Data Interpretation - Pie Charts - Discussion

Discussion Forum : Pie Charts - Pie Chart 1 (Q.No. 4)
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


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%?
Rs. 187.50
Rs. 191.50
Rs. 175
Rs. 180
Answer: Option
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.

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

Discussion:
33 comments Page 2 of 4.

Vigneshraj said:   7 years ago
I am unable to understand SP =125% of CP.

As per @Anup's explanation at the top. 25% profit on 100 rs. CP is 125. how does that become 125% of CP?

Isn't S.P = 125% of CP ((100 * 125/100) = 125+100 = 225) here is 225? which is more than 25% profit?

Please explain.
(2)

Sambhavi ahir said:   7 years ago
I didn't get this solution. Please explain me.
(1)

Sushmitha said:   7 years ago
How 10:15 equal to 82500?
(1)

Vijay said:   7 years ago
Where do you get this 5500?

Saljoq said:   7 years ago
It's quite simple and you don't have to use the assume stuff like let S.P be x n all (if u don't like it)

Here wo go, transportation cost of 5500 books is 82500, so transportation cost of one book is 82500/5500 which is 15.

As transportation cost (which is 15) is 10% of total C.P, 15 is 10% of total C.P. By dividing 15/10 we get 1% of total C.P which 15/10=1.5.

Not multiply 1.5 with respective percentages given in the chart and add all the answers (including 15 which is trans cost) you'll get total C.P which is 150.

As profit to be earned is 25%, S.P would be C.P+25% of C.P which is 150+25% of 150 therefore S.P= 150+37.5= 187.5 (answer)

Or 125%of 150 which is 187.5.
(5)

NAINA said:   8 years ago
Transportation Cost of 5500 books = Rs. 82500.
Transportation cost of 1 book = 82500/5500 = Rs. 15.

Also Transportation Cost = 10% of C.P.
let C.P. of one book = x,
15 = 10% of x,
so, x = 150,
cp of 1 book = 150,
so, sp of 1 book in order to earn 25% profit = 125% of CP = 125% of 150 = Rs. 187.5.
(3)

Akash singh said:   8 years ago
Let's do it in a simple way.

10% = 82500.
125% = 82500/100 * 125.
= 1031250.
Now divide it by 550.
i.e. 1031220/550 = 187.50.

Nisha said:   8 years ago
Nice explanation @Anil.

Anil said:   9 years ago
See a simple solution:

5500 books transportation cost = 82500,

1 book transportation cost = ?

That would be 82500/5500 = 15.

From pie chart, it is given that for 1 book transportation cost is 10% of the total cost price of that book.

=> (10/100) * cp = 15.

Cost price of single book = 150,

(sp - cp/cp) * 100 = 25,

(sp - 150/150) * 100 = 25,

So, sp = 187.50.
(1)

Bhaskar said:   9 years ago
@Satish.

How do you get 0.1?


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