# Moderate Pie Charts Solved QuestionData Interpretation Discussion

Common Information

Company XYZ manufactures seven different products - P, Q, R, S, T, U and V. The following pie- charts give the product wise split-up of the total production, total expenses and total sales of the company in a year.

For any product,
$[\text{Profit} = \text{Sales (by value)} - \text{Expenses}]$
$[\text{Profitability (%)} = \dfrac{\text{Profit}}{\text{Sales (by value)}}×100]$

It is known that the company made a profit on each of its products and the units of any product sold in a year are only those that are manufactured in the same year.

 Q. Common Information Question: 5/5 It is known that, the total profit from sales of product $U$ was the highest among all the products, and the total expenses of the company were RS.50 crore. If the total sales (by value) of the company were definitely less than $z$, then what is the maximum possible value of $z$?
 ✖ A. Rs. 250 crore ✔ B. Rs. 400 crore ✖ C. Rs. 450 crore ✖ D. Rs. 600 crore

Solution:
Option(B) is correct

If the total expenses were $x$ and the total sales were $y$.

Then the profit on product:

$U= 0.17 y - 0.12 x$.

If the sales are very high compared to the expenses, the profit on product $V$ would exceed that on product $U$.

⇒ $0.17y - 0.12 x > 0.18 y - 0.2 x$

⇒ $0.08 > 0.01 y$

⇒ The sales must be a little less than eight times the expenses and so the maximum value of sales can be RS.400 crore.