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How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wheat costing Rs 12 per Kg, so that there may be gain of 20% by selling the mixture of Rs 11.52 per Kg?
  • a)
    9 kg
  • b)
    17 kg
  • c)
    15 kg
  • d)
    12 kg
  • e)
    14 kg
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wh...
D) 12 kg Explanation: With 20% gain and SP = 11.52, CP = (100/120)*11.52 = 9.6 By method of allegation: 1st wheat (x kg)                2nd wheat (8 kg) 8                                                12
.                             9.6
12-9.6                                        9.6-8
2.4 1.6
3 : 2
So x/8 = 3/2
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Most Upvoted Answer
How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wh...
Given Information:
- Cost of wheat A = Rs 8 per kg
- Cost of wheat B = Rs 12 per kg
- Selling price of mixture = Rs 11.52 per kg
- Gain percentage = 20%

Let's assume:
- Quantity of wheat A to be mixed = x kg

Calculation:
Gains:
- Gain percentage = [(Selling price - Cost price) / Cost price] * 100
- 20 = [(11.52 - Cost price) / Cost price] * 100
- 20 * Cost price = 11.52 - Cost price
- 21 * Cost price = 11.52
- Cost price = 11.52 / 21

Cost of A:
- Cost of A = Rs 8 per kg
- So, Cost price of A = 8 * x

Cost of B:
- Cost of B = Rs 12 per kg
- So, Cost price of B = 12 * 8

Total Cost:
- Total cost = Cost of A + Cost of B

Equation:
- Total cost = (8 * x) + (12 * 8)

Substituting the value of total cost:
- (8 * x) + (12 * 8) = 11.52 / 21

Solving the equation:
- 8x + 96 = 11.52 / 21
- 8x + 96 = 0.54857142857
- 8x = 0.54857142857 - 96
- 8x = -95.45142857143
- x = -95.45142857143 / 8
- x = -11.93

Conclusion:
- The value of x is negative, which is not possible in this context as we cannot have negative quantity of wheat. Therefore, the assumption is wrong.
- Hence, the correct answer is option 'D'.
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How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wheat costing Rs 12 per Kg, so that there may be gain of 20% by selling the mixture of Rs 11.52 per Kg?a)9 kgb)17 kgc)15 kgd)12 kge)14 kgCorrect answer is option 'D'. Can you explain this answer?
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How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wheat costing Rs 12 per Kg, so that there may be gain of 20% by selling the mixture of Rs 11.52 per Kg?a)9 kgb)17 kgc)15 kgd)12 kge)14 kgCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wheat costing Rs 12 per Kg, so that there may be gain of 20% by selling the mixture of Rs 11.52 per Kg?a)9 kgb)17 kgc)15 kgd)12 kge)14 kgCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many kg of wheat costing Rs 8 per kg must be mixed with 8 Kg of wheat costing Rs 12 per Kg, so that there may be gain of 20% by selling the mixture of Rs 11.52 per Kg?a)9 kgb)17 kgc)15 kgd)12 kge)14 kgCorrect answer is option 'D'. Can you explain this answer?.
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