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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 345 · 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 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹34 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  3. 3.Rice at ₹25 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  4. 4.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?
  5. 5.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  6. 6.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?
  7. 7.A grocer mixes 6 kg of tea at ₹88 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.Rice at ₹51 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.A grocer mixes 9 kg of tea at ₹85 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 6 kg of tea at ₹73 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹54 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹113 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 11 kg of tea at ₹66 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.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?
  17. 17.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?
  18. 18.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  19. 19.Rice at ₹57 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.A 60-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?
  21. 21.A jug has 10 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?
  22. 22.A grocer mixes 2 kg of tea at ₹91 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.A grocer mixes 4 kg of tea at ₹22 per kg with 12 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹40 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  27. 27.Rice at ₹29 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.Rice at ₹50 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.A 18-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?
  30. 30.A 12-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?
  31. 31.A grocer mixes 4 kg of tea at ₹98 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 70-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?
  33. 33.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?
  34. 34.A grocer mixes 4 kg of tea at ₹52 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹38 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.Rice at ₹64 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.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?
  38. 38.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?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  40. 40.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 40
  2. 24
  3. 3
  4. 40
  5. 40
  6. 36
  7. 68
  8. 2
  9. 24
  10. 89
  11. 69
  12. 16
  13. 63
  14. 78
  15. 25
  16. 76
  17. 50
  18. 16
  19. 30
  20. 15
  21. 80
  22. 104
  23. 12
  24. 6
  25. 61
  26. 3
  27. 8
  28. 3
  29. 6
  30. 8
  31. 68
  32. 20
  33. 55
  34. 43
  35. 6
  36. 9
  37. 50
  38. 28
  39. 6
  40. 18

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