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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 748 · 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 ₹75 per kg with 11 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 3 kg of tea at ₹94 per kg with 5 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 10-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?
  4. 4.A grocer mixes 6 kg of tea at ₹119 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  7. 7.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.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?
  10. 10.A grocer mixes 2 kg of tea at ₹42 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 12 kg of tea at ₹83 per kg with 2 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹32 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  17. 17.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  18. 18.A grocer mixes 9 kg of tea at ₹79 per kg with 9 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  22. 22.Rice at ₹79 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹112 per kg with 3 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 9 kg of tea at ₹71 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 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?
  27. 27.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?
  28. 28.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 : 3?
  29. 29.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹92 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹54 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.Rice at ₹50 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A 28-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?
  36. 36.A jug has 40 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?
  37. 37.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  38. 38.A grocer mixes 2 kg of tea at ₹76 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 10 kg of tea at ₹56 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?

Answer key

  1. 42
  2. 99
  3. 2
  4. 78
  5. 60
  6. 5
  7. 8
  8. 28
  9. 25
  10. 33
  11. 50
  12. 85
  13. 20
  14. 50
  15. 24
  16. 3
  17. 20
  18. 68
  19. 3
  20. 50
  21. 8
  22. 32
  23. 64
  24. 99
  25. 84
  26. 55
  27. 40
  28. 12
  29. 14
  30. 12
  31. 58
  32. 75
  33. 6
  34. 20
  35. 4
  36. 20
  37. 4
  38. 68
  39. 86
  40. 32

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