Bunuel
A certain store reduces the original price of a particular item by 15%. It then reduces this new price by 10% to get the current price. What is the percent decrease from the original price to the current price?
A. 5%
B. 10.5%
C. 15%
D. 23.5%
E. 25%
SHORTCUTThe shortcut below is useful for two successive percent changes,
especially when numbers are not round or easy to calculate.
If we have
only two successive percent changes, A and B,
to calculate overall percent change quickly, use:
PERCENT CHANGE:
\(A + B + \frac{A*B}{100}\)\(A\) = first percent change =
\(-15\)\(B\) = second percent change =
\(-10\)(If the change is a decrease, use a minus sign.)
From above:
• \(A + B + \frac{A*B}{100}\) (
percent is implied)
• \(-15 + (-10) + \frac{(-15)*(-10)}{100}=\)
• \((-25 + \frac{150}{100})=(-25+1.5)=-23.5\) %
Answer DThe shortcut is discussed HERE