Question

hotel has 25% of room occupancy percentage and 20 rooms are still available. how many room are sold? show solution.​

Answer 1

Answer:

hotel has room occupancy =25%

room are still available=20

room are sold=

$\frac{25}{100} \times 20$

$\frac{25}{5}$

= 5 room

Answer 2

Given,

Room occupied $\[ = 25\% \]$

Available room $\[ = 20\]$

Solution,

Consider total number of rooms are x.

Room occupied $\[ = 25\% \]$

Percentage of room available,

$\[\begin{array}{l} = 100\% - 25\% \\ = 75\% \end{array}\]$

Calculate the total number of rooms in hotel.

$\[75\% x = 20\]$

$\[ \Rightarrow \frac{{75}}{{100}} \times x = 20\]$

$\[ \Rightarrow \frac{3}{4} \times x = 20\]$

$\[ \Rightarrow x = \frac{{80}}{3}\]$

$\[ \Rightarrow x = 26.667\]$

Number of room can never be in decimal.

$\[ \Rightarrow x = 27\]$

Total number of room $\[ = 27\]$

Calculate the number of room sold.

$\[\begin{array}{l} = 27 - 20\\ = 7\end{array}\]$

Hence the number of rooms sold are $\[7\]$