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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 79 · 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 ₹26 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 14-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?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.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 3 : 5?
  6. 6.Rice at ₹67 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.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?
  8. 8.A jug has 40 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?
  9. 9.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  10. 10.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A grocer mixes 12 kg of tea at ₹109 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 42-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?
  13. 13.A jug has 50 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?
  14. 14.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  15. 15.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  16. 16.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.Rice at ₹67 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.A grocer mixes 8 kg of tea at ₹25 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 9 kg of tea at ₹115 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A jug has 10 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?
  22. 22.Rice at ₹42 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹51 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 70-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.Rice at ₹73 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.Rice at ₹80 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  31. 31.A grocer mixes 5 kg of tea at ₹56 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  33. 33.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?
  34. 34.A jug has 20 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?
  35. 35.Rice at ₹43 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.Rice at ₹55 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.A grocer mixes 3 kg of tea at ₹58 per kg with 8 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹42 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.Rice at ₹48 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 5 kg of tea at ₹90 per kg with 5 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 38
  2. 8
  3. 2
  4. 15
  5. 18
  6. 25
  7. 20
  8. 25
  9. 3
  10. 18
  11. 88
  12. 12
  13. 25
  14. 5
  15. 6
  16. 4
  17. 8
  18. 39
  19. 101
  20. 3
  21. 70
  22. 35
  23. 95
  24. 12
  25. 40
  26. 12
  27. 16
  28. 3
  29. 70
  30. 40
  31. 55
  32. 21
  33. 68
  34. 52
  35. 4
  36. 6
  37. 42
  38. 2
  39. 5
  40. 67

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