Question : The single discount equivalent to two successive discounts of 15% and 12% on an article is:
Option 1: 3%
Option 2: 25.2%
Option 3: 74.8%
Option 4: 27%
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Correct Answer: 25.2%
Solution :
Given:
Two successive discounts of 12% and 15%
We know, Net discount = $(D_1+D_2-\frac{D_1D_2}{100})$%,
Where $D_1$
and $D_2$ are successive discounts respectively
⇒ Net discount = $[15 + 12 - \frac{15\times12}{100}]$%
= $[27 - \frac{18}{10}]$%
= $(27 - 1.8)$%
= $25.20$%
Hence, the correct answer is 25.2%.
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