The marked price of an article is 30% higher than the cost price. If a trader sells the articles allowing 10% discount to customer, then the gain percent will be
let cost price (CP) = Rs 100 MP (marked price) = 30% more than cost price = 30/100 × 100 = 30 + 100 {here 100 = CP} MP =Rs 130 discount% = 10% discount = 10% of 130 = Rs 13 { ∵ discount = (discount percent / 100) × MP} So selling price SP = 130 – 13 = 117 { ∵ SP = MP – discount} gain = 117 – 100 = 17 { ∵ gain = SP – CP} gain % = (17/100) × 100 = 17%
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