Question
Gaurav marks his goods 50% above the cost price and
offers a discount of 30% on the marked price to his customers. What is his percentage gain?Solution
Marked Price (MP) = 1.5 × C Discount = 30% of MP = 0.3 × 1.5 × C = 0.45 × C Selling Price (SP) = MP - Discount ⇒ SP = 1.5 × C - 0.45 × C ⇒ SP = 1.05 × C Percentage Gain = ((SP - CP))/(CP) × 100 ⇒ Percentage Gain = ((1.05 × C - C))/(C) × 100 ⇒ Percentage Gain = (0.05 × C)/(C) × 100 ⇒ Percentage Gain = 0.05 × 100 ⇒ Percentage Gain = 5% The percentage gain is 5%.
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