Question

find selling a motorcycle for rupees 23000 a dealer gains 15% find its cost price

Answer 1

Let the cost price(C.P.)=Rs x
Given S.P.=Rs 23000
And gain%=15
So,
Gain%=
S.P.−C.P.
C.P.
×100
⇒15=
23000−x
x
×100
⇒15x=2300000−100x
⇒115x=2300000
⇒x=
2300000
115
⇒x=20000
Hence cp of motorcycle is Rs 20000.

Answer 2

Given,

The selling price of a motorcycle = Rs. 23000

Profit percentage earned by the seller = 15%

To find,

The cost price of the motorcycle.

Solution,

We can simply solve this mathematical problem using the following process:

Let us assume that the cost price of the motorcycle is Rs. x.

Mathematically,

(a) Selling price = (cost price) + (profit earned)

=> (profit earned) = (selling price) - (cost price)

(b) profit percentage = (profit earned)/(cost price)×100

{Statement-1}

Now, according to the question and statement-1;

Profit percentage earned by the seller = 15%

=> (profit earned)/(cost price)×100 = 15%

{according to statement-1 (b)}

=> {(selling price) - (cost price)}/(cost price)×100 = 15%

{according to statement-1 (a)}

=> {(23000) - (x)}/(x)×100 = 15

=> (23000/x) - 1 = 15/100

=> 23000/x = 15/100 + 1 = 15/100 + 100/100 = 115/100

=> x = (23000)×(100)/(115)

=> x = 20,000

=> cost price of the motorcycle = Rs. 20,000

Hence, the cost price of the motorcycle is equal to Rs. 20,000.