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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 17 · 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 ₹79 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.Rice at ₹53 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  3. 3.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹73 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.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 : 6?
  6. 6.A 80-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?
  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.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  9. 9.Rice at ₹50 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.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?
  11. 11.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  12. 12.Rice at ₹55 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A grocer mixes 12 kg of tea at ₹80 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 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?
  15. 15.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  16. 16.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹91 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A grocer mixes 12 kg of tea at ₹108 per kg with 9 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  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 4 kg of tea at ₹117 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.Rice at ₹43 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A 21-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?
  26. 26.A grocer mixes 7 kg of tea at ₹88 per kg with 7 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A grocer mixes 12 kg of tea at ₹79 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹100 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹32 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  32. 32.Rice at ₹58 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  36. 36.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  37. 37.A jug has 10 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?
  38. 38.A grocer mixes 12 kg of tea at ₹57 per kg with 8 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A grocer mixes 12 kg of tea at ₹44 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 15
  3. 50
  4. 12
  5. 6
  6. 32
  7. 70
  8. 2
  9. 6
  10. 40
  11. 10
  12. 9
  13. 74
  14. 70
  15. 32
  16. 21
  17. 46
  18. 3
  19. 93
  20. 4
  21. 25
  22. 109
  23. 50
  24. 6
  25. 9
  26. 59
  27. 50
  28. 82
  29. 103
  30. 15
  31. 30
  32. 18
  33. 18
  34. 4
  35. 21
  36. 8
  37. 68
  38. 61
  39. 8
  40. 68

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