Question

A shopkeeper gives two successive discounts on an article whose marked price is 180 and selling price is 108.find the first discount percentage if the second discount is 25%

Answer 1

Answer:

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Answer 2

Answer:

20%

Step-by-step explanation:

Let the first discount be x %

Second discount = 25 %

Given that, Marked price = 180

Selling price = 108

Thus, price after first discount = $\frac{100-x}{100}\times 180$

Price after second discount, as there is successive discount, the second discount must be applicable to the reduced price, so,

Price after second discount = $\frac{75}{100}\times \frac{100-x}{100}\times 180$

Selling price = Price after second discount = $\frac{75}{100}\times \frac{100-x}{100}\times 180=108$

$\frac{3\left(100-x\right)\times \:180}{4\times \:100}=108$

$27\left(-x+100\right)=2160$

$x=20$

First discount = 20%