← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 973 · 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 50 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?
  2. 2.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 : 1?
  3. 3.Rice at ₹65 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A grocer mixes 11 kg of tea at ₹105 per kg with 11 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 5 kg of tea at ₹85 per kg with 10 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹97 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  10. 10.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  11. 11.Rice at ₹36 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 12 kg of the dearer rice?
  12. 12.A grocer mixes 8 kg of tea at ₹61 per kg with 10 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹21 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  15. 15.A 56-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?
  16. 16.A grocer mixes 8 kg of tea at ₹110 per kg with 6 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 12 kg of tea at ₹49 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 10 kg of tea at ₹111 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.A grocer mixes 8 kg of tea at ₹94 per kg with 8 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹72 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  23. 23.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A grocer mixes 4 kg of tea at ₹85 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 5 kg of tea at ₹65 per kg with 2 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 10-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?
  27. 27.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹32 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹110 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 6 kg of tea at ₹99 per kg with 12 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A jug has 10 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?
  35. 35.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  36. 36.A grocer mixes 10 kg of tea at ₹93 per kg with 12 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  39. 39.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 25
  2. 3
  3. 35
  4. 111
  5. 81
  6. 47
  7. 70
  8. 5
  9. 24
  10. 2
  11. 8
  12. 71
  13. 4
  14. 14
  15. 32
  16. 77
  17. 50
  18. 81
  19. 5
  20. 21
  21. 87
  22. 48
  23. 25
  24. 51
  25. 79
  26. 2
  27. 20
  28. 2
  29. 36
  30. 14
  31. 87
  32. 75
  33. 50
  34. 55
  35. 24
  36. 105
  37. 8
  38. 12
  39. 60
  40. 75

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude