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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 106 · 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.A grocer mixes 8 kg of tea at ₹111 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹57 per kg is mixed with rice at ₹68 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?
  4. 4.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?
  5. 5.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 4 kg of tea at ₹22 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.Rice at ₹66 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A grocer mixes 5 kg of tea at ₹73 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹38 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.A jug has 10 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?
  12. 12.A grocer mixes 7 kg of tea at ₹34 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹64 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.A 25-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?
  16. 16.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 8 kg of tea at ₹27 per kg with 8 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 26-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?
  20. 20.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?
  21. 21.A grocer mixes 3 kg of tea at ₹36 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.Rice at ₹63 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.Rice at ₹42 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.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 1 : 3?
  27. 27.Rice at ₹62 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  28. 28.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  29. 29.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 6 kg of tea at ₹56 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  32. 32.A grocer mixes 6 kg of tea at ₹89 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 12 kg of tea at ₹111 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹43 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  35. 35.A 12-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?
  36. 36.A grocer mixes 10 kg of tea at ₹60 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 8 kg of tea at ₹87 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 30-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?
  39. 39.A grocer mixes 2 kg of tea at ₹43 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹29 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?

Answer key

  1. 109
  2. 20
  3. 25
  4. 80
  5. 50
  6. 28
  7. 20
  8. 28
  9. 85
  10. 3
  11. 55
  12. 54
  13. 5
  14. 5
  15. 10
  16. 4
  17. 50
  18. 28
  19. 4
  20. 40
  21. 39
  22. 1
  23. 1
  24. 30
  25. 6
  26. 8
  27. 36
  28. 12
  29. 40
  30. 57
  31. 16
  32. 63
  33. 104
  34. 7
  35. 4
  36. 78
  37. 74
  38. 3
  39. 87
  40. 6

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