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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 711 · 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 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?
  2. 2.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.Rice at ₹62 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹104 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.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 5 : 3?
  8. 8.A grocer mixes 6 kg of tea at ₹54 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹35 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  10. 10.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?
  11. 11.A 63-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?
  12. 12.A grocer mixes 8 kg of tea at ₹118 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  14. 14.A grocer mixes 9 kg of tea at ₹44 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A grocer mixes 4 kg of tea at ₹32 per kg with 6 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A grocer mixes 3 kg of tea at ₹99 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 20-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?
  20. 20.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?
  21. 21.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?
  22. 22.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  23. 23.A grocer mixes 4 kg of tea at ₹22 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 2 kg of tea at ₹33 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  28. 28.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?
  29. 29.A jug has 40 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?
  30. 30.A grocer mixes 5 kg of tea at ₹26 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  32. 32.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  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 10 kg of tea at ₹77 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 4 kg of tea at ₹113 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  37. 37.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  39. 39.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.A grocer mixes 11 kg of tea at ₹68 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 52
  2. 10
  3. 40
  4. 1
  5. 77
  6. 50
  7. 10
  8. 51
  9. 4
  10. 24
  11. 27
  12. 85
  13. 6
  14. 51
  15. 75
  16. 59
  17. 60
  18. 69
  19. 8
  20. 55
  21. 25
  22. 3
  23. 63
  24. 21
  25. 60
  26. 63
  27. 3
  28. 60
  29. 28
  30. 54
  31. 12
  32. 12
  33. 40
  34. 65
  35. 90
  36. 27
  37. 3
  38. 10
  39. 10
  40. 77

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