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30 Mixtures Questions and Answers

30 solved Mixtures questions with step-by-step explanations. Includes formulas, shortcuts, and tips for placement tests and competitive exams.

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Advanced mixtures questions for experienced learners. These medium-to-hard questions test deeper understanding and are ideal for those who have already mastered the basics. Each question includes a detailed explanation.

Key Formulas

Concentration = (Solute / Solution) × 100 Alligation rule: (Q₁/Q₂) = (C₂ - Cm) / (Cm - C₁) Replacement: Final = Original × (1 - x/V)^n Mean price method for mixing two items
Q1 Medium

A shopkeeper mixes 5 kg tea at Rs. 68/kg with 5 kg tea at Rs. 124/kg. What is average cost per kg?

  • A. 93
  • B. 99
  • C. 90
  • D. 96 ✓
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (5x68+5x124)/(10) = 96.
Q2 Medium

Mix 11 L of 30% acid solution with 9 L of 70% solution. Find final acid percentage.

  • A. 52
  • B. 42
  • C. 48 ✓
  • D. 44
Explanation: Final % = (11x30+9x70)/(20) = 48%.
Q3 Medium

A shopkeeper mixes 6 kg tea at Rs. 71/kg with 12 kg tea at Rs. 107/kg. What is average cost per kg?

  • A. 92
  • B. 89
  • C. 98
  • D. 95 ✓
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (6x71+12x107)/(18) = 95.
Q4 Medium

Mix 14 L of 50% acid solution with 7 L of 80% solution. Find final acid percentage.

  • A. 64
  • B. 54
  • C. 60 ✓
  • D. 56
Explanation: Final % = (14x50+7x80)/(21) = 60%.
Q5 Medium

A shopkeeper mixes 13 kg tea at Rs. 38/kg with 13 kg tea at Rs. 120/kg. What is average cost per kg?

  • A. 82
  • B. 79 ✓
  • C. 73
  • D. 76
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (13x38+13x120)/(26) = 79.
Q6 Medium

Mix 10 L of 40% acid solution with 10 L of 80% solution. Find final acid percentage.

  • A. 60 ✓
  • B. 64
  • C. 54
  • D. 56
Explanation: Final % = (10x40+10x80)/(20) = 60%.
Q7 Medium

A shopkeeper mixes 13 kg tea at Rs. 54/kg with 9 kg tea at Rs. 120/kg. What is average cost per kg?

  • A. 81 ✓
  • B. 75
  • C. 84
  • D. 78
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (13x54+9x120)/(22) = 81.
Q8 Medium

Mix 11 L of 40% acid solution with 14 L of 90% solution. Find final acid percentage.

  • A. 62
  • B. 64
  • C. 72
  • D. 68 ✓
Explanation: Final % = (11x40+14x90)/(25) = 68%.
Q9 Medium

A shopkeeper mixes 11 kg tea at Rs. 43/kg with 11 kg tea at Rs. 127/kg. What is average cost per kg?

  • A. 88
  • B. 82
  • C. 85 ✓
  • D. 79
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (11x43+11x127)/(22) = 85.
Q10 Medium

Mix 18 L of 30% acid solution with 12 L of 60% solution. Find final acid percentage.

  • A. 42 ✓
  • B. 38
  • C. 46
  • D. 36
Explanation: Final % = (18x30+12x60)/(30) = 42%.
Q11 Medium

A shopkeeper mixes 13 kg tea at Rs. 45/kg with 11 kg tea at Rs. 93/kg. What is average cost per kg?

  • A. 61
  • B. 67 ✓
  • C. 70
  • D. 64
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (13x45+11x93)/(24) = 67.
Q12 Medium

Mix 10 L of 40% acid solution with 15 L of 80% solution. Find final acid percentage.

  • A. 60
  • B. 64 ✓
  • C. 68
  • D. 58
Explanation: Final % = (10x40+15x80)/(25) = 64%.
Q13 Medium

A shopkeeper mixes 7 kg tea at Rs. 39/kg with 5 kg tea at Rs. 111/kg. What is average cost per kg?

  • A. 69 ✓
  • B. 66
  • C. 63
  • D. 72
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (7x39+5x111)/(12) = 69.
Q14 Medium

Mix 10 L of 20% acid solution with 15 L of 80% solution. Find final acid percentage.

  • A. 60
  • B. 52
  • C. 50
  • D. 56 ✓
Explanation: Final % = (10x20+15x80)/(25) = 56%.
Q15 Medium

A shopkeeper mixes 14 kg tea at Rs. 48/kg with 7 kg tea at Rs. 96/kg. What is average cost per kg?

  • A. 58
  • B. 61
  • C. 64 ✓
  • D. 67
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (14x48+7x96)/(21) = 64.
Q16 Medium

Mix 13 L of 20% acid solution with 12 L of 70% solution. Find final acid percentage.

  • A. 44 ✓
  • B. 38
  • C. 40
  • D. 48
Explanation: Final % = (13x20+12x70)/(25) = 44%.
Q17 Medium

A shopkeeper mixes 7 kg tea at Rs. 67/kg with 7 kg tea at Rs. 127/kg. What is average cost per kg?

  • A. 94
  • B. 100
  • C. 91
  • D. 97 ✓
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (7x67+7x127)/(14) = 97.
Q18 Medium

Mix 9 L of 30% acid solution with 9 L of 80% solution. Find final acid percentage.

  • A. 55 ✓
  • B. 49
  • C. 59
  • D. 51
Explanation: Final % = (9x30+9x80)/(18) = 55%.
Q19 Medium

A shopkeeper mixes 9 kg tea at Rs. 52/kg with 9 kg tea at Rs. 144/kg. What is average cost per kg?

  • A. 92
  • B. 98 ✓
  • C. 95
  • D. 101
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (9x52+9x144)/(18) = 98.
Q20 Medium

Mix 12 L of 20% acid solution with 12 L of 70% solution. Find final acid percentage.

  • A. 39
  • B. 45 ✓
  • C. 49
  • D. 41
Explanation: Final % = (12x20+12x70)/(24) = 45%.
Q21 Medium

A shopkeeper mixes 9 kg tea at Rs. 40/kg with 6 kg tea at Rs. 135/kg. What is average cost per kg?

  • A. 81
  • B. 72
  • C. 75
  • D. 78 ✓
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (9x40+6x135)/(15) = 78.
Q22 Medium

Mix 8 L of 50% acid solution with 12 L of 60% solution. Find final acid percentage.

  • A. 56 ✓
  • B. 50
  • C. 52
  • D. 60
Explanation: Final % = (8x50+12x60)/(20) = 56%.
Q23 Medium

A shopkeeper mixes 14 kg tea at Rs. 51/kg with 7 kg tea at Rs. 147/kg. What is average cost per kg?

  • A. 83 ✓
  • B. 80
  • C. 77
  • D. 86
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (14x51+7x147)/(21) = 83.
Q24 Medium

Mix 11 L of 50% acid solution with 11 L of 70% solution. Find final acid percentage.

  • A. 54
  • B. 64
  • C. 60 ✓
  • D. 56
Explanation: Final % = (11x50+11x70)/(22) = 60%.
Q25 Medium

A shopkeeper mixes 14 kg tea at Rs. 58/kg with 14 kg tea at Rs. 110/kg. What is average cost per kg?

  • A. 81
  • B. 78
  • C. 87
  • D. 84 ✓
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (14x58+14x110)/(28) = 84.
Q26 Medium

Mix 10 L of 40% acid solution with 15 L of 60% solution. Find final acid percentage.

  • A. 48
  • B. 46
  • C. 52 ✓
  • D. 56
Explanation: Final % = (10x40+15x60)/(25) = 52%.
Q27 Medium

A shopkeeper mixes 10 kg tea at Rs. 44/kg with 5 kg tea at Rs. 110/kg. What is average cost per kg?

  • A. 69
  • B. 66 ✓
  • C. 63
  • D. 60
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (10x44+5x110)/(15) = 66.
Q28 Medium

Mix 15 L of 20% acid solution with 5 L of 80% solution. Find final acid percentage.

  • A. 35 ✓
  • B. 31
  • C. 39
  • D. 29
Explanation: Final % = (15x20+5x80)/(20) = 35%.
Q29 Medium

A shopkeeper mixes 15 kg tea at Rs. 53/kg with 14 kg tea at Rs. 140/kg. What is average cost per kg?

  • A. 92
  • B. 98
  • C. 89
  • D. 95 ✓
Explanation: Average = Sum of all values ÷ Number of values. To find the total sum, multiply the average by the number of items. This simple formula solves most average problems. Average cost = (15x53+14x140)/(29) = 95.
Q30 Medium

Mix 10 L of 20% acid solution with 10 L of 60% solution. Find final acid percentage.

  • A. 44
  • B. 40 ✓
  • C. 36
  • D. 34
Explanation: Final % = (10x20+10x60)/(20) = 40%.

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