Question

a man sold a radio set for rupees 250 and gain 1/9 cost price find its cost price

Answer 1

let cost price be x

   A/Q 1/9X=250

      X=250I× 9

     X=2250

Answer 2

Given

Selling price of radio =250

Gain=1/9 of cost price

Solution

1st way to solve it

Let the cp of radio=x

$Then \: gain = \frac{1}{9} x$

Sp= cp + gain or profit

$250 = x + \frac{x}{9}$
$250 = \frac{9x + x}{9}$
$250 = \frac{10x}{9}$
$\frac{250 \times 9}{10} = x$
$25 \times 9 =x$


X=225

2nd method (shortcuts)

Gain=1/9

Let the denominator as cp and numerator as profit

Sp=9+1=10

According to the question sp=250

10=250

1 unit assumed =250/10

1 unit assumed =25

Cp=25x9=225

Gain=1x25=25

This is your ans hope it will help you in case of any doubt comment below