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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 887 · 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 12 kg of tea at ₹88 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 6 kg of tea at ₹112 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹90 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 4 kg of tea at ₹119 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹35 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 6 kg of the dearer rice?
  7. 7.Rice at ₹44 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  8. 8.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?
  9. 9.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?
  10. 10.Rice at ₹63 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹54 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 5 kg of tea at ₹26 per kg with 5 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.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?
  15. 15.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  16. 16.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?
  17. 17.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  19. 19.A grocer mixes 8 kg of tea at ₹26 per kg with 8 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.Rice at ₹22 per kg is mixed with rice at ₹62 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?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  24. 24.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?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  27. 27.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?
  28. 28.A grocer mixes 2 kg of tea at ₹101 per kg with 12 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 44-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?
  30. 30.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹45 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 3 kg of tea at ₹39 per kg with 2 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹73 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  36. 36.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  37. 37.A grocer mixes 2 kg of tea at ₹53 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹54 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.Rice at ₹57 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 71
  2. 54
  3. 72
  4. 85
  5. 40
  6. 5
  7. 32
  8. 50
  9. 50
  10. 2
  11. 60
  12. 51
  13. 25
  14. 4
  15. 30
  16. 55
  17. 30
  18. 24
  19. 61
  20. 25
  21. 3
  22. 12
  23. 7
  24. 60
  25. 32
  26. 30
  27. 25
  28. 59
  29. 12
  30. 21
  31. 15
  32. 41
  33. 53
  34. 4
  35. 20
  36. 16
  37. 101
  38. 9
  39. 3
  40. 36

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