Question 109

An item is sold for Rs. 1428 after two successive discounts of 12.5% and 20%. What is the marked price (in Rs.) of the article ?

Solution

Let marked price of article = Rs. $$100x$$

After 1st discount of 12.5%, price of article is = $$100x-\frac{12.5}{100}\times100x=Rs.$$ $$87.5x$$

After 2nd discount of 20%, selling price of article is = $$87.5x-\frac{20}{100}\times87.5x=Rs.$$ $$70x$$

According to ques, => $$70x=1428$$

=> $$x=\frac{1428}{70}=20.4$$

$$\therefore$$ Marked price = $$100\times20.4=Rs.$$ $$2040$$

=> Ans - (C)

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