Question

The percentage of profit earned by selling an article for ₹1920 is equal to the percentage loss incurred by selling the same article for ₹1280. At what price should the article be sold to make a 25% profit?

Options

• ₹2000

• ₹2200

• ₹2400

• Data inadequate

Answer 1

₹2000
Explanation : 
Let CP be ₹ x.

Then, `((1920-x))/(x)xx100= (x-1280)/(x)xx100`

⇒ 1920 - x = x - 1280
⇒ 2x = 3200 ⇒ x = 1600
∴ Required SP = 125% of ₹1600

= ₹`(125/100xx1600)` = ₹2000