A dealer marks his goods at 35% above the cost price and allows a discount of 20% on the marked price. Find his gain or loss per cent.
let us consider the CP of goods as x
The market price of the goods when goods marked above the 35% CP is
Market price = x + (35x/100) = 135x/100
So the Discount = 20%
Discount amount = 20% of 135x/100 = 27x/100
∴ The SP = Market price – Discount
= (135x/100) – (27x/100) = 108x/100 = 1.08x
Since SP is more than CP it’s a gain
We know that, Gain = SP – CP
= 1.08x – x = 0.08x
∴ Gain % = (Gain × 100)/ CP
= (0.08x × 100)/ x
= 8%
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