Question

by selling a bedsheet for₹640 ,a shopkeeper earns a profit of 28%. how much did it cost the shopkeeper?​ give answer to me. I will give you DJ ALOK in free fire give I'D with answer​

Answer 1

Answer:

do 28/100*640 then the rsult is added to the selling price

Step-by-step explanation:

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Answer 2

• GIVEN:-

SP = Rs. 640

Profit% = 28%

• To Find:-

CP.

• SOLUTION:-

We know that,

$\large\boxed{\sf{ SP =\huge (\large1 + \frac{Profit\%}{100}\huge)\large \times\:CP}}$

Putting the values,

$\large\Longrightarrow{\sf{ SP = \huge(\large1 + \frac{Profit\%}{100}\huge)\large \times\:CP}}$

$\large\Longrightarrow{\sf{ 640 = (1 + \frac{28}{100}) \times\:CP}}$

$\large\Longrightarrow{\sf{ 640= (1 + \frac{7}{25}) \times\:CP}}$

$\large\Longrightarrow{\sf{ 640= ( \frac{25 +7}{25}) \times\:CP}}$

$\large\Longrightarrow{\sf{ 640= (\frac{32}{25}) \times\:CP}}$

$\large\Longrightarrow{\sf{ 640= 1.28\times\:CP}}$

$\large\Longrightarrow{\sf{\huge\frac{640}{1.28}\large=CP}}$

$\large\therefore\boxed{\sf{CP =Rs.\: 500}}$

• Now let's verify it:-

We know that,

Profit = SP - CP

Profit = Rs. ( 640-500)

Profit = Rs. 140

Therefore,

$\large\boxed{\sf{Profit\%= \frac{Profit}{CP}\times100}}$

$\large\Longrightarrow{\sf{28\%= (\frac{140}{500})\times100}}$

$\large\Longrightarrow{\sf{28\%= 0.28\times100}}$

$\large\Longrightarrow{\sf{28\%= 28\%}}$

$\large\therefore\boxed{\sf{LHS=RHS}}$

$\huge\blue\therefore\boxed{\sf{\blue{CP =Rs.\: 500}}}$