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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 909 · 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 2 kg of tea at ₹55 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A grocer mixes 2 kg of tea at ₹96 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹101 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹57 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  6. 6.A jug has 20 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?
  7. 7.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  8. 8.A grocer mixes 12 kg of tea at ₹26 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 20-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?
  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 grocer mixes 10 kg of tea at ₹113 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹30 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹46 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.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?
  18. 18.A 42-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?
  19. 19.A grocer mixes 11 kg of tea at ₹79 per kg with 11 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 3 kg of tea at ₹43 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 10 kg of tea at ₹36 per kg with 8 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹45 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 9 kg of tea at ₹20 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 4 kg of tea at ₹95 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  28. 28.A 22-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?
  29. 29.Rice at ₹28 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  30. 30.A grocer mixes 6 kg of tea at ₹62 per kg with 6 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹29 per kg with 10 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹40 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  34. 34.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?
  35. 35.Rice at ₹40 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹37 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.Rice at ₹21 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹38 per kg with 6 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 6 kg of tea at ₹96 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 61
  2. 50
  3. 89
  4. 81
  5. 40
  6. 50
  7. 12
  8. 31
  9. 10
  10. 36
  11. 98
  12. 5
  13. 32
  14. 75
  15. 12
  16. 50
  17. 80
  18. 28
  19. 58
  20. 100
  21. 64
  22. 3
  23. 50
  24. 52
  25. 92
  26. 55
  27. 9
  28. 2
  29. 3
  30. 67
  31. 24
  32. 20
  33. 32
  34. 70
  35. 5
  36. 5
  37. 18
  38. 2
  39. 59
  40. 92

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