Multiple choice

If a harmonium is sold for $Rs. 16$ the percentage of loss is equal to its cost price. Find out the cost price of the harmonium?

  1. $Rs. 80$ or $Rs. 20$
  2. $Rs. 25$
  3. $Rs. 40$
  4. $Rs. 50$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP = x. Loss = x% of x = (x/100)*x. SP = CP - Loss = x - x^2/100 = 16. x^2 - 100x + 1600 = 0. (x-80)(x-20) = 0. x = 80 or 20.

AI explanation

Let the cost price be x, so the loss percentage is also x. Using the loss formula, Selling Price = Cost Price * (1 - Loss/100), we have 16 = x - x^2 / 100. Multiplying by 100 gives the quadratic equation x^2 - 100x + 1600 = 0, which factors to (x - 20)(x - 80) = 0. The cost price is Rs. 80 or Rs. 20.

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