Question

The profit obtained by selling an article for Rs. 56 is same as the loss obtained by selling it for Rs.
42. What is its cost price?
1) Rs. 40 2) Rs. 42 30 Rs.45 4) Rs. 49
5) None of these​

Answer 1

Answer:

49

Step-by-step explanation:

Let the Cost price be x

The profit obtained by selling an article for rs 56

Profit = SP-CP

Profit = 56-x

The loss obtained by selling it for rs 42.

Loss = CP-SP

Loss = x -42

Since we are given that The profit obtained by selling an article for rs 56 is same as the loss obtained by selling it for rs 42.

So,

$56 - x = x - 42 \\ 56 + 42 = 2x \\ 98 = 2x \\ x = 49$