Question

By selling a car 57,500, a man gained 15%. What was his cost price?​

Answer 1

Answer:

15% =15/100 = 3/20 =

Step-by-step explanation:

57500×3/20 =

17250/2 =

8625

Answer 2

Answer:

The cost price is 50,000

Step-by-step explanation:

Given -

Selling price = $57,500$

Profit percentage = $15$ %

To find -

The cost price

Solution -

Cost price = C.P.

Selling price = S.P.

Profit means selling price(S.P.) minus cost price(C.P.) . It is calculated on the basis of cost price only.

If Cost price is more than selling price then it is Profit.

Let, the cost price is $x$

As we know that ,

$Profit \:\: percentage= \frac{S.P.-C.P.}{C.P.} \times100$

Put the given value in these equation we get

$15 = \frac{57500-x}{x} \times100$

$\frac{15}{100} = \frac{57500-x}{x}$

$\frac{15}{100} \times x= {57500-x}$

$\frac{15x}{100} = 57500-x$

Divide right hand side by 5 we get

$\frac{3x}{20} = 57500-x$

Shift 20 to right it becomes multiplication 20

$3x= 20(57500-x)\\3x = 1150000 - 20x$

Shift -20x to left side it becomes +20x

$3x+20x=1150000$

$23x=1150000$

Divide both side by 23 we get

$x= 50000$

∴ The cost price is 50,000 .