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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 543 · 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.

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  1. 1.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  5. 5.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  6. 6.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹75 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.Rice at ₹79 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  14. 14.Rice at ₹41 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.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?
  16. 16.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?
  17. 17.A grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  20. 20.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.A grocer mixes 11 kg of tea at ₹56 per kg with 10 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.A grocer mixes 3 kg of tea at ₹67 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A grocer mixes 6 kg of tea at ₹60 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹36 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.A 56-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?
  30. 30.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 6 kg of tea at ₹92 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹24 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹71 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  35. 35.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  36. 36.A 35-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?
  37. 37.A grocer mixes 6 kg of tea at ₹98 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 6 kg of tea at ₹58 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A grocer mixes 12 kg of tea at ₹38 per kg with 8 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 24
  2. 25
  3. 20
  4. 8
  5. 14
  6. 12
  7. 50
  8. 1
  9. 5
  10. 15
  11. 18
  12. 50
  13. 14
  14. 18
  15. 75
  16. 25
  17. 108
  18. 18
  19. 6
  20. 6
  21. 18
  22. 76
  23. 32
  24. 91
  25. 52
  26. 51
  27. 42
  28. 16
  29. 8
  30. 50
  31. 86
  32. 26
  33. 12
  34. 42
  35. 6
  36. 5
  37. 82
  38. 80
  39. 25
  40. 58

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