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Find a single discount equivalent to two successive discount of 20% and 5%
Given:
Two successive discount of 20% and 5%.
To do:
We have to find the single discount equivalent to two successive discounts of 20% and 5%.
Solution:
Let the marked price be Rs. 100.
First discount $= 20 \%$
$20 \%$of 100 $= \frac{20}{100}\times100=20$
Price $=100 - 20 = 80$
Second discount $= 5 \%$
$5 \%$ of 80 $= \frac{5}{100}\times80$
$=4$
Final price $= 80-4$
$= 76$
Let the single equivalent discount be $x$.
Single equivalent Discount $= MP - SP$
$= 100 -76$
$= 24$
The single discount equivalent to two successive discounts of 20% and 5% is 24%.
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