# Moderate Pie Charts Solved QuestionData Interpretation Discussion

Common Information

Answer the questions on the basis of the information given below.

The following pie charts give the values of the sales and expenses of five companies — $P, Q, R, S$ and $T$ — as a percentage of the total sales and expenses of these five companies put together.

$\text{Profit = Sales - Expenses}$
$\text{Profit percentage} = \left(\dfrac{\text{Profit}}{\text{Sales}}\right)×100$

 Q. Common Information Question: 4/5 If the total sales were Rs.800 crore and the overall profit percentage of all the five companies put together was 50%, what were the expenses of company $R$?
 ✖ A. Rs.60 crore ✖ B. Rs.68 crore ✖ C. Rs.80 crore ✔ D. Rs.88 crore

Solution:
Option(D) is correct

Since overall profit percentage is 50% total expenses:

$= \dfrac{50}{100}×800$

$= \text{Rs.400 crore}$

Expenses of company:

$R = \dfrac{22}{100} × 400$

$= \textbf{Rs.88 crore}$

## (2) Comment(s)

Chhavi Sahni
()

Again, If Sales $= 800$ crore and Profit Percentage $= 50\%$, then by the definition of profit percentage

$\dfrac{\text{Sales - Expenses}}{\text{Expenses}} = 0.50$

Thus,

$\text{Expenses}$ $= \dfrac{\text{Sales}}{1.5}$$= \dfrac{800}{1.5}$

Thus the expenses of $R = \dfrac{0.22\times 800}{1.5}$

Suzie
()

It seems that all the confusion is due to WRONG FORMULA.

As question CORRECTLY mentions,

$\text{Profit percentage} = \left(\dfrac{\text{Profit}}{\text{Sales}}\right)×100$

Changing denominator from $\text{Sales}$ to $\text{Expenses}$, changes everything.

As I mentioned before as well, profit percentage is calculated on SALES and not on EXPENSES.