Question
A shopkeeper marks his goods 40% above cost price. To
get an overall profit of 12%, he allows a discount of x% on the marked price. What is x?Solution
Let cost price (CP) = 100. Marked price (MP) = 100 + 40% of 100 = 140. Required profit = 12%, so selling price (SP) = 100 + 12 = 112. Discount = MP − SP = 140 − 112 = 28. Discount % = (28 / 140) × 100 = 20%. So x = 20%.
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