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Pie Charts Questions Quiz – 1

Q1. What is the central angle of the sector corresponding to the expenditure incurred on Royalty ? 54 degree 48 degree 45 degree 40 degree Q2. Which two expenditures together have a central angle of 108 degree in pie chart ? Binding cost + Royalty cost Printing cost + Paper cost Binding cost + Transportation
By Radhika Rathore Oct 7, 2015, 15:10 IST

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

[caption id="attachment_14692" align="alignnone" width="395"] Pie Charts Questions[/caption]

Q1. What is the central angle of the sector corresponding to the expenditure incurred on Royalty ?
    1. 54 degree
    2. 48 degree
    3. 45 degree
    4. 40 degree
Answer: Option A
Explanation:

Central angle corresponding to the royalty will be,
15% of 360 degree
= 15/100*360
= 3*18 = 54 degree

Q2. Which two expenditures together have a central angle of 108 degree in pie chart ?

    1. Binding cost + Royalty cost
    2. Printing cost + Paper cost
    3. Binding cost + Transportation cost
    4. Printing cost + Transportation cost
Answer: Option D
Explanation:

This type of question can be solved, first by getting 108 degree is what percent of 360, Then choosing the correct option.
So let solve,
108 is what percent of 360 ?

=108360∗100%=30% of expenditure
So from the options given, it is clear that
Printing cost(20%) + Transportation cost(10%)
= 30%

Q3. If the difference between the two expenditures are represented by 18 degree in the pie chart, then which option of following can be correct ?

    1. Binding cost and Royalty cost
    2. Paper cost and Printing cost
    3. Paper cost and Royalty
    4. Royalty and Promotion cost
Answer: Option B
Explanation:

18 is what percent of 360 ?

18360∗100%=5%
So Paper cost and Printing cost is the answer because
(25% – 20%) = 5 %

Q4. If for a edition of a book, the cost of paper is Rs. 56250, then find the promotion cost for this edition ?

    1. Rs 21500
    2. Rs 22300
    3. Rs 22500
    4. Rs 22700
Answer: Option C
Explanation:

We are having the ratios of the percentage of two (from pie chart) also having cost of one.
So we can solve it in a easy way as,

25:10=56250:p=>p=(56250∗1025)=Rs.22500

Q5. If for the certain quantity of books, the publisher has to pay Rs 30,600 as printing cost, then what will be the amount of royalty to be paid for these books ?

    1. Rs 22650
    2. Rs 22750
    3. Rs 22850
    4. Rs 22950
Answer: Option D
Explanation:

Let the royalty of to be paid for these books be Rs r.
then

20:15=30600:r=>r=30600∗1520=>r=22950

Q6. 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 % ?

    1. Rs 180.50
    2. Rs 182.50
    3. Rs 183.50
    4. Rs 187.50
Answer: Option D
Explanation:

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.

10:125=82500:x=>x=125∗8250010=>x=1031250S.P. of one book =10312505500=187.50

Q7. Royalty on the book is less than the printing cost by ?

    1. 20%
    2. 25%
    3. 30%

35%

Answer: Option B
Explanation:

Printing cost of book = 20% of C.P.
Royalty on book = 15% of C.P.

Difference = (20%-15%) = 5% of C.P.

Percentage Differene =(DifferencePrinting Cost∗100)%=(5% of C.P.20% of C.P.∗100)%=25%