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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 5 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Rice at ₹51 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A grocer mixes 4 kg of tea at ₹48 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.A 18-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?
  6. 6.A grocer mixes 8 kg of tea at ₹111 per kg with 8 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  8. 8.A grocer mixes 10 kg of tea at ₹117 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  10. 10.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  11. 11.A grocer mixes 10 kg of tea at ₹107 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 4 kg of tea at ₹91 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹53 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  15. 15.A grocer mixes 5 kg of tea at ₹33 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A grocer mixes 3 kg of tea at ₹93 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A grocer mixes 12 kg of tea at ₹35 per kg with 8 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  21. 21.Rice at ₹46 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹74 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.Rice at ₹39 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  25. 25.A grocer mixes 4 kg of tea at ₹49 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.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?
  28. 28.A 32-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?
  29. 29.Rice at ₹34 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹39 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹43 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.Rice at ₹79 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹43 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?
  40. 40.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 6
  2. 42
  3. 21
  4. 2
  5. 6
  6. 88
  7. 9
  8. 114
  9. 24
  10. 32
  11. 99
  12. 89
  13. 12
  14. 32
  15. 49
  16. 55
  17. 67
  18. 60
  19. 53
  20. 8
  21. 5
  22. 56
  23. 50
  24. 25
  25. 50
  26. 60
  27. 64
  28. 4
  29. 18
  30. 60
  31. 36
  32. 5
  33. 61
  34. 4
  35. 6
  36. 30
  37. 4
  38. 3
  39. 8
  40. 6

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