Question

a man sold it for rupees 250 and gained one 9th of its cost price find its cost price and the profit percent​

Answer 1

SP of Thing=₹250

On it he gained 1/9 th of CP

Let CP=₹x
Then Gain=₹x+9

We know
SP=CP+Gain
x+x/9=250
10x/9=250
x=250×9/10
x=225

CP=₹225

Profit %=Gain/cp×100
=25×225×100
=100/9%
=11 1/9%

$\boxed{\mathbf{CP=Rs.\:225}}$

$\boxed{\mathbf{Profit=11 \frac{1}{9} \%}}$

Answer 2

Here, SP=250

then,let the cost price be x

According To Question,

x+9/x=250

=> x=250-x/9

=> x=(2250-x)/9

=> 9x=2250-x

=> 9x+x=2250

=> 10x=2250

=> x=2250/10

=> x=225

CP=225

SP=250

profit=SP-CP=250-225=25

profit percent=(profit/cost price)×100

=(25/225)×100

=(1/9)×100

=11.11%

HOPE SO THIS HELPED YOU.....