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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 182 · 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 ₹20 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  3. 3.Rice at ₹46 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 2 kg of tea at ₹70 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 9 kg of tea at ₹119 per kg with 9 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  8. 8.Rice at ₹36 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  9. 9.A grocer mixes 9 kg of tea at ₹22 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹117 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹23 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  14. 14.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  16. 16.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?
  17. 17.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  18. 18.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 : 6?
  19. 19.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.A grocer mixes 12 kg of tea at ₹88 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 7 kg of tea at ₹119 per kg with 12 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 8 kg of tea at ₹56 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.Rice at ₹72 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A grocer mixes 8 kg of tea at ₹85 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  27. 27.Rice at ₹61 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A jug has 40 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?
  29. 29.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  30. 30.A grocer mixes 7 kg of tea at ₹46 per kg with 5 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  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 : 11?
  33. 33.A grocer mixes 10 kg of tea at ₹97 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  35. 35.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  36. 36.A grocer mixes 9 kg of tea at ₹119 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A 49-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?
  39. 39.A grocer mixes 2 kg of tea at ₹50 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹45 per kg with 4 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 7
  2. 18
  3. 15
  4. 25
  5. 69
  6. 95
  7. 8
  8. 16
  9. 52
  10. 40
  11. 109
  12. 10
  13. 8
  14. 50
  15. 10
  16. 60
  17. 20
  18. 8
  19. 9
  20. 80
  21. 83
  22. 47
  23. 40
  24. 16
  25. 52
  26. 21
  27. 8
  28. 52
  29. 4
  30. 71
  31. 12
  32. 28
  33. 74
  34. 40
  35. 10
  36. 95
  37. 8
  38. 28
  39. 62
  40. 53

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