. What is Aarav’s share (in ₹)?
- 12.Aarav and Aditya start a business with ₹17000 and ₹8000. They earn a profit of ₹15000. What is Aditya’s share (in ₹)?
- 13.Sneha starts a business with ₹8000. After 9 months, Saanvi joins with ₹3000. At the end of the year the profit is ₹17150. What is Sneha’s share (in ₹)?
- 14.Nisha and Aarav start a business with ₹17000 and ₹11000. They earn a profit of ₹8400. What is Aarav’s share (in ₹)?
- 15.Ananya puts ₹12000 into a business for 9 months and Arjun puts ₹6000 for 5 months. The profit is ₹3910. What is Ananya’s share (in ₹)?
- 16.Ishaan and Zoya start a business with ₹20000 and ₹15000. They earn a profit of ₹4200. What is Zoya’s share (in ₹)?
- 17.Ananya starts a business with ₹3000. After 7 months, Arjun joins with ₹9000. At the end of the year the profit is ₹3150. What is Ananya’s share (in ₹)?
- 18.Dev puts ₹14000 into a business for 7 months and Farhan puts ₹20000 for 3 months. The profit is ₹74260. What is Dev’s share (in ₹)?
- 19.Aditya starts a business with ₹2000. After 6 months, Zoya joins with ₹7000. At the end of the year the profit is ₹550. What is Aditya’s share (in ₹)?
- 20.Vivaan puts ₹19000 into a business for 12 months and Isha puts ₹18000 for 6 months. The profit is ₹19040. What is Vivaan’s share (in ₹)?
- 21.Aditya and Meera start a business with ₹4000 and ₹6000. They earn a profit of ₹500. What is Meera’s share (in ₹)?
- 22.Ananya puts ₹2000 into a business for 9 months and Aarav puts ₹20000 for 3 months. The profit is ₹5980. What is Ananya’s share (in ₹)?
- 23.Manav, Arjun and Rahul invest ₹11000, ₹4000 and ₹19000 in a shop. The profit is ₹10200. What is Rahul’s share (in ₹)?
- 24.Farhan puts ₹19000 into a business for 11 months and Rohan puts ₹16000 for 4 months. The profit is ₹267540. What is Farhan’s share (in ₹)?
- 25.Rahul and Isha start a business with ₹4000 and ₹15000. They earn a profit of ₹30400. What is Isha’s share (in ₹)?
- 26.Rahul, Priya and Ishaan invest ₹9000, ₹3000 and ₹17000 in a shop. The profit is ₹20300. What is Ishaan’s share (in ₹)?
- 27.Diya puts ₹17000 into a business for 4 months and Rohan puts ₹12000 for 11 months. The profit is ₹41000. What is Diya’s share (in ₹)?
- 28.Rohan puts ₹20000 into a business for 6 months and Tara puts ₹18000 for 8 months. The profit is ₹1980. What is Rohan’s share (in ₹)?
- 29.Isha starts a business with ₹16000. After 7 months, Arjun joins with ₹19000. At the end of the year the profit is ₹175070. What is Isha’s share (in ₹)?
- 30.Aditya, Aarav and Rohan invest ₹8000, ₹7000 and ₹12000 in a shop. The profit is ₹10800. What is Rohan’s share (in ₹)?
- 31.Kabir starts a business with ₹14000. After 9 months, Zoya joins with ₹6000. At the end of the year the profit is ₹10230. What is Kabir’s share (in ₹)?
- 32.Diya starts a business with ₹3000. After 9 months, Meera joins with ₹2000. At the end of the year the profit is ₹3430. What is Diya’s share (in ₹)?
- 33.Rahul starts a business with ₹11000. After 2 months, Arjun joins with ₹10000. At the end of the year the profit is ₹42340. What is Rahul’s share (in ₹)?
- 34.Rohan puts ₹6000 into a business for 7 months and Ishaan puts ₹9000 for 11 months. The profit is ₹7050. What is Rohan’s share (in ₹)?
- 35.Aditya, Isha and Karan invest ₹7000, ₹10000 and ₹3000 in a shop. The profit is ₹12000. What is Karan’s share (in ₹)?
- 36.Priya, Isha and Vivaan invest ₹11000, ₹15000 and ₹2000 in a shop. The profit is ₹22400. What is Vivaan’s share (in ₹)?
- 37.Tara, Priya and Meera invest ₹3000, ₹17000 and ₹9000 in a shop. The profit is ₹14500. What is Meera’s share (in ₹)?
- 38.Isha and Ishaan start a business with ₹16000 and ₹20000. They earn a profit of ₹2700. What is Ishaan’s share (in ₹)?
- 39.Isha and Kabir start a business with ₹15000 and ₹19000. They earn a profit of ₹34000. What is Kabir’s share (in ₹)?
- 40.Priya and Arjun start a business with ₹16000 and ₹15000. They earn a profit of ₹27900. What is Arjun’s share (in ₹)?
Answer key
- 520
- 8100
- 140
- 5500
- 30400
- 1700
- 7700
- 9600
- 7350
- 1100
- 3570
- 4800
- 15680
- 3300
- 3060
- 1800
- 1400
- 46060
- 200
- 12920
- 300
- 1380
- 5700
- 204820
- 24000
- 11900
- 13940
- 900
- 117120
- 4800
- 9240
- 2940
- 24090
- 2100
- 1800
- 1600
- 4500
- 1500
- 19000
- 13500
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