Question 57

A shopkeeper marks an article at a price such that after giving a discount of x%, he gains 20%. If the cost price and the marked price of the article are ₹920 and ₹1472 respectively, then what is the value of x?

Solution

Cost price of the article = ₹920

Gain = 20%

Selling price of the article = $$\frac{120}{100}\times$$920

= ₹1104

Marked price of the article = ₹1472

Discount = x%

Selling price of the article = $$\frac{100-x}{100}\times$$1472

1104 = $$\frac{100-x}{100}\times$$1472

69 = $$\frac{100-x}{100}\times$$92

6900 = 9200 - 92x

92x = 2300

x = 25

Hence, the correct answer is Option D

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