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A shopkeeper gives two successive discounts on a article who semarked priceis ₹180 andselling price is ₹108.Find thefirst discount percentage if the second discount is 25% |
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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% |
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