Question

A room is an exclusive Dubai hotel costs $× pe4 night. The price then changes to $4370 per night after a decrease of 5% and a increase of 15%. Find ×​

Answer 1

The value of x is $4000.

Explanation:

Let's call x to the original price per night of a room in the Dubai hotel.

The price first decreased by 5%. Calculate 5% of x:

5 * x / 100 = 0.05x

Now subtract it from the original price:

x - 0.05x = 0.95x

This new price is then increases 15%. Calculate 15% of 0.95x:

15 * 0.95x / 100 = 0.1425x

Add it to the previous price:

0.95x + 0.1425x = 1.0925x

This price is equal to $4370, thus:

1.0925x = 4370

x = 4370 / 1.0925

x = 4000

The value of x is $4000.