Question : Successive discounts of $p$% and $q$% on a catalogue price of an article is equivalent to a single discount of:
Option 1: $\left(p -q + \frac{pq}{100} \right )$%
Option 2: $\left(p - q - \frac{pq}{100} \right )$%
Option 3: $\left(p + q - \frac{pq}{100} \right )$%
Option 4: $\left(p + q + \frac{pq}{100} \right )$%
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Correct Answer: $\left(p + q - \frac{pq}{100} \right )$%
Solution :
Successive discounts of $p$% and $q$% are offered.
As we know, the formula for two successive discounts is $X$ and $Y$:
Equivalent single discount = $X+Y−\frac{XY}{100}$%
Single equivalent discount = $p+q−\frac{pq}{100}$%.
Hence, the correct answer is $p+q−\frac{pq}{100}$%.
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