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.Aarav starts a business with ₹8000. After 3 months, Rohan joins with ₹12000. At the end of the year the profit is ₹15980. What is Aarav’s share (in ₹)?
- 2.Zoya puts ₹20000 into a business for 12 months and Pooja puts ₹16000 for 6 months. The profit is ₹3710. What is Zoya’s share (in ₹)?
- 3.Isha and Farhan start a business with ₹12000 and ₹14000. They earn a profit of ₹18200. What is Farhan’s share (in ₹)?
- 4.Dev, Aarav and Isha invest ₹12000, ₹10000 and ₹5000 in a shop. The profit is ₹2700. What is Isha’s share (in ₹)?
- 5.Meera, Farhan and Arjun invest ₹11000, ₹14000 and ₹12000 in a shop. The profit is ₹37000. What is Arjun’s share (in ₹)?
- 6.Priya puts ₹5000 into a business for 3 months and Kavya puts ₹4000 for 10 months. The profit is ₹4400. What is Priya’s share (in ₹)?
- 7.Aarav puts ₹14000 into a business for 9 months and Isha puts ₹2000 for 4 months. The profit is ₹26130. What is Aarav’s share (in ₹)?
- 8.Kabir starts a business with ₹17000. After 7 months, Sneha joins with ₹11000. At the end of the year the profit is ₹248640. What is Kabir’s share (in ₹)?
- 9.Arjun, Rahul and Vivaan invest ₹19000, ₹5000 and ₹14000 in a shop. The profit is ₹30400. What is Vivaan’s share (in ₹)?
- 10.Saanvi, Tara and Zoya invest ₹4000, ₹14000 and ₹17000 in a shop. The profit is ₹3500. What is Zoya’s share (in ₹)?
- 11.Nisha puts ₹19000 into a business for 7 months and Aditya puts ₹7000 for 10 months. The profit is ₹15950. What is Nisha’s share (in ₹)?
- 12.Meera, Isha and Farhan invest ₹12000, ₹11000 and ₹8000 in a shop. The profit is ₹27900. What is Farhan’s share (in ₹)?
- 13.Vivaan and Kabir start a business with ₹12000 and ₹20000. They earn a profit of ₹3200. What is Kabir’s share (in ₹)?
- 14.Zoya, Vivaan and Tara invest ₹3000, ₹20000 and ₹2000 in a shop. The profit is ₹12500. What is Tara’s share (in ₹)?
- 15.Saanvi, Isha and Kabir invest ₹6000, ₹11000 and ₹7000 in a shop. The profit is ₹19200. What is Kabir’s share (in ₹)?
- 16.Priya, Zoya and Rohan invest ₹4000, ₹20000 and ₹14000 in a shop. The profit is ₹13300. What is Rohan’s share (in ₹)?
- 17.Ananya puts ₹3000 into a business for 3 months and Ishaan puts ₹6000 for 10 months. The profit is ₹4600. What is Ananya’s share (in ₹)?
- 18.Ananya and Karan start a business with ₹16000 and ₹6000. They earn a profit of ₹8800. What is Karan’s share (in ₹)?
- 19.Tara and Nisha start a business with ₹13000 and ₹8000. They earn a profit of ₹31500. What is Nisha’s share (in ₹)?
- 20.Manav and Priya start a business with ₹13000 and ₹18000. They earn a profit of ₹21700. What is Priya’s share (in ₹)?
- 21.Rahul starts a business with ₹6000. After 9 months, Nisha joins with ₹18000. At the end of the year the profit is ₹2590. What is Rahul’s share (in ₹)?
- 22.Arjun and Ananya start a business with ₹3000 and ₹15000. They earn a profit of ₹10800. What is Ananya’s share (in ₹)?
- 23.Rahul puts ₹5000 into a business for 8 months and Ishaan puts ₹3000 for 3 months. The profit is ₹30870. What is Rahul’s share (in ₹)?
- 24.Kabir and Ananya start a business with ₹18000 and ₹11000. They earn a profit of ₹58000. What is Ananya’s share (in ₹)?
- 25.Diya and Tara start a business with ₹18000 and ₹5000. They earn a profit of ₹13800. What is Tara’s share (in ₹)?
- 26.Priya starts a business with ₹9000. After 3 months, Vivaan joins with ₹20000. At the end of the year the profit is ₹6720. What is Priya’s share (in ₹)?
- 27.Ishaan starts a business with ₹20000. After 9 months, Aarav joins with ₹17000. At the end of the year the profit is ₹82450. What is Ishaan’s share (in ₹)?
- 28.Nisha and Priya start a business with ₹19000 and ₹16000. They earn a profit of ₹24500. What is Priya’s share (in ₹)?
- 29.Ishaan, Vivaan and Rahul invest ₹20000, ₹17000 and ₹2000 in a shop. The profit is ₹11700. What is Rahul’s share (in ₹)?
- 30.Arjun, Aarav and Priya invest ₹5000, ₹8000 and ₹14000 in a shop. The profit is ₹16200. What is Priya’s share (in ₹)?
- 31.Vivaan starts a business with ₹14000. After 5 months, Karan joins with ₹13000. At the end of the year the profit is ₹16650. What is Vivaan’s share (in ₹)?
- 32.Vivaan and Dev start a business with ₹20000 and ₹12000. They earn a profit of ₹13600. What is Dev’s share (in ₹)?
- 33.Sneha and Priya start a business with ₹17000 and ₹14000. They earn a profit of ₹62000. What is Priya’s share (in ₹)?
- 34.Karan, Aarav and Nisha invest ₹17000, ₹2000 and ₹16000 in a shop. The profit is ₹31500. What is Nisha’s share (in ₹)?
- 35.Farhan, Kabir and Rohan invest ₹12000, ₹2000 and ₹16000 in a shop. The profit is ₹10500. What is Rohan’s share (in ₹)?
- 36.Ishaan and Diya start a business with ₹8000 and ₹18000. They earn a profit of ₹7800. What is Diya’s share (in ₹)?
- 37.Zoya, Ananya and Priya invest ₹11000, ₹2000 and ₹8000 in a shop. The profit is ₹12600. What is Priya’s share (in ₹)?
- 38.Karan starts a business with ₹3000. After 4 months, Diya joins with ₹19000. At the end of the year the profit is ₹25380. What is Karan’s share (in ₹)?
- 39.Isha puts ₹20000 into a business for 3 months and Kavya puts ₹9000 for 11 months. The profit is ₹40280. What is Isha’s share (in ₹)?
- 40.Dev puts ₹13000 into a business for 11 months and Ishaan puts ₹6000 for 4 months. The profit is ₹18370. What is Dev’s share (in ₹)?
Answer key
- 7520
- 2650
- 9800
- 500
- 12000
- 1200
- 24570
- 195840
- 11200
- 1700
- 10450
- 7200
- 2000
- 1000
- 5600
- 4900
- 600
- 2400
- 12000
- 12600
- 1480
- 9000
- 25200
- 22000
- 3000
- 2520
- 68000
- 11200
- 600
- 8400
- 10800
- 5100
- 28000
- 14400
- 5600
- 5400
- 4800
- 4860
- 15200
- 15730
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