Find the single discount which is equivalent to

Question:

Find the single discount which is equivalent to two successive discounts of 20% and 5%.

Solution:

​Let the marked price of the article be Rs 100.

First discount = 20%

Price after the first discount = (100 − 20) = Rs 80

Second discount = 5% of 80

$=\frac{5}{100} \times 80$

$=\operatorname{Rs} 4$

Price after the second discount = (80 − 4) = Rs 76

Net selling price = Rs 76

∴ Single discount equivalent to the given successive discounts = (100 − 76)% = 24%

 

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