Question

by selling an article at some price i get a lose of 7% . had i sold it for rupees 42 more, i would have gain 14%. what is the original price of the aartical​

Answer 1

Explanation:

Let the Cost price be Rs “X"

In the first instance the SP is Rs 56

Profit = SP -CP

Profit = Rs ( 56-X)

In the second instance SP is Rs 42

Loss = -CP -SP

Loss = Rs (X -42)

As per given statement Profit = Loss

=> 56-X = X-42

=>98 = 2X

Or X = Rs49

So, cost price is Rs 49

Case 2: This is asked in a competitive exam or interview (mental maths is useful here)

As the profit and loss are equal for 2 given SP

This implies the CP will be equidistant from both the prices

So, just take the average of both the prices.

(56 +42)/2 = 49

Hope it's clear.