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How many kilograms of rice costing Rs. 9 per kg must be mixed with 27kg of rice costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?
- a)63
- b)56
- c)49
- d)35
- e)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
How many kilograms of rice costing Rs. 9 per kg must be mixed with 27k...
Answer – a) 63 Explanation : By rule of allegation: – 9 7
….8.4…..
1.4 0.6
So, x/27 = 1.4/0.6, we get x = 63 kg
….8.4…..
1.4 0.6
So, x/27 = 1.4/0.6, we get x = 63 kg
Most Upvoted Answer
How many kilograms of rice costing Rs. 9 per kg must be mixed with 27k...
To solve this problem, we can use the concept of weighted averages. Let's break down the solution into the following steps:
Step 1: Understand the given information
- Rice costing Rs. 9 per kg needs to be mixed with 27 kg of rice costing Rs. 7 per kg.
- The desired outcome is a mixture that can be sold at Rs. 9.24 per kg.
- The goal is to find the quantity of rice costing Rs. 9 per kg that needs to be added.
Step 2: Find the weighted average cost of the mixture
To achieve a 10% gain by selling the mixture at Rs. 9.24 per kg, the weighted average cost of the mixture should be Rs. 8.40 per kg. We can calculate this using the formula:
Average cost = (Quantity 1 * Cost 1 + Quantity 2 * Cost 2) / (Quantity 1 + Quantity 2)
Where:
- Quantity 1 and Cost 1 represent the quantity and cost of the first component (rice costing Rs. 9 per kg).
- Quantity 2 and Cost 2 represent the quantity and cost of the second component (rice costing Rs. 7 per kg).
Let's substitute the given values into the formula:
8.40 = (Quantity 1 * 9 + 27 * 7) / (Quantity 1 + 27)
Step 3: Solve the equation
To solve the equation, we can cross-multiply and simplify:
8.40(Quantity 1 + 27) = 9Quantity 1 + 27 * 7
8.40Quantity 1 + 226.80 = 9Quantity 1 + 189
0.60Quantity 1 = 37.80
Quantity 1 = 37.80 / 0.60
Quantity 1 = 63
Step 4: Interpret the result
The result, Quantity 1 = 63, indicates that 63 kg of rice costing Rs. 9 per kg must be mixed with 27 kg of rice costing Rs. 7 per kg to achieve a gain of 10% by selling the mixture at Rs. 9.24 per kg.
Therefore, the correct answer is option A) 63 kg.
Step 1: Understand the given information
- Rice costing Rs. 9 per kg needs to be mixed with 27 kg of rice costing Rs. 7 per kg.
- The desired outcome is a mixture that can be sold at Rs. 9.24 per kg.
- The goal is to find the quantity of rice costing Rs. 9 per kg that needs to be added.
Step 2: Find the weighted average cost of the mixture
To achieve a 10% gain by selling the mixture at Rs. 9.24 per kg, the weighted average cost of the mixture should be Rs. 8.40 per kg. We can calculate this using the formula:
Average cost = (Quantity 1 * Cost 1 + Quantity 2 * Cost 2) / (Quantity 1 + Quantity 2)
Where:
- Quantity 1 and Cost 1 represent the quantity and cost of the first component (rice costing Rs. 9 per kg).
- Quantity 2 and Cost 2 represent the quantity and cost of the second component (rice costing Rs. 7 per kg).
Let's substitute the given values into the formula:
8.40 = (Quantity 1 * 9 + 27 * 7) / (Quantity 1 + 27)
Step 3: Solve the equation
To solve the equation, we can cross-multiply and simplify:
8.40(Quantity 1 + 27) = 9Quantity 1 + 27 * 7
8.40Quantity 1 + 226.80 = 9Quantity 1 + 189
0.60Quantity 1 = 37.80
Quantity 1 = 37.80 / 0.60
Quantity 1 = 63
Step 4: Interpret the result
The result, Quantity 1 = 63, indicates that 63 kg of rice costing Rs. 9 per kg must be mixed with 27 kg of rice costing Rs. 7 per kg to achieve a gain of 10% by selling the mixture at Rs. 9.24 per kg.
Therefore, the correct answer is option A) 63 kg.
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How many kilograms of rice costing Rs. 9 per kg must be mixed with 27kg of rice costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?a)63b)56c)49d)35e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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How many kilograms of rice costing Rs. 9 per kg must be mixed with 27kg of rice costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?a)63b)56c)49d)35e)None of theseCorrect answer is option 'A'. 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 kilograms of rice costing Rs. 9 per kg must be mixed with 27kg of rice costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?a)63b)56c)49d)35e)None of theseCorrect answer is option 'A'. 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 kilograms of rice costing Rs. 9 per kg must be mixed with 27kg of rice costing Rs.7 per kg so that there may be gain of 10% by selling the mixture at Rs.9.24 per kg?a)63b)56c)49d)35e)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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