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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 194 · 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 ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  3. 3.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  4. 4.A grocer mixes 6 kg of tea at ₹53 per kg with 12 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A grocer mixes 3 kg of tea at ₹69 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹29 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A grocer mixes 6 kg of tea at ₹44 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 12 kg of tea at ₹25 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  12. 12.Rice at ₹54 per kg is mixed with rice at ₹59 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?
  13. 13.Rice at ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹86 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.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?
  17. 17.Rice at ₹66 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  19. 19.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?
  20. 20.A grocer mixes 8 kg of tea at ₹23 per kg with 8 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.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 : 5?
  23. 23.Rice at ₹32 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  25. 25.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  27. 27.A grocer mixes 6 kg of tea at ₹79 per kg with 11 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.Rice at ₹25 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.Rice at ₹70 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  32. 32.A 30-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?
  33. 33.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?
  34. 34.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A grocer mixes 3 kg of tea at ₹52 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹54 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 8 kg of tea at ₹50 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.Rice at ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?

Answer key

  1. 4
  2. 16
  3. 8
  4. 95
  5. 50
  6. 59
  7. 54
  8. 52
  9. 86
  10. 43
  11. 16
  12. 4
  13. 12
  14. 98
  15. 40
  16. 20
  17. 4
  18. 40
  19. 25
  20. 40
  21. 25
  22. 24
  23. 20
  24. 6
  25. 2
  26. 12
  27. 57
  28. 8
  29. 6
  30. 6
  31. 10
  32. 20
  33. 36
  34. 3
  35. 36
  36. 24
  37. 55
  38. 71
  39. 6
  40. 28

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