Data 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. |
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.