Question

a shopkeeper sells an article at rs. 40 and gets x% profit. however, when he sells it at rs. 20, he faces same percentage of loss. what is the original cost of the article

Answer 1

Answer:

Original Cost price is Rs. 30

Step-by-step explanation:

Given: If Selling Price = Rs. 40 then profit % = x %

           If Selling Price = Rs. 20 then loss % = x %

To find: Cost Price

Let say Cost price be y

We know that

$Profit\:Percentage=\frac{SP-CP}{CP}\times100$

$x=\frac{40-y}{y}\times100$ .................(1)

$Loss\:Percentage=\frac{CP-SP}{CP}\times100$

$x=\frac{y-20}{y}\times100$ .................(2)

To find value of CP

divide (1) by (2)

we get,

$1=\frac{40-y}{y-20}$

y - 20 = 40 - y

y + y = 40 + 20

2y = 60

y = 30

Therefore, Original Cost price is Rs. 30