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:
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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