Data Interpretation - Pie Charts - Discussion

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.

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.

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.

Here transportation cost is given 10%.
Therefore, the cost of one book is (b * 10)/100 = 0.1 * b.
Now given that 5500 * 0.1 * b = 82500.
Therefore, b = 150.
Now publisher needs 25% more profit hence, (150*25)/100 = 37.5,
Hence we add the final cost price for one book is 150+37.5 = 187.50.

The transportation cost is 82500, the graph says that the transportation cost is 10 % of CP, so CP will be 82500*100/10=825000, now to earn a profit of 25 %, the SP should be 825000 * 25/100 +825000=1031250.

This is the SP of 5500 books, so for 1 book=1031250/5500 = 187.5.

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.

Alternative Method:

Transportation Cost = 82500 (which is 10% of the total cost.)
Hence, total cost = 825000
Therefore, cost of 1 book = 825000/5500 = Rs.150

Now, SP is 25% more of this
Therefore, (150+25% of 150) = Rs. 187.5

Transportation cost=82500/5500=15.

.1*x=15 (x is C P).

(or)

15=.1x- - - - - - (1).
Selling cost=125% of C P.
Selling cost=1.25*x- - - - - (2).

Therefore----->
Selling cost/15=1.25x/.1x

Selling cost=187.5.

Let total cost = x.
Transportation cost=10% of x=82500.
x=825000.

Cost of 1 copy=(total cost)/(no. of copies).
=825000/5500.
=150.

Now, (SP-150)*100/150 = 25.
=>SP = 187.5.

5500*10% => 550.

550 = 82500.

1 = 82500/550 => 150 his price.

Now have to make 25% profit.

So 150+(25%150) => 187.0 (or remember to find SP =>150*125% = 187.50).