Multiple choice

Jeevani from Ulhasnagar sold a watch for Rs. 96 and got a percentage of profit equal to the cost price of the watch. What is the cost price of the watch?

  1. Rs. 48

  2. Rs. 60

  3. Rs. 80

  4. Rs. 96
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = x. Profit % = x%. SP = CP + (x/100)*x = x + x^2/100 = 96. x^2 + 100x - 9600 = 0. (x+160)(x-60) = 0. Since CP must be positive, x = 60.

AI explanation

Using the relationship Cost Price plus Profit equals Selling Price, let the cost price be x. The profit is x percent of the cost price, so the selling price equals x plus x squared divided by 100. Setting this equal to 96 gives the quadratic equation x squared plus 100x minus 9600 equals 0. Solving this equation yields a positive root of 60. The cost price of the watch is Rs. 60.

Keep practicing — related questions