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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 708 · 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 ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.A grocer mixes 12 kg of tea at ₹44 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 2 kg of tea at ₹101 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 3 kg of tea at ₹27 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.Rice at ₹20 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.A grocer mixes 2 kg of tea at ₹86 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.Rice at ₹49 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹57 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.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?
  14. 14.A 80-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?
  15. 15.A jug has 25 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?
  16. 16.A grocer mixes 5 kg of tea at ₹115 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 6 kg of tea at ₹92 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  21. 21.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹77 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  24. 24.A grocer mixes 7 kg of tea at ₹118 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹111 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹103 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A 54-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?
  31. 31.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.A grocer mixes 12 kg of tea at ₹118 per kg with 5 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 9 kg of tea at ₹51 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  36. 36.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  37. 37.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?
  38. 38.A grocer mixes 3 kg of tea at ₹102 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?

Answer key

  1. 5
  2. 42
  3. 41
  4. 63
  5. 10
  6. 6
  7. 106
  8. 40
  9. 2
  10. 36
  11. 80
  12. 10
  13. 50
  14. 32
  15. 50
  16. 55
  17. 25
  18. 68
  19. 5
  20. 12
  21. 50
  22. 16
  23. 16
  24. 112
  25. 72
  26. 6
  27. 9
  28. 107
  29. 20
  30. 6
  31. 10
  32. 93
  33. 60
  34. 21
  35. 12
  36. 4
  37. 40
  38. 74
  39. 6
  40. 16

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