Question

A shopkeeper fixed the marked price of an item at 35% above its cost price. Find the discount %so that he gains 8%

Answer 1

Let C.P =Rs.100

Then, marked price = 100 + 35(Given)

                                  = 135
 
Then, S.P = 100 + 8(Given)

                 = 108.

Discount = 135-108 = 27

Discount % = (27/135×100)% =  20%.


Hope this helps!

Answer 2

Answer:

The discount percentage is 20%.

Step-by-step explanation:

Let the cost price be x.

It is given that the shopkeeper fixed the marked price of an item at 35% above its cost price.

$x+\frac{35}{100}x=x+0.35x=1.35x$

He gains 8%.

$SP=CP+Gain$

$SP=x+\frac{8}[100}x=x+0.08x=1.08x$

The formula for discount percentage is

$Discount\%=\frac{MP-SP}{MP}\times 100$

$Discount\%=\frac{1.35x-1.08x}{1.35x}\times 100=20$

Therefore the discount percentage is 20%.