Question

what is the percentage gain if 10 pillows are sold at price of 26 pillows​

Answer 1

Answer:

Let us assume that the price of the pillow was x

If the price is reduced by 25%, then the price will be:

100% - 25% = 75%

75/100 × x = 0.75x

Therefore, 75x can get you 4 more pillows

That means :

60/0.75x = (60/x) + 4

Multiply the above equation by 0.75x, you will get:

60 = 45 + 3x

3x= 60 - 45

3x = 15

x= 5

Step-by-step explanation:

Answer 2

Given: 10 pillows are sold at price of 26 pillows​.

To find: The percentage gain.

Solution:

Let the cost price of one pillow be equal to x. So the cost price of 26 pillows would be 26x. According to the question, the cost price of 26 pillows is equal to the selling price of 10 pillows. So the selling price of 10 pillows is also equal to 26x. Thus, the selling price of 1 pillow is calculated as (26x/10) = 2.6x.

The profit earned from a sale is calculated as

$P = SP - CP$

   $= 2.6 x - x$

   $= 1.6 x$

The profit or gain percent is calculated as

$(P)_{percent} = \frac{P}{CP} * 100$

                $= \frac{1.6x}{x} * 100$

                $= 160$

Therefore, the percentage gain is 160%.