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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 409 · 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 9 kg of tea at ₹50 per kg with 9 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹63 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  6. 6.Rice at ₹49 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  7. 7.A grocer mixes 5 kg of tea at ₹44 per kg with 5 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹57 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 15 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  13. 13.Rice at ₹50 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.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?
  15. 15.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹109 per kg with 10 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 8 kg of tea at ₹50 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹79 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 9 kg of tea at ₹42 per kg with 9 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A jug has 40 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?
  27. 27.Rice at ₹33 per kg is mixed with rice at ₹54 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?
  28. 28.A grocer mixes 7 kg of tea at ₹40 per kg with 8 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  30. 30.A jug has 20 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?
  31. 31.A grocer mixes 2 kg of tea at ₹36 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 5 kg of tea at ₹22 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹82 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 9 kg of tea at ₹100 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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 : 4?
  36. 36.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  37. 37.Rice at ₹80 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.Rice at ₹46 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.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?
  40. 40.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?

Answer key

  1. 59
  2. 43
  3. 70
  4. 24
  5. 9
  6. 16
  7. 67
  8. 10
  9. 36
  10. 12
  11. 12
  12. 36
  13. 32
  14. 50
  15. 60
  16. 8
  17. 12
  18. 55
  19. 68
  20. 75
  21. 79
  22. 25
  23. 15
  24. 3
  25. 9
  26. 52
  27. 10
  28. 32
  29. 7
  30. 28
  31. 44
  32. 46
  33. 72
  34. 76
  35. 2
  36. 12
  37. 12
  38. 8
  39. 50
  40. 2

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