Question : What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17%?
Option 1: 27.53%
Option 2: 26.47%
Option 3: 26.00%
Option 4: 24.47%
Correct Answer: 24.47%
Solution :
Given: The two successive discounts are 9% and 17%.
First discount , $x$ = 9%
Second discount, $y$ = 17%
Single equivalent discount $ =[x + y - \frac{xy}{100}]$%
$= [9 + 17 - \frac{9 × 17}{100}]$%
$= [26 -1.53]$%
$= 24.47$%
Hence, the correct answer is 24.47%.
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