Question 53

The marked price of an article is ₹400. After allowing a discount of 20% on the marked price, a shopkeeper makes a profit of ₹48. His gain percentage is:

Solution

Given,

Marked price (MP) = ₹400

Discount(D) = 20%

Profit(P) = ₹48

Selling price(SP) = MP - discount

= ₹400 - 20% of ₹400

= ₹400 - $$\frac{20}{100}\times400=\ ₹400-₹80=₹320$$

SP = Cost price (CP) + P

CP = SP - P

= ₹320 - ₹48 = ₹272

Profit % = $$\frac{P}{CP}\times\ 100$$

= $$\frac{48}{272}\times\ 100$$

= $$17\frac{\ 11}{17}\%$$

Hence, Option C is correct.

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