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?
Correct answer is '27'. 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...
let 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 Information:
Cost of 1 pencil + 2 pens + 4 erasers = Rs. 22
Cost of 5 pencils + 4 pens + 2 erasers = Rs. 32
Let's solve the problem step by step:
Finding the cost of individual items:
Let's assume the cost of 1 pencil is 'x' Rs.
Similarly, let's assume the cost of 1 pen is 'y' Rs.
And let's assume the cost of 1 eraser is 'z' Rs.
Forming the equations:
According to the given information, we can form the following equations:
x + 2y + 4z = 22 ---- Equation 1
5x + 4y + 2z = 32 ---- Equation 2
Solving the equations:
We can solve these equations using the method of substitution or elimination.
Multiplying Equation 1 by 2 and Equation 2 by 4 to eliminate 'z', we get:
2x + 4y + 8z = 44 ---- Equation 3
20x + 16y + 8z = 128 ---- Equation 4
Subtracting Equation 3 from Equation 4, we get:
18x + 12y = 84
Dividing both sides by 6, we get:
3x + 2y = 14 ---- Equation 5
Multiplying Equation 2 by 2 and subtracting Equation 1 from it, we get:
8x + 8y - 2x - 4y - 8z = 64 - 22
6x + 4y - 8z = 42 ---- Equation 6
Adding Equation 5 and Equation 6, we get:
9x + 6y = 56
Dividing both sides by 3, we get:
3x + 2y = 18 ---- Equation 7
Calculating the cost of individual items:
Solving Equation 5 and Equation 7 simultaneously, we get:
3x + 2y = 14
3x + 2y = 18
Subtracting Equation 7 from Equation 5, we get:
0 = 4
This means the equations are inconsistent. There is no unique solution to the system of equations.
Calculating the cost of three pencils, three pens, and three erasers:
Since we couldn't find the cost of individual items, we cannot accurately calculate the cost of three pencils, three pens, and three erasers.
Therefore, the given answer of '27' is not correct.
|
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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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 pens and two erasers is Rs.32.How much will three pencils, three pens and three erasers cost?Correct answer is '27'. 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