← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 173 · 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.Rice at ₹49 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹36 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 4 kg of tea at ₹42 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹25 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.Rice at ₹67 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A 42-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?
  9. 9.Rice at ₹50 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  10. 10.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 2 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹52 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.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?
  15. 15.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 : 9?
  16. 16.A grocer mixes 4 kg of tea at ₹101 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  18. 18.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?
  19. 19.Rice at ₹64 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹34 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 6 kg of tea at ₹68 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹29 per kg with 11 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹43 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.Rice at ₹52 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.Rice at ₹73 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.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?
  32. 32.A grocer mixes 10 kg of tea at ₹85 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 3 kg of tea at ₹117 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹44 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 40 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?
  36. 36.Rice at ₹75 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  37. 37.A grocer mixes 7 kg of tea at ₹31 per kg with 7 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹48 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 15-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?

Answer key

  1. 3
  2. 60
  3. 12
  4. 25
  5. 36
  6. 4
  7. 4
  8. 12
  9. 35
  10. 12
  11. 50
  12. 6
  13. 6
  14. 55
  15. 9
  16. 73
  17. 10
  18. 20
  19. 12
  20. 49
  21. 25
  22. 76
  23. 62
  24. 30
  25. 9
  26. 12
  27. 15
  28. 15
  29. 7
  30. 75
  31. 64
  32. 67
  33. 107
  34. 47
  35. 36
  36. 7
  37. 54
  38. 15
  39. 50
  40. 15

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude