Question : Successive discounts of 18% and 22% are equal to a single discount of ______.
Option 1: 36.04%
Option 2: 35.04%
Option 3: 37.04%
Option 4: 34.04%
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Correct Answer: 36.04%
Solution :
Successive discounts of 18% and 22%
Single Discount $=D_{1} + D_{2} - \frac{(D_{1}\times D_{2})}{100}$
where, $D_{1}$ & $D_{2}$ are two successive discounts.
Single Discount = $18 + 22 - \frac{18\times22}{100}$
= 40 - 3.96
= 36.04%
$\therefore$ Successive discounts of 18% and 22% are equal to a single discount of 36.04%.
Hence, the correct answer is 36.04%.
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