Question

A shopkeeper gives two successive discounts on a article who semarked priceis ₹180 and

selling price is ₹108.Find thefirst discount percentage if the second discount is 25%​

Answer 1

Answer:

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

100

100−x

×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

100

75

×

100

100−x

×180

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

100

75

×

100

100−x

×180=108

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

4×100

3(100−x)×180

=108

27\left(-x+100\right)=216027(−x+100)=2160

x=20x=20

First discount = 20%

Answer 2

Answer:

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Step-by-step explanation:

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