Data Interpretation - Pie Charts - Discussion

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


3.
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?
Rs. 36
Rs. 37.50
Rs. 42
Rs. 44.25
Answer: Option
Explanation:

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

Discussion:
68 comments Page 1 of 7.

Kiyotaka said:   3 years ago
I think the ans will be 36,

Since MP is 20% more than CP and MP is given 180.

So, Calculate CP first which will be 20% less than MP(180) which will be 144. Then calculate 25% of CP(144), which will be 144/4 = 36.
(27)

Nima Lhamo said:   4 years ago
Let CP = 100%
Marked price = 20% + 100(c.p) = 120
Given,cost of paper=25%,
Marked price = RS 180,
Let's" x" be price of cost paper,
Therefore,cost of paper:marked price,
25% : 120%,
X : 180.

By Crossmultiplying.
We get,25 * 180=120x.
X = 4500/120,
X = 37.5.
(23)

Anmol said:   5 years ago
@All.

The question says that "The price of the book is marked 20% above CP(Cost Price) and the Marked price of the book is Rs 180. Marked Price is nothing but Sp(Selling price). These are the assumptions we can make from the question.

Soln: We need to find the CP now from the data given above.

Lets take the CP as 'x'. As the price of the book is marked(SP) 20% above the CP, the equation becomes:
x+20/100(x) = 180.
=> x = 150,
So, CP= Rs 150.

Now, we need to find the cost of paper used in a single copy of the book.. i.e;
25/100(150) = 37.5.
(17)

Khushboo baisoya said:   2 years ago
How CP is 25%? Please explain me.
(16)

Rohit said:   2 years ago
100% + 20% = 180 rupees
Then 120x = 180
x = 180/120 = 1.5 * 25 paper cost = 37.5.
(16)

Raji said:   3 years ago
Plz, how 120 will come?
(11)

Moom said:   1 year ago
See 100% mp + 20% cp = ₹180 total book value,
So 120% = ₹180.
Let's take × = 1%.
120x = 180.
X = 180/120 = 1.5.

Which means 1% = ₹1.5.
& Now paper cost is 25%.
So, 25 × 1.5 = 37.5.
(10)

Jiki said:   3 years ago
@ The question is only asking for the paper cost of a book and not all sorts of binding, promotion and other costs.

That is why we use this basic percentage method,
25% of the total cost is the paper cost of a book.
So, 25/100 *150 (why the total cost is being taken as 150, you yourself think carefully about it)
= 37.5 Rs.
(10)

Sujith said:   4 years ago
How did you find cp is 120? Explain please.
(7)

Shalini said:   6 months ago
Let us take CP as = 100%.
Marked price in percentage 20%.
Marked price = 180.

So,
CP + MP = 120%.

Now;
Paper Cost is in percentage = 25%.
Let's cross-multiply this;
120%= 180.
25% = x.
120% (x) = 25%(180).
(both side percentages getting cancelled)
120 * x = 25 * 180
x = 25 * 180/ 120
x = 3/2 * 25.
x = 37.5.
(6)


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