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In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?
- a)3:7
- b)7:3
- c)6:4
- d)4:6
Correct answer is option 'B'. Can you explain this answer?
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In what ratio must a grocer mix two varieties of pulses costing Rs.15 ...
Problem:
The grocer wants to mix two varieties of pulses costing Rs.15 and Rs.20 per kg respectively to obtain a mixture worth Rs.16.50 per kg. In what ratio must the grocer mix the two varieties of pulses?
Solution:
Let's assume that the grocer mixes x kg of the first variety of pulses and y kg of the second variety of pulses to obtain a total mixture of (x+y) kg.
Step 1: Setting up the equation:
The cost of the first variety of pulses is Rs.15 per kg, so the total cost of x kg of the first variety of pulses would be 15x.
Similarly, the cost of the second variety of pulses is Rs.20 per kg, so the total cost of y kg of the second variety of pulses would be 20y.
The total cost of the mixture is given as Rs.16.50 per kg, so the total cost of the (x+y) kg mixture would be 16.50(x+y).
We can now set up the equation:
15x + 20y = 16.50(x+y)
Step 2: Simplifying the equation:
Let's simplify the equation by expanding the brackets:
15x + 20y = 16.50x + 16.50y
Now, let's move all the terms with x to one side and all the terms with y to the other side:
15x - 16.50x = 16.50y - 20y
-1.50x = -3.50y
Step 3: Finding the ratio:
To find the ratio of x to y, we can divide both sides of the equation by -3.50:
x/y = -3.50/-1.50
x/y = 7/3
Therefore, the ratio in which the grocer must mix the two varieties of pulses is 7:3.
The grocer wants to mix two varieties of pulses costing Rs.15 and Rs.20 per kg respectively to obtain a mixture worth Rs.16.50 per kg. In what ratio must the grocer mix the two varieties of pulses?
Solution:
Let's assume that the grocer mixes x kg of the first variety of pulses and y kg of the second variety of pulses to obtain a total mixture of (x+y) kg.
Step 1: Setting up the equation:
The cost of the first variety of pulses is Rs.15 per kg, so the total cost of x kg of the first variety of pulses would be 15x.
Similarly, the cost of the second variety of pulses is Rs.20 per kg, so the total cost of y kg of the second variety of pulses would be 20y.
The total cost of the mixture is given as Rs.16.50 per kg, so the total cost of the (x+y) kg mixture would be 16.50(x+y).
We can now set up the equation:
15x + 20y = 16.50(x+y)
Step 2: Simplifying the equation:
Let's simplify the equation by expanding the brackets:
15x + 20y = 16.50x + 16.50y
Now, let's move all the terms with x to one side and all the terms with y to the other side:
15x - 16.50x = 16.50y - 20y
-1.50x = -3.50y
Step 3: Finding the ratio:
To find the ratio of x to y, we can divide both sides of the equation by -3.50:
x/y = -3.50/-1.50
x/y = 7/3
Therefore, the ratio in which the grocer must mix the two varieties of pulses is 7:3.
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In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer?
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In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer?.
In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In what ratio must a grocer mix two varieties of pulses costing Rs.15 and Rs. 20 per kg respectively to obtain a mixture worth Rs.16.50 per Kg?a)3:7b)7:3c)6:4d)4:6Correct answer is option 'B'. Can you explain this answer?.
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