Question

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.

Answer 1

Let × be the CP of the goods. 

Market Price of the goods when goods is marked above 35% of CP 

Market Price = x + (35x/100) 

= 135x/100 

Discount Offered = 20% 

Discounted Amount = 20% of 135x/100 

= 27x/100 

Selling Price = Market Price – Discount 

= (135x/100) – (27x/100) 

=108x/100 

=1.08x 

Since SP is more than CP, it is a case of Gain. 

Gain = SP – CP

= 1.08x – x 

= 0.08x

\(Gain\%=\frac{Gain\,\times\,100}{CP}\)

\(=\frac{0.08x}{x}\times100\)

= 8%