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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 476 · 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 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?
  2. 2.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  3. 3.Rice at ₹77 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  4. 4.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  5. 5.Rice at ₹34 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.Rice at ₹79 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.A grocer mixes 12 kg of tea at ₹50 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  11. 11.A grocer mixes 2 kg of tea at ₹87 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  13. 13.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?
  14. 14.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 : 11?
  15. 15.Rice at ₹56 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.Rice at ₹40 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.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?
  18. 18.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  19. 19.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?
  20. 20.A grocer mixes 7 kg of tea at ₹69 per kg with 7 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A 12-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?
  24. 24.Rice at ₹23 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.A 48-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?
  26. 26.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?
  27. 27.A grocer mixes 9 kg of tea at ₹40 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹44 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.A jug has 40 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?
  31. 31.A grocer mixes 4 kg of tea at ₹110 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹79 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.A 32-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?
  35. 35.A grocer mixes 2 kg of tea at ₹113 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 12 kg of tea at ₹98 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 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?
  38. 38.A jug has 40 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?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?

Answer key

  1. 64
  2. 24
  3. 30
  4. 24
  5. 3
  6. 36
  7. 65
  8. 5
  9. 12
  10. 8
  11. 105
  12. 3
  13. 80
  14. 12
  15. 8
  16. 12
  17. 20
  18. 40
  19. 50
  20. 78
  21. 9
  22. 20
  23. 6
  24. 35
  25. 32
  26. 70
  27. 34
  28. 1
  29. 20
  30. 28
  31. 65
  32. 70
  33. 9
  34. 16
  35. 71
  36. 74
  37. 55
  38. 36
  39. 9
  40. 24

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