Question

Ratio of cost price and selling price is 10:11 then profit of percentage is​

Answer 1

Answer:

10%

Step-by-step explanation:

Given,

      ratio of cost price and selling price is 10:11.

⇒ CP/SP = 10/11

⇒ 11/10 = SP/CP

Profit = SP - CP

Profit % = (SP - CP)/CP  × 100%

  = [SP/CP  -  CP/CP] × 100%

  = [ SP/CP  -  1 ] × 100%

  = [ 11/10  - 1 ]  × 100%

  = [ (11 - 10)/10 ]  × 100%

  = (1/10) × 100%

  = 10 %

  Method 2:

Let CP  = x  &   SP = y

GIven, CP/SP = 10/11  

⇒ x/y = 10/11

⇒ x = 10y/11

Profit % = (SP - CP)/CP  × 100%

    = (y - x)/x  × 100%

    = (y - 10y/11)/(10y/11) × 100%

    = (11y - 10)/(10y) × 100%

    = 10%

Answer 2

Answer:

10%

Given:

Ratio of cost price and sell price = 10:11

To find:

profit percent

Solutions

let, the cost price (c.p) be 10x Rs.

Therefore the sell price (s.p) = 11x Rs.

.[ here x is constant]

So,Profit = s.p - c.p= (11x - 10x) Rs. = x Rs.

We know that ,

$profit \: percentage = \frac{proft}{cost \:price } \times 100\%$

$=> \: \frac{x}{10x} \times 100\%$

$=> \: \frac{100}{10} \%$

=> 10%

Hence,

Hence,The required profit percentage is 10 %.