# RS Aggarwal Solutions Class 8 Mathematics Solutions for Profit and Loss Exercise 10B in Chapter 10 - Profit and Loss

Question 3 Profit and Loss Exercise 10B

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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