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. |
At most what percentage of the total production was sold? |

✖ A. |
$60.25\%$ |

✖ B. |
$66.67\%$ |

✖ C. |
$68.50\%$ |

✔ D. |
$73.33\%$ |

**Solution:**

Option(**D**) is correct

As the company only sells products which are manufactured in the same year. the maximum sales of any product can be equal to its production.

We have to choose the product for which the ratio of the share of production (by volume) to the share of sales (by volume) Is the least, i.e. $V$.

If the total production is $x$ and the total sales are $y$.

$0.11x = 0.15y$ or $\dfrac{y}{x} = \dfrac{11}{15}$

Or the company sold at most:

$=\dfrac{11}{15} × 100$

$= 73.33\%$ its total production.