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Quiz: Pie Chart-1

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Number of Questions: 4

Question: 1 -

What is the central angle of the sector corresponding to the expenditure incurred on Royalty?

Options:

  1. 24°

  2. 48°

  3. 15°

  4. 54°

    5. Answer:

    54°
    Solution:

    Central angle corresponding to Royalty = (15% of 360)°
     
    = ( 15 x 360 ) °
    100
      = 54°.

Question: 2 -

The price of the book is marked 20% above the C.P. If the marked price of the book is Rs. 180, then what is the cost of the paper used in a single copy of the book?

Options:

  1. Rs. 37.50

  2. Rs. 42

  3. Rs. 36

  4. Rs. 44.25

    5. Answer:

    Rs. 37.50
    Solution:

    Clearly, marked price of the book = 120% of C.P.

    Also, cost of paper = 25% of C.P

    Let the cost of paper for a single book be Rs. n.

    Then, 120 : 25 = 180 : n     =>     n = Rs. ( 25 x 180 ) = Rs. 37.50 .
    120

Question: 3 -

Directions to Solve

The following pie-chart shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and the answer the questions based on it.

Various Expenditures (in percentage) Incurred in Publishing a Book

If for a certain quantity of books, the publisher has to pay Rs. 30,600 as printing cost, then what will be amount of royalty to be paid for these books?

Options:

  1. Rs. 21,200

  2. Rs. 22,950

  3. Rs. 19,450

  4. Rs. 26,150

    5. Answer:

    Rs. 22,950
    Solution:

    Let the amount of Royalty to be paid for these books be Rs. r.

    Then, 20 : 15 = 30600 : r     =>     r = Rs. ( 30600 x 15 ) = Rs. 22,950.
    20

Question: 4 -

If 5500 copies are published and the transportation cost on them amounts to Rs. 82500, then what should be the selling price of the book so that the publisher can earn a profit of 25%?

Options:

  1. Rs. 191.50

  2. Rs. 180

  3. Rs. 175

  4. Rs. 187.50

    5. Answer:

    Rs. 187.50
    Solution:

    For the publisher to earn a profit of 25%, S.P. = 125% of C.P.

    Also Transportation Cost = 10% of C.P.

    Let the S.P. of 5500 books be Rs. x.

    Then, 10 : 125 = 82500 : x     =>     x = Rs. ( 125 x 82500 ) = Rs. 1031250.
    10
    Therefore S.P. of one book = Rs. ( 1031250 ) = Rs. 187.50 .
    5500