Question

The ratio of cost price and selling price is 4 : 5. The profit percent is
a) 10%
b) 20%
c) 25%
d 30%​

Answer 1

Step-by-step explanation:

Answer : C

Discuss it below :

Let C.P. = Rs. 4x. Then, S.P. = Rs. 5x. Gain = Rs. (5x - 4x) = Rs. x

Gain% = x X 100 % = 25%.

4x

Answer 2

Answer :-

The profit percentage is 25 %

Given :-

The ratio of cost and selling price is 4 : 5

To Find :-

Profit percentage .

Solution :-

Let's assume that our Cost price is 4x and selling price is 5x .

Formula -

$\boxed{\sf{\implies \; Profit\ percentage = \dfrac{S.P - C.P}{C.P} \times 100}}$

Using this formula :-

${\sf{\implies \; Profit\ percentage = \dfrac{5x - 4x}{4x} \times 100}}$

${\sf{\implies \; Profit\ percentage = \dfrac{x}{4x} \times 100}}$

${\sf{\implies \; Profit\ percentage = \dfrac{\not{x}}{4\not{x}} \times 100}}$

${\sf{\implies \; Profit\ percentage = \dfrac{100}{4} }}$

$\boxed{\sf{\implies \; Profit\ percentage = 25 }}$

Hence the profit percentage is 25 %