Question : The discount series, 10%, 20%, and 40% is equivalent to a single discount of:
Option 1: 50%
Option 2: 56.8%
Option 3: 60%
Option 4: 62.28%
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Correct Answer: 56.8%
Solution :
Let the cost price be Rs. 100.
Net selling price = [100 − 40]% of [100 − 20]% of [100 − 10]% of Rs. 100
⇒ Net selling price = 60% of 80% of 90% of Rs. 100
$\therefore$ Net selling price = $\frac{60}{100}×\frac{80}{100}×\frac{90}{100}×100=43.2$%
$\therefore$ The required discount = 100 − 43.2 = 56.8%
Hence, the correct answer is 56.8%.
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