Question

a mobile phone was marked at 35% above the cost price and a discount of 20% was given on the marked price find the profit % or loss % made by the shopkeeper

Answer 1

Hi there!
Here's the answer :

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•°

Given,

Marked Price M.P is 35% above the Cost Price C.P

Let Cost price be C

=> $M.P = C( 1 + \frac{35}{100})$

=> M.P = C( 1 + 0.35)
=> M.P = 1.35C

A Discount of 20% was given

S.P = M.P - Discount

As Discount is given on the M.P

$Discount = \frac{20}{100} × 1.35C$
= 0.2 × 1.35C
= 0.27C

•°• Discount = 0.27C

•°• S.P = 1.35C - 0.27C = 1.08C

Now we have
SP = 1.08C & CP = C

Clearly SP > CP ; There will be Profit

$Profit\: \% = \frac{S.P - C.P}{C.P} × 100$

=>$Profit\: \% = \frac{1.08C - C}{C} × 100$

=> Profit% = 0.08 × 100 = 8%

•°•°•°•°•°<><><<><>><><>°•°•°•°•°•°

Hope it helps