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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 415 · 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 ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  3. 3.Rice at ₹32 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹110 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A grocer mixes 7 kg of tea at ₹95 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A grocer mixes 4 kg of tea at ₹106 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  13. 13.A grocer mixes 5 kg of tea at ₹88 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  15. 15.A grocer mixes 5 kg of tea at ₹77 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹63 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.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?
  19. 19.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?
  20. 20.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  21. 21.A grocer mixes 9 kg of tea at ₹28 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  23. 23.Rice at ₹76 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹80 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  27. 27.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?
  28. 28.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?
  29. 29.A jug has 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 7 kg of tea at ₹45 per kg with 10 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.A 40-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?
  34. 34.A jug has 10 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?
  35. 35.Rice at ₹47 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.A 96-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?
  37. 37.Rice at ₹40 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹58 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?

Answer key

  1. 5
  2. 4
  3. 5
  4. 77
  5. 8
  6. 99
  7. 9
  8. 95
  9. 24
  10. 12
  11. 4
  12. 6
  13. 54
  14. 18
  15. 45
  16. 18
  17. 36
  18. 64
  19. 55
  20. 16
  21. 38
  22. 10
  23. 25
  24. 50
  25. 8
  26. 6
  27. 80
  28. 70
  29. 40
  30. 55
  31. 18
  32. 18
  33. 20
  34. 68
  35. 8
  36. 16
  37. 10
  38. 2
  39. 9
  40. 21

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