Carcass wrote:
The price of a radio was increased by 25 percent. This price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
A. 80%
B. 75%
C. 65%
D. 50%
E. 45%
Let
$100 be the ORIGINAL price
The price of a radio was increased by 25 percent.New price = (original price) + (25% of original price)
= (
$100) + (25% of
$100)
= $100 + $25
=
$125This price was then increased by 40 percent.New price = (former price) + (40% of former price)
= (
$125) + (40% of
$125)
= $125 + $50
=
$175A single increase of what percent is equivalent to these two successive increases?After two increases the price increased from
$100 to
$175This represents a 75% increase.
Answer: B
Cheers,
Brent