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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 613 · 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 ₹22 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.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?
  5. 5.A grocer mixes 3 kg of tea at ₹41 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  7. 7.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹33 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.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?
  10. 10.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  11. 11.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  12. 12.Rice at ₹29 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A 21-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?
  14. 14.A 27-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?
  15. 15.A jug has 40 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?
  16. 16.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹69 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?
  18. 18.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.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?
  21. 21.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?
  22. 22.A grocer mixes 10 kg of tea at ₹56 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 6 kg of tea at ₹109 per kg with 9 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹57 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.Rice at ₹21 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  26. 26.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  29. 29.Rice at ₹77 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  31. 31.A grocer mixes 4 kg of tea at ₹71 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  33. 33.Rice at ₹29 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  34. 34.A grocer mixes 6 kg of tea at ₹89 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 6 kg of tea at ₹36 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  37. 37.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?
  38. 38.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  39. 39.A jug has 25 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?
  40. 40.Rice at ₹63 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 21
  2. 76
  3. 64
  4. 60
  5. 39
  6. 10
  7. 70
  8. 4
  9. 55
  10. 36
  11. 16
  12. 4
  13. 12
  14. 18
  15. 20
  16. 3
  17. 3
  18. 36
  19. 8
  20. 3
  21. 25
  22. 58
  23. 76
  24. 48
  25. 35
  26. 60
  27. 30
  28. 7
  29. 15
  30. 24
  31. 84
  32. 6
  33. 5
  34. 99
  35. 44
  36. 27
  37. 50
  38. 6
  39. 50
  40. 24

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