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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?
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    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
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    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.
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    Read the passage below and solve the questions based on it Newspaper major The Asian Times is dying to enter the city of Paperabad. where already two newspapers The DeccanCity and Good Morning Pape rah ad are in circulation. The population of the city is 35 lakhs of which, according to the recent survey, 60% read newspaper. The two evening newspapers sell at Rs 1.75 per copy on weekdays and Rs3.00 per copy on Sundays. The Asian Times promised its readers newspapers at Rs 1.50 per copy per day. Since people wcrc aware of the quality7 of the paper, the management thought that it can capture a major chunk of the newspaper reading population. On weekdays, the operational cost of the The Asian Times w-crc Rs 62.500 per day and the cost for the material and printing charges was Rs 2.75 per newspaper. For the Sunday edition the cost of the newspaper per copy was Rs 3.00 and the operational cost were Rs 75,000. The number of the copies of tire newspaper The Asian Tunes sold on Sunday was 16.66% less than the number of copies sold on any of the week days. The number of copies sold on any weekday being the same. The amount collected through the advertisement on any weekday was the same and equaled Rs 2.50,000 per day while for Sunday it was 4.35.000.Q.If 50,000 of the readers of The Deccan City now read The Asian Times on all weekdays, how much profit would The Asian Times expect to make every week?

    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?
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    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?.
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