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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 773 · 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 ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.Rice at ₹27 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.Rice at ₹68 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.A jug has 10 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?
  9. 9.A 27-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?
  10. 10.A grocer mixes 4 kg of tea at ₹50 per kg with 10 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 7 kg of tea at ₹56 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 50-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?
  16. 16.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  17. 17.A grocer mixes 7 kg of tea at ₹62 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  19. 19.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?
  20. 20.A 45-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?
  21. 21.Rice at ₹22 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 5 kg of tea at ₹87 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.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 : 1?
  26. 26.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  27. 27.A 55-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?
  28. 28.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.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?
  31. 31.Rice at ₹62 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  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.Rice at ₹70 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.A grocer mixes 8 kg of tea at ₹59 per kg with 6 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  40. 40.Rice at ₹44 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 21
  2. 10
  3. 2
  4. 24
  5. 50
  6. 60
  7. 60
  8. 68
  9. 12
  10. 85
  11. 50
  12. 9
  13. 3
  14. 62
  15. 10
  16. 27
  17. 65
  18. 6
  19. 28
  20. 20
  21. 2
  22. 80
  23. 61
  24. 24
  25. 5
  26. 8
  27. 15
  28. 8
  29. 10
  30. 50
  31. 6
  32. 6
  33. 52
  34. 1
  35. 25
  36. 6
  37. 56
  38. 40
  39. 3
  40. 15

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