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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 254 · 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 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  2. 2.Rice at ₹53 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A jug has 40 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?
  4. 4.A jug has 20 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?
  5. 5.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 : 1?
  6. 6.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.A grocer mixes 7 kg of tea at ₹101 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 30-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?
  9. 9.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 : 5?
  10. 10.A jug has 20 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?
  11. 11.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹66 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 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?
  15. 15.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  16. 16.A grocer mixes 8 kg of tea at ₹108 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A jug has 25 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?
  20. 20.Rice at ₹56 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A grocer mixes 7 kg of tea at ₹52 per kg with 3 kg of tea at ₹82 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 ₹62 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.Rice at ₹61 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹63 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.A jug has 40 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?
  28. 28.A grocer mixes 4 kg of tea at ₹112 per kg with 10 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹73 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.A grocer mixes 4 kg of tea at ₹74 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 77-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?
  34. 34.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?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  36. 36.Rice at ₹77 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹26 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  40. 40.A grocer mixes 9 kg of tea at ₹32 per kg with 11 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 10
  3. 40
  4. 60
  5. 3
  6. 18
  7. 98
  8. 20
  9. 24
  10. 50
  11. 8
  12. 10
  13. 51
  14. 52
  15. 4
  16. 89
  17. 40
  18. 18
  19. 50
  20. 6
  21. 61
  22. 25
  23. 25
  24. 3
  25. 80
  26. 40
  27. 60
  28. 117
  29. 5
  30. 64
  31. 24
  32. 89
  33. 21
  34. 60
  35. 12
  36. 4
  37. 8
  38. 2
  39. 10
  40. 54

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