A shopkeeper wants to make a profit of 8% after giving a discount of 14%. At what approximate percentage above the cost price should he mark his goods?

Let's assume the cost price of the goods is 100y.

A shopkeeper wants to make a profit of 8% after giving a discount of 14%.

selling price of the goods = 100y of (100+8)%

= 100y of 108%

= $$100y\times\frac{108}{100}$$

= 108y

MRP of the goods of (100-14)% = 108y

MRP of the goods of 86% = 108y

MRP of the goods = $$\frac{108y}{86}\times\ 100$$

= 125.58y (approx.)

Approximate percentage above the cost price should he mark his goods = $$\frac{125.58y-100y}{100y}\times\ 100$$

= $$\frac{25.58y}{100y}\times\ 100$$

= 25.58%

= 25.6% (approx.)