Data Interpretation - Pie Charts - Discussion

@Ilya.

In the question it is mentioned that the publisher has to pay Rs. 30,600 as printing cost. The Pie chart shows the costing percentages for publishing the book.

1) Promotion cost is 10%.
2) Transportation cost is 10%.
3) Paper cost is 25%.
4) Binding cost is 20%.
5) Royalty is 15%.
6) Printing cost is 20%.

As per the question the publisher has to pay a printing cost of Rs. 30,600/- (where printing cost is 20% of book publishing cost).

Assume the publishing cost as X.

Then calculation is as below.

20% of X = 30600.

Then X = (30600*100)/20.

X = 153000 (i.e., Publishing cost).

Royalty cost is 15% of publishing cost 3.

Royalty cost = (15*153000) /100.

Royalty cost = 22950/-.

Given that, the amount to be paid for printing books is 20% (Rs. 30,600).

This is 5 times lesser than the Total amount.

(i.e.) Total amount is = (30,600 x 5),
= 153,000.

We need to find that the amount to be paid by the publisher for the Royalty is 15% of the entire amount.

The amount paid for Royalty is 15%.
= (153,000 x 15 / 100) (i.e.) cut two zeroes on both.
= (1530 x 15),
= 22,950.

Let take A be the total amount and royalty be R.
Now we know 20%of A=30600 and 15%of A= R.
then w.r.t A,

20% x A = 30600 => A= 30600/20%.................................> (1)
15% x A = R => A= R/15%...............................................> (2)
So from Eq 1 and 2, w.r.t A,
we get,
30600/20%=R/15%.
so R=(30600 x 15%)/20%.
R=22950.

It is a shortcut method to do in the ratio for a pie chart.

Royalty is 5% lesser than the Printing cost according to the pie chart.
20% of printing cost is 30,600.

Therefore,1% of the printing cost will be 30,600/20 =1530/-
1% of the printing cost is 1530/-
5% of will be 1530*5 = 7650/-

We know that Royalty is 5% lesser than Printing cost.
20% of printing cost - 5% = 15% of the Royalty
Therefore, 30,600 - 7650 = 22950.

So, it is Option C.

If we see the chart there is clearly mentioned about the partition of printing i.e 20% and also according to the question the cost of printing is 30,600
so, we can equate 20% to 30,600
therefore, 20%=30,600
1%=30,600/20
then,15%(i.e of loyality which we have to calaculate)=( (30,600*15)/20
Ans. will be 22,950 i.e option 'C'

Suppose total expenses is X.
Total Printing cost is 20% of X.
i.e X*20/100.
As per question, it is Rs.30600.
i.e X * 20/100 = 30600
so, X is 153000
Here we have to calculate royalty which is 15% of X.
i.e 15%*153000 = 22950.

If given printing cost is 20% as in pie chart,

And royalty cost is 15%,
Then royalty is 3/4 of printing.
That gives 30600/4 = 7650.

So just that gives us royalty = 7650 * 3= 22950.

In the first figure, 100 is up and 20 is below but in the second the figure 100 is down and 15 is up. How was that possible. Please explain in detail I am very weak in maths.

@All.

Understand this way,

Printing cost - 30600, which is 20% cost.
So, 1st find out what is the value of One % (1%). 30600/20=1530.
15% Royalty = 15*1530 = 22950.

20% = 30600(printing cost).
Then,
15% = x(royalty cost),
Let x be the amount to find,
Now cross multiply, and you will get the answer
x = 30600 x 15/20.
x = 22950.