Multiple choice

By selling an article for Rs 96 a man earns a profit of as much percent as the cost price of article. The cost of one dozen of such articles is

  1. Rs 650

  2. Rs 700

  3. Rs 720

  4. Rs 750
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = x. Profit % = x. Profit = (x/100) * x = x^2/100. Selling Price = CP + Profit = x + x^2/100 = 96. x^2 + 100x - 9600 = 0. (x+160)(x-60) = 0. CP = 60. Cost of one dozen = 60 * 12 = 720.

AI explanation

Let the cost price in rupees be x. The profit percentage is also x, meaning the profit amount is x multiplied by x divided by 100. The selling price formula is cost price plus profit, so x plus (x squared over 100) equals 96. Multiplying by 100 gives the quadratic equation x squared plus 100x minus 9600 equals 0, which yields a cost price of 80 per article. Multiplying this by 12 for one dozen articles gives a total cost of Rs 720.

Keep practicing — related questions