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How many kilograms of wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?
- a)24 kg
- b)20 kg
- c)42 kg
- d)36 kg
- e)22 kg
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
How many kilograms of wheat at Rs 42 per kg be mixed with 25 kg of whe...
B) 20 kg Explanation: Let x kg of wheat at Rs 42 per kg be mixed SP = 40, gain% = 25%, so CP = (100/125) * 40 = Rs 32 So 1st wheat(x kg) 2nd wheat(25 kg) 42 24
. 32
8 10
So 8/10 = x/25 Solve, x = 20
. 32
8 10
So 8/10 = x/25 Solve, x = 20
Most Upvoted Answer
How many kilograms of wheat at Rs 42 per kg be mixed with 25 kg of whe...
To solve this question, we can use the concept of weighted averages. Let's break down the solution into steps:
Step 1: Understand the problem
We are given the cost of wheat per kilogram at two different rates, the quantity of one type of wheat, and the desired gain percentage when selling the mixture.
Step 2: Formulate the equation
To find the quantity of wheat to be mixed, we need to set up an equation based on the given information.
Let the quantity of wheat to be mixed be x kg.
The cost of the wheat at Rs 42 per kg is Rs 42x.
The cost of the wheat at Rs 24 per kg is Rs 24*25 = Rs 600.
According to the problem, the selling price of the mixture at Rs 40 per kg results in a gain of 25%. So, the cost price of the mixture can be calculated as:
Cost price of the mixture = Selling price of the mixture / (1 + Gain/100)
Cost price of the mixture = 40 / (1 + 25/100) = 40 / (1 + 0.25) = 40 / 1.25 = Rs 32 per kg
Step 3: Set up the equation
The equation can be set up based on the cost of the wheat and the quantity of wheat to be mixed.
42x + 600 = 32(x + 25)
Step 4: Solve the equation
42x + 600 = 32x + 800
42x - 32x = 800 - 600
10x = 200
x = 200 / 10
x = 20 kg
Therefore, 20 kg of wheat at Rs 42 per kg should be mixed with 25 kg of wheat at Rs 24 per kg to achieve a gain of 25% when selling the mixture at Rs 40 per kg.
Step 1: Understand the problem
We are given the cost of wheat per kilogram at two different rates, the quantity of one type of wheat, and the desired gain percentage when selling the mixture.
Step 2: Formulate the equation
To find the quantity of wheat to be mixed, we need to set up an equation based on the given information.
Let the quantity of wheat to be mixed be x kg.
The cost of the wheat at Rs 42 per kg is Rs 42x.
The cost of the wheat at Rs 24 per kg is Rs 24*25 = Rs 600.
According to the problem, the selling price of the mixture at Rs 40 per kg results in a gain of 25%. So, the cost price of the mixture can be calculated as:
Cost price of the mixture = Selling price of the mixture / (1 + Gain/100)
Cost price of the mixture = 40 / (1 + 25/100) = 40 / (1 + 0.25) = 40 / 1.25 = Rs 32 per kg
Step 3: Set up the equation
The equation can be set up based on the cost of the wheat and the quantity of wheat to be mixed.
42x + 600 = 32(x + 25)
Step 4: Solve the equation
42x + 600 = 32x + 800
42x - 32x = 800 - 600
10x = 200
x = 200 / 10
x = 20 kg
Therefore, 20 kg of wheat at Rs 42 per kg should be mixed with 25 kg of wheat at Rs 24 per kg to achieve a gain of 25% when selling the mixture at Rs 40 per kg.
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How many kilograms of wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. Can you explain this answer?
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How many kilograms of wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. 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 wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. 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 wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. Can you explain this answer?.
How many kilograms of wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. 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 wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. 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 wheat at Rs 42 per kg be mixed with 25 kg of wheat at Rs 24 per kg so that on selling the mixture at Rs 40 per kg, there is a gain of 25%?a)24 kgb)20 kgc)42 kgd)36 kge)22 kgCorrect answer is option 'B'. Can you explain this answer?.
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