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. |
If the overall profitability of the company was definitely more than $x%$ then the maximum possible value of $x$ is: |

✖ A. |
$29\dfrac{3}{11}$ |

✖ B. |
$27\dfrac{3}{11}$ |

✔ C. |
$21\dfrac{3}{7}$ |

✖ D. |
$24\dfrac{7}{20}$ |

**Solution:**

Option(**C**) is correct

II is given that all the products made a profit. The product for which the ratio of share of expenses 10 the share of sales was the highest, i.e, $T$ (by observation) would also have made a profit.

If the total expenses were $K$ and the total sales were $y$,

$0.11y > 0.14x$ or $\dfrac{y}{x} > \dfrac{14}{11}$

⇒ Profitability is definitely more than:

$=\dfrac{14 – 11}{14}× 100$

$= 21\dfrac{3}{7}\%$