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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 474 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

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  1. 1.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹29 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹89 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  8. 8.A grocer mixes 9 kg of tea at ₹106 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A grocer mixes 2 kg of tea at ₹62 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  13. 13.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A 40-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  15. 15.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  20. 20.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  21. 21.Rice at ₹78 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  22. 22.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  25. 25.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  26. 26.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  27. 27.A grocer mixes 4 kg of tea at ₹94 per kg with 12 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹78 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  31. 31.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  35. 35.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  36. 36.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.A grocer mixes 6 kg of tea at ₹77 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 4 kg of tea at ₹28 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?

Answer key

  1. 50
  2. 8
  3. 18
  4. 10
  5. 65
  6. 25
  7. 10
  8. 90
  9. 6
  10. 18
  11. 65
  12. 18
  13. 70
  14. 20
  15. 50
  16. 75
  17. 2
  18. 50
  19. 18
  20. 8
  21. 35
  22. 50
  23. 40
  24. 6
  25. 36
  26. 28
  27. 70
  28. 30
  29. 60
  30. 30
  31. 80
  32. 36
  33. 9
  34. 4
  35. 32
  36. 3
  37. 99
  38. 50
  39. 69
  40. 7

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