Question

8. By selling a shirt for Rs. 135, a shopkeeper loses 10%. How much % would he gain or loss by selling it for Rs. 177 ?​

Answer 1

Answer:

He will gain 18 per cent.

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Answer 2

Answer:

he sells it for 135 and loses 10%

let c = the cost.

let s = selling price.

let p = profit.

the formula for profit is:

p = s - c

the formula for profit margin is:

p% = (s-c)/c * 100%

if he sells the shirt at 135, then the profit margin equation becomes:

-10% = (135-c)/c*100%

divide both sides of the equation by 100% to get:

-.10 = (135-c)/c

multiply both sides of the equation by c to get:

-.10*c = 135 - c

add c to both sides of the equation to get:

c - .10*c = 135

combine like terms to get:

.9*c = 135

divide both sides of the equation by .9 to get:

c = 135/.9 = 150.

the shirt cost him 150.

he sold it for 135.

he took a loss of 15.

15/150 = 10% loss.

it all checks out.

now he sells the shirt for 177.

the cost is 150.

the profit is s - c = 177 - 150 = 27

the profit margin is p/c = 27/150 = .18 * 100% = 18%