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.Rahul starts a business with ₹6000. After 9 months, Diya joins with ₹13000. At the end of the year the profit is ₹15910. What is Rahul’s share (in ₹)?
- 2.Farhan and Aarav start a business with ₹6000 and ₹11000. They earn a profit of ₹32300. What is Aarav’s share (in ₹)?
- 3.Aditya and Ananya start a business with ₹16000 and ₹10000. They earn a profit of ₹15600. What is Ananya’s share (in ₹)?
- 4.Priya and Ananya start a business with ₹16000 and ₹8000. They earn a profit of ₹2700. What is Ananya’s share (in ₹)?
- 5.Arjun and Priya start a business with ₹10000 and ₹16000. They earn a profit of ₹26000. What is Priya’s share (in ₹)?
- 6.Ananya starts a business with ₹8000. After 4 months, Zoya joins with ₹14000. At the end of the year the profit is ₹7930. What is Ananya’s share (in ₹)?
- 7.Ananya and Diya start a business with ₹11000 and ₹19000. They earn a profit of ₹33000. What is Diya’s share (in ₹)?
- 8.Priya starts a business with ₹5000. After 3 months, Arjun joins with ₹7000. At the end of the year the profit is ₹12300. What is Priya’s share (in ₹)?
- 9.Tara starts a business with ₹16000. After 4 months, Priya joins with ₹5000. At the end of the year the profit is ₹6960. What is Tara’s share (in ₹)?
- 10.Rahul puts ₹5000 into a business for 4 months and Rohan puts ₹12000 for 4 months. The profit is ₹2380. What is Rahul’s share (in ₹)?
- 11.Rahul and Saanvi start a business with ₹6000 and ₹10000. They earn a profit of ₹12800. What is Saanvi’s share (in ₹)?
- 12.Diya and Isha start a business with ₹4000 and ₹7000. They earn a profit of ₹2200. What is Isha’s share (in ₹)?
- 13.Aarav, Ishaan and Pooja invest ₹4000, ₹2000 and ₹5000 in a shop. The profit is ₹6600. What is Pooja’s share (in ₹)?
- 14.Aarav, Sneha and Saanvi invest ₹4000, ₹3000 and ₹3000 in a shop. The profit is ₹3000. What is Saanvi’s share (in ₹)?
- 15.Karan puts ₹6000 into a business for 6 months and Tara puts ₹19000 for 4 months. The profit is ₹22960. What is Karan’s share (in ₹)?
- 16.Nisha puts ₹6000 into a business for 10 months and Rahul puts ₹13000 for 8 months. The profit is ₹27880. What is Nisha’s share (in ₹)?
- 17.Ananya starts a business with ₹7000. After 7 months, Isha joins with ₹19000. At the end of the year the profit is ₹64440. What is Ananya’s share (in ₹)?
- 18.Nisha, Meera and Rahul invest ₹10000, ₹3000 and ₹12000 in a shop. The profit is ₹15000. What is Rahul’s share (in ₹)?
- 19.Meera and Kabir start a business with ₹6000 and ₹8000. They earn a profit of ₹4200. What is Kabir’s share (in ₹)?
- 20.Zoya starts a business with ₹3000. After 5 months, Karan joins with ₹8000. At the end of the year the profit is ₹16560. What is Zoya’s share (in ₹)?
- 21.Rahul and Farhan start a business with ₹6000 and ₹11000. They earn a profit of ₹34000. What is Farhan’s share (in ₹)?
- 22.Pooja, Meera and Farhan invest ₹6000, ₹17000 and ₹6000 in a shop. The profit is ₹23200. What is Farhan’s share (in ₹)?
- 23.Priya, Rahul and Karan invest ₹4000, ₹13000 and ₹19000 in a shop. The profit is ₹14400. What is Karan’s share (in ₹)?
- 24.Arjun and Ananya start a business with ₹18000 and ₹9000. They earn a profit of ₹3300. What is Ananya’s share (in ₹)?
- 25.Rahul and Isha start a business with ₹20000 and ₹10000. They earn a profit of ₹900. What is Isha’s share (in ₹)?
- 26.Isha, Meera and Arjun invest ₹12000, ₹14000 and ₹10000 in a shop. The profit is ₹1800. What is Arjun’s share (in ₹)?
- 27.Kabir starts a business with ₹5000. After 7 months, Zoya joins with ₹20000. At the end of the year the profit is ₹6960. What is Kabir’s share (in ₹)?
- 28.Kabir, Rohan and Arjun invest ₹7000, ₹3000 and ₹5000 in a shop. The profit is ₹7500. What is Arjun’s share (in ₹)?
- 29.Pooja puts ₹8000 into a business for 12 months and Zoya puts ₹10000 for 4 months. The profit is ₹16320. What is Pooja’s share (in ₹)?
- 30.Rohan and Vivaan start a business with ₹19000 and ₹9000. They earn a profit of ₹47600. What is Vivaan’s share (in ₹)?
- 31.Tara and Kabir start a business with ₹3000 and ₹18000. They earn a profit of ₹700. What is Kabir’s share (in ₹)?
- 32.Rohan starts a business with ₹19000. After 9 months, Vivaan joins with ₹16000. At the end of the year the profit is ₹5290. What is Rohan’s share (in ₹)?
- 33.Arjun starts a business with ₹6000. After 5 months, Karan joins with ₹7000. At the end of the year the profit is ₹31460. What is Arjun’s share (in ₹)?
- 34.Nisha, Aditya and Tara invest ₹14000, ₹16000 and ₹3000 in a shop. The profit is ₹9900. What is Tara’s share (in ₹)?
- 35.Aarav starts a business with ₹15000. After 4 months, Priya joins with ₹12000. At the end of the year the profit is ₹19320. What is Aarav’s share (in ₹)?
- 36.Rohan puts ₹6000 into a business for 10 months and Arjun puts ₹3000 for 4 months. The profit is ₹4380. What is Rohan’s share (in ₹)?
- 37.Priya and Rohan start a business with ₹10000 and ₹13000. They earn a profit of ₹29900. What is Rohan’s share (in ₹)?
- 38.Diya puts ₹6000 into a business for 12 months and Nisha puts ₹18000 for 4 months. The profit is ₹140. What is Diya’s share (in ₹)?
- 39.Saanvi and Rohan start a business with ₹17000 and ₹2000. They earn a profit of ₹24700. What is Rohan’s share (in ₹)?
- 40.Kabir, Meera and Sneha invest ₹6000, ₹5000 and ₹15000 in a shop. The profit is ₹7800. What is Sneha’s share (in ₹)?
Answer key
- 10320
- 20900
- 6000
- 900
- 16000
- 3660
- 20900
- 6000
- 5760
- 700
- 8000
- 1400
- 3000
- 900
- 7380
- 10200
- 30240
- 7200
- 2400
- 6480
- 22000
- 4800
- 7600
- 1100
- 300
- 500
- 2610
- 2500
- 11520
- 15300
- 600
- 4370
- 18720
- 900
- 12600
- 3650
- 16900
- 70
- 2600
- 4500
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