Data Interpretation (Pie Chart) Quiz 1

Central angle corresponding to Binding = (20% of 360)°

=\frac{20}{100} \times 360   = 72˚

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

Then, 20 : 15 = 32900 : r

= \frac{32900 \times 15}{20} = Rs. 24675

Paper cost on book = 25% of C.P.

Printing Cost of book = 20% of C.P.

Difference = (25% of C.P.) - (5% of C.P) = 5% of C.P.

Percentage difference = \frac{Difference}{Paper Cost} \times 100

= \frac{\frac{5}{100} of CP}{\frac{25}{100} of CP}\times100 = 20%

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. \frac{25 \times 180}{120} = Rs. 37.50

For the publisher to earn a profit of 20%, S.P. = 120% of C.P.

Also Transportation Cost = 10% of C.P.

Let the S.P. of 7500 books be Rs. x.

Then, 10 : 120 = 92500 : x

x = Rs. \frac{120 \times 9200}{10} = Rs. 1110000

S.P. of one book = Rs. \frac{1110000}{7500} = Rs. 148

There is not need to calculate values. This is simply a ratio. So we can compare the ratio of their percentages.

C + E = 8 + 9 = 17;

A + F = 15 + 18 = 33.

So ratio = 17 : 33

\frac{Qualified candidates from A}{Selected candidates from A} \times 100 = \frac {\frac{18}{100} \times 9000}{\frac{15}{100} \times 45000} \times 100

But in the above equation, only \frac{\frac{18}{100}}{\frac{15}{100}} changes for each rate. Remaining values are constant.

Minimum percentage, is obtained if the numerator is small and the denominator is big .

For C, it is C = \frac{7}{8} = \frac{1}{1.14}. So, for E = \frac{9}{14} = \frac{1}{1.5}. So for E, denominator is big and has the minimum ratio

Instead of calculating qualified candidates for D and G separately, we take the difference in their percentages. i.e., 8% (9000) = 720.

Qualified candidates from B and C = (16 + 7)% = 23% (9000)

Appeared candidates from B and C = (11 + 8)% = 19% (45000)

So required percentage = \frac{\frac{23}{100}(9000)}{\frac{19}{100}(45000)}\times 100 =( \frac{23}{19} \times 5) \times 100 = 24.21

The required ration = (16 + 21)% (9000) : 8% (45000)
⇒ 37 : 8 \times 5
⇒ 37 : 40