A man purchased two items at the same price and sold one…

A man purchased two items at the same price and sold one at a profit of 15% and the other at a loss of 5%. If the difference between the two selling prices is ₹80, then what is the cost price of one item?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. ₹400

Concept USed:

$SP = {CP \times {{100 +/- (Profit/Loss)} \over 100}}$

Explanation:

According to the given question,

Let the CP of each article be 100x.

SP of first item = 115x

Sp of seconf item = 95x

Now, according to the given data, 115x - 95x = 80

⇒ 20x = 80

⇒ x = 4

Now, CP = 100x = 400

Hence the required answer is 400.

SSC GD 2023 PYQ — Question 58