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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%
SHORTCUT

The 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 D

The shortcut is discussed HERE
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