Quant Exam > Quant Questions > The cost of one pencil, two pens and four era...
Start Learning for Free
The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pens
and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?
- a)25
- b)26
- c)27
- d)29
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The cost of one pencil, two pens and four erasers is Rs.22 while the c...
Solutionlet the cost of 1 pencil, 1 pen and 1 eraser are respectively x, y, z. Then according to the given condition
1x + 2y + 4z = 22
5x + 4y + 2z = 32
on adding these two equations we get 6x + 6y + 6z = 54
or 3x + 3y + 3z = 27
Most Upvoted Answer
The cost of one pencil, two pens and four erasers is Rs.22 while the c...
Given:
Cost of 1 pencil + 2 pens + 4 erasers = Rs. 22
Cost of 5 pencils + 4 pens + 2 erasers = Rs. 32
Let the cost of each pencil, pen and eraser be x, y and z respectively.
From the given information, we can form the following equations:
1x + 2y + 4z = 22 ...(1)
5x + 4y + 2z = 32 ...(2)
To find the cost of 3 pencils, 3 pens and 3 erasers, we need to find the value of 3x + 3y + 3z.
Multiplying equation (1) by 3 and subtracting equation (2) multiplied by 2, we get:
3x + 6y + 12z - (10x + 8y + 4z) = 66 - 64
-7x - 2y + 8z = 2 ...(3)
Multiplying equation (1) by 4 and subtracting equation (2) multiplied by 5, we get:
4x + 8y + 16z - (25x + 20y + 10z) = 88 - 160
-21x - 12y + 6z = -72 ...(4)
Multiplying equation (3) by 3 and adding it to equation (4) multiplied by 2, we get:
-63x - 30y + 42z = -222
3x + 3y + 3z = (222 - 42z)/3
Substituting this value in equation (1), we get:
x + 2y + 4z = 22/3
Substituting the value of x + 2y from equation (1) in equation (3), we get:
-7(x + 2y) + 8z = 2
-7(22/3 - 4z) + 8z = 2
-154/3 + 28z = 2
28z = 160/3
z = 20/7
Substituting the value of z in equation (1), we get:
x + 2y = 8/7
Substituting the values of z and x + 2y in equation (2), we get:
5x + 4y = 114/7
Solving these two equations, we get:
x = 2/7, y = 25/49
Therefore, the cost of 3 pencils, 3 pens and 3 erasers is:
3x + 3y + 3z = 27/7 = 3.86 ≈ Rs. 27 (approx)
Cost of 1 pencil + 2 pens + 4 erasers = Rs. 22
Cost of 5 pencils + 4 pens + 2 erasers = Rs. 32
Let the cost of each pencil, pen and eraser be x, y and z respectively.
From the given information, we can form the following equations:
1x + 2y + 4z = 22 ...(1)
5x + 4y + 2z = 32 ...(2)
To find the cost of 3 pencils, 3 pens and 3 erasers, we need to find the value of 3x + 3y + 3z.
Multiplying equation (1) by 3 and subtracting equation (2) multiplied by 2, we get:
3x + 6y + 12z - (10x + 8y + 4z) = 66 - 64
-7x - 2y + 8z = 2 ...(3)
Multiplying equation (1) by 4 and subtracting equation (2) multiplied by 5, we get:
4x + 8y + 16z - (25x + 20y + 10z) = 88 - 160
-21x - 12y + 6z = -72 ...(4)
Multiplying equation (3) by 3 and adding it to equation (4) multiplied by 2, we get:
-63x - 30y + 42z = -222
3x + 3y + 3z = (222 - 42z)/3
Substituting this value in equation (1), we get:
x + 2y + 4z = 22/3
Substituting the value of x + 2y from equation (1) in equation (3), we get:
-7(x + 2y) + 8z = 2
-7(22/3 - 4z) + 8z = 2
-154/3 + 28z = 2
28z = 160/3
z = 20/7
Substituting the value of z in equation (1), we get:
x + 2y = 8/7
Substituting the values of z and x + 2y in equation (2), we get:
5x + 4y = 114/7
Solving these two equations, we get:
x = 2/7, y = 25/49
Therefore, the cost of 3 pencils, 3 pens and 3 erasers is:
3x + 3y + 3z = 27/7 = 3.86 ≈ Rs. 27 (approx)
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer?
Question Description
The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. 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 one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. 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 one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer?.
The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. 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 one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. 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 one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer?.
Solutions for The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The cost of one pencil, two pens and four erasers is Rs.22 while the cost of five pencils, four pensand two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?a)25b)26c)27d)29Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup