Question 97

The selling price of the article is Rs.1,764 after a successive discounts of 10% and 20%. If the cost price is 50% of the marked price, then what is the cost price. (in Rs)

Solution

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Let marked price = Rs. $$100x$$

After 1st discount of 10%, selling price = $$100x-(\frac{10}{100}\times100x)=Rs.$$ $$90x$$

Similarly, after 2nd discount of 20%, selling price = $$90x-(\frac{20}{100}\times90x)=Rs.$$ $$72x$$

According to ques, => $$72x=1764$$

=> $$x=\frac{1764}{72}=24.5$$

$$\therefore$$ Cost price = $$\frac{50}{100}\times100\times24.5=Rs.$$ $$1225$$

=> Ans - (A)

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