By selling an article for Rs. 131.25 a trader gains as much percent as the number representing the cost price of the article. In order to earn 40% profit, at what price (in Rs.) should he sell the article?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 105.
Let the CP be x, so the Gain % = x%.
⇒ x(100 + x)/100 = 131.25.
⇒ x(100 + x) = 13125
⇒ x2 + 100x = 13125
⇒ x2 + 100x - 13125 = 0
⇒ (x - 75)(x + 175) = 0
⇒ x = 75, -175
To get a profit of 40%,
SP = 75 × 140% = 105.