Find the single discount equivalent to a series of discounts of $20 %, 10 %$ and $5 %$ ?

35 %

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25 %

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31.6 %

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36 %

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Solution

The correct option is C $31.6 %$
Let MP be 100. Then
Net SP $= (100 - 5) % o f (100 - 10) % o f (100 - 20) % o f 100$
$= 95 % o f 90 % o f 80 % o f 100$
$= (\frac{95}{100} \times \frac{90}{100} \times \frac{80}{100} \times 100) = 68.40$
Required discount $= (100 - 68.40) % = 31.6 %$

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