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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 407 · 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.Rice at ₹59 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹75 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A grocer mixes 6 kg of tea at ₹116 per kg with 9 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹63 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  14. 14.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  15. 15.A grocer mixes 7 kg of tea at ₹57 per kg with 8 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  18. 18.A grocer mixes 4 kg of tea at ₹109 per kg with 7 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 54-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?
  20. 20.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  21. 21.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  22. 22.Rice at ₹52 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹95 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹43 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹115 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 10 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?
  29. 29.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 33-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?
  31. 31.Rice at ₹44 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A jug has 10 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?
  33. 33.Rice at ₹51 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.Rice at ₹61 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  35. 35.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  36. 36.A grocer mixes 6 kg of tea at ₹96 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹48 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.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?

Answer key

  1. 10
  2. 36
  3. 12
  4. 55
  5. 40
  6. 10
  7. 65
  8. 4
  9. 20
  10. 76
  11. 60
  12. 15
  13. 7
  14. 6
  15. 81
  16. 6
  17. 12
  18. 60
  19. 6
  20. 6
  21. 20
  22. 8
  23. 104
  24. 40
  25. 50
  26. 4
  27. 74
  28. 80
  29. 64
  30. 9
  31. 1
  32. 60
  33. 12
  34. 6
  35. 3
  36. 90
  37. 40
  38. 60
  39. 40
  40. 2

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