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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 259 · 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 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A jug has 20 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?
  3. 3.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?
  4. 4.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  5. 5.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?
  6. 6.A 24-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?
  7. 7.A grocer mixes 6 kg of tea at ₹52 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹23 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 4 kg of tea at ₹90 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  15. 15.A jug has 25 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?
  16. 16.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  17. 17.Rice at ₹53 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  21. 21.A 21-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?
  22. 22.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹20 per kg with 12 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹36 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 5 kg of tea at ₹36 per kg with 5 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹103 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹46 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  31. 31.Rice at ₹62 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A 9-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 40 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?
  34. 34.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 4 kg of tea at ₹85 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹21 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹21 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  39. 39.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?
  40. 40.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?

Answer key

  1. 40
  2. 40
  3. 50
  4. 6
  5. 60
  6. 16
  7. 50
  8. 6
  9. 60
  10. 77
  11. 40
  12. 28
  13. 25
  14. 35
  15. 50
  16. 12
  17. 2
  18. 6
  19. 20
  20. 10
  21. 14
  22. 16
  23. 92
  24. 43
  25. 65
  26. 106
  27. 6
  28. 40
  29. 5
  30. 18
  31. 1
  32. 9
  33. 52
  34. 36
  35. 55
  36. 51
  37. 60
  38. 6
  39. 50
  40. 75

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