Question

A cloth merchant professes to sell his cloth at cost price but measures 90 cm instead of 1 m.Find his profit percent.

Answer 1

let cost of 100 cm=X
cost of 90cm=90X/100
SP of 90cm =X
so profit=sp-cp=X-90X/100=10X/100
$profit \: percent = \frac{profit \times 100}{cp} \\ = \frac{10x}{100} \times 100 \div \frac{90x}{100} \\ = \frac{10x}{100} \times 100 \times \frac{100}{90x} \\ = \frac{100}{9} = 11.11\%$
I HOPE IT WILL HELP YOU

Answer 2

Answer:

Step-by-step explanation:

The merchant measures 90cm instead of a meter

So, Error=100cm-90cm

              =10cm

      Used=90cm

THEREFORE, Gain % would be

                   (Error/Used)*100

                =>(10/90)*100

                =>11.1111(approx)

HENCE,THE GAIN %IS 11.1111(approx)