Question

The charge for a single room at Hotel Pis 25 percent less than the charge for a single room at Hotel Rand 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel Ris what percent greater than the charge for a single room at Hotel G?

A. 15%
B. 20%
C. 40%
D. 50%

Answer 1

Answer:

The correct answer is option B.

Explanation:

Charge at room P = x

Charge at room R = y

Charge at room G = z

The charge for a single room at Hotel P is 25 percent less than the charge for a single room at Hotel R.

x = y - 25%of y

x = y - 0.25y

x = 0.75y

The charge for a single room at Hotel P is 10 percent less than the charge for a single room at Hotel G.

x = z- 10% of z

x =z - 0.1z

x =0.9 z

0.75 y = 0.9 z

$y = \frac{0.9}{0.75}z$

y = 1.2 z

We can write 1.2 z = 1z +0.2z

y = 1z + 0.2z

y = 1z + 20% of z

The charge for a single room at Hotel R is 20 percent greater than the charge for a single room at Hotel G.