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The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?
- a)Rs. 16
- b)Rs. 14
- c)Rs. 12
- d)Rs. 18
- e)None of these
Correct answer is option 'E'. Can you explain this answer?
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The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and...
Let cost of one pen and one pencil are Rs x and Rs y respectively
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The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and...
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The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and...
Given information:
Cost of 8 pens + 4 pencils = Rs. 176
Cost of 2 pens + 2 pencils = Rs. 48
To find: Cost of one pen
Let's assume the cost of one pen as 'x' and the cost of one pencil as 'y'.
Equations can be formed as follows:
8x + 4y = 176
2x + 2y = 48
Simplifying the second equation by dividing both sides by 2, we get:
x + y = 24
Now we have a system of two equations with two variables.
We can solve this system of equations using the method of substitution or elimination.
Using the method of elimination:
Multiply the second equation by 4 to make the coefficients of 'y' the same in both equations:
4(x + y) = 4(24)
4x + 4y = 96
Now subtract the first equation from the modified second equation:
(4x + 4y) - (8x + 4y) = 96 - 176
-4x = -80
Divide both sides by -4:
x = 20
Therefore, the cost of one pen is Rs. 20.
The correct answer is option 'E' (None of these).
Cost of 8 pens + 4 pencils = Rs. 176
Cost of 2 pens + 2 pencils = Rs. 48
To find: Cost of one pen
Let's assume the cost of one pen as 'x' and the cost of one pencil as 'y'.
Equations can be formed as follows:
8x + 4y = 176
2x + 2y = 48
Simplifying the second equation by dividing both sides by 2, we get:
x + y = 24
Now we have a system of two equations with two variables.
We can solve this system of equations using the method of substitution or elimination.
Using the method of elimination:
Multiply the second equation by 4 to make the coefficients of 'y' the same in both equations:
4(x + y) = 4(24)
4x + 4y = 96
Now subtract the first equation from the modified second equation:
(4x + 4y) - (8x + 4y) = 96 - 176
-4x = -80
Divide both sides by -4:
x = 20
Therefore, the cost of one pen is Rs. 20.
The correct answer is option 'E' (None of these).
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The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. Can you explain this answer?
Question Description
The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. 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 The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. Can you explain this answer?.
The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. 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 The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of 8 pens and 4 pencils is Rs. 176 and the cost of 2 pens and 2 pencils is Rs. 48. What is the cost of one pen?a)Rs. 16b)Rs. 14c)Rs. 12d)Rs. 18e)None of theseCorrect answer is option 'E'. Can you explain this answer?.
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