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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 562 · 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 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  4. 4.A grocer mixes 2 kg of tea at ₹70 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹72 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  6. 6.Rice at ₹22 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.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?
  8. 8.A jug has 20 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?
  9. 9.Rice at ₹75 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.A grocer mixes 5 kg of tea at ₹36 per kg with 10 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹34 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  13. 13.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A grocer mixes 5 kg of tea at ₹48 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹43 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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 : 7?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.Rice at ₹38 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 20 kg of the dearer rice?
  21. 21.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?
  22. 22.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?
  23. 23.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹65 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹33 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.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 : 4?
  28. 28.Rice at ₹42 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 11 kg of tea at ₹65 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹34 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  31. 31.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  32. 32.A grocer mixes 11 kg of tea at ₹101 per kg with 11 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  34. 34.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  36. 36.A 12-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.Rice at ₹29 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹62 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 20
  2. 18
  3. 15
  4. 50
  5. 7
  6. 15
  7. 32
  8. 28
  9. 1
  10. 78
  11. 2
  12. 10
  13. 4
  14. 94
  15. 45
  16. 3
  17. 25
  18. 40
  19. 50
  20. 5
  21. 36
  22. 40
  23. 8
  24. 76
  25. 77
  26. 21
  27. 10
  28. 9
  29. 59
  30. 4
  31. 28
  32. 84
  33. 7
  34. 9
  35. 14
  36. 4
  37. 10
  38. 5
  39. 12
  40. 60

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