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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 682 · 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 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?
  2. 2.A grocer mixes 6 kg of tea at ₹33 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  5. 5.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?
  6. 6.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.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 4 : 5?
  8. 8.Rice at ₹80 per kg is mixed with rice at ₹146 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  11. 11.A grocer mixes 9 kg of tea at ₹31 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A jug has 10 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?
  13. 13.A grocer mixes 6 kg of tea at ₹28 per kg with 6 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹109 per kg with 3 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.A grocer mixes 3 kg of tea at ₹119 per kg with 6 kg of tea at ₹44 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 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  19. 19.Rice at ₹71 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 5 kg of tea at ₹64 per kg with 7 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 8 kg of tea at ₹96 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 4 kg of tea at ₹67 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹56 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 20-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?
  27. 27.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A grocer mixes 7 kg of tea at ₹65 per kg with 7 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹29 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.Rice at ₹37 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.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?
  32. 32.A grocer mixes 3 kg of tea at ₹20 per kg with 9 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  34. 34.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 3 kg of tea at ₹52 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  37. 37.A grocer mixes 8 kg of tea at ₹26 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.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?
  40. 40.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 50
  2. 48
  3. 76
  4. 2
  5. 55
  6. 68
  7. 28
  8. 48
  9. 36
  10. 4
  11. 59
  12. 75
  13. 49
  14. 106
  15. 12
  16. 69
  17. 60
  18. 6
  19. 24
  20. 64
  21. 57
  22. 74
  23. 2
  24. 58
  25. 48
  26. 4
  27. 6
  28. 82
  29. 18
  30. 4
  31. 20
  32. 71
  33. 24
  34. 60
  35. 56
  36. 9
  37. 53
  38. 3
  39. 40
  40. 8

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