Question

A bicycle is sold for RS 5000 at 25% gain , find the cost price.

Answer 1

Answer:

4760

Step-by-step explanation:

SP= 5000

CP= ?

PROFIT= 25%

As per the formula-:

CP= SP*(100/100+PROFIT%)

= 5000*( 100/ 105)

= 4760

Answer 2

Answer:

₹ 4000 is the cost price of the bicycle.

Explanation

• Selling Price (sp) = ₹ 5000
• Gain = 25%

Let the Cost price be x

As we know that,

$\circ {\pink{\boxed{\underline{\tt{ Cost \ Price _{(CP)} = \dfrac{ Selling \ Price _{SP} \times 100 }{(100+ Gain_{ \% } )} }}}}}$

According to Question,

Putting values,

$\colon\implies{\tt{ x = \dfrac{5000 \times \cancel{100} }{ \cancel{125} } }} \\ \\ \\ \colon\implies{\tt{ x = \dfrac{ \cancel{5000} \times 4 }{ \cancel{5} } }} \\ \\ \\ \colon\implies{\tt{ x = 1000 \times 4 }} \\ \\ \\ \colon\implies{\tt\purple{ x = Rs. \ 4000 }}$

Hence,

• The Cost Price of the bicycle is ₹ 4000 .

More to Know:

• SP = {(100 + Gain %)/100} x CP

• SP = {(100 – Loss %)/100} x CP

• SP = CP + Profit (if SP > CP)

• SP = CP – loss ( if SP > CP)