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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 149 · 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 3 kg of tea at ₹98 per kg with 7 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.Rice at ₹46 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  4. 4.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  5. 5.Rice at ₹25 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  6. 6.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?
  7. 7.A 56-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?
  8. 8.A grocer mixes 9 kg of tea at ₹64 per kg with 9 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 11 kg of tea at ₹21 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹27 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.A grocer mixes 12 kg of tea at ₹90 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 4 kg of tea at ₹70 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹23 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.Rice at ₹72 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.Rice at ₹36 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.A 48-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?
  20. 20.Rice at ₹76 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  21. 21.A grocer mixes 2 kg of tea at ₹92 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 : 10?
  23. 23.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?
  24. 24.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?
  25. 25.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 1 : 4?
  26. 26.A grocer mixes 9 kg of tea at ₹21 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 10 kg of tea at ₹41 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  30. 30.A grocer mixes 5 kg of tea at ₹105 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹26 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  33. 33.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?
  34. 34.A grocer mixes 2 kg of tea at ₹63 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A grocer mixes 12 kg of tea at ₹103 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹89 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  39. 39.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 105
  2. 3
  3. 3
  4. 27
  5. 35
  6. 70
  7. 24
  8. 85
  9. 27
  10. 64
  11. 12
  12. 2
  13. 92
  14. 82
  15. 24
  16. 14
  17. 4
  18. 15
  19. 18
  20. 24
  21. 85
  22. 24
  23. 36
  24. 50
  25. 27
  26. 23
  27. 69
  28. 50
  29. 10
  30. 78
  31. 15
  32. 8
  33. 40
  34. 43
  35. 60
  36. 90
  37. 47
  38. 9
  39. 5
  40. 1

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