Question

A dealer marks his goods 40% above the cost price and allows a discount of 10% find the profit percent?

Answer 1

CP = a

MP = a x 140/100 = 1.4a

SP = 1.4a x 90/100 = 1.26a

Profit = 1.26a - a = 0.26a

percent = 0.26a/a x 100 = 26%

Answer 2

Answer:

26 %

Step-by-step explanation:

Let the cost price of the item = x,

After marking up 40%,

Marked up price = (100+40)% of x = 140% of x = 1.40x,

Then allowing a discount of 10%,

Selling price = (100 - 10)% of marked price

= 90% of 1.4x

= 0.90 × 1.4x

= 1.26x

Since, 1.26x > x

i.e. dealer has a gain,

Gain percent = $\frac{\text{Selling price - Cost price}}{\text{Cost price}}\times 100$

$=\frac{1.26x-x}{x}\times 100$

$=0.26\times 100$

= 26%