Multiple choice

A man sold a radio-set for Rs. $250$ and gained one-ninth of its cost price. Find its cost price

  1. Rs. $215$
  2. Rs. $225$
  3. Rs. $235$
  4. Rs. $245$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let the cost price be x. The gain is x/9, so the selling price is x + x/9 = 10x/9. Setting 10x/9 = 250, we get 10x = 2250, so x = 225.

AI explanation

Let the cost price be C; the problem states the selling price of 250 equals the cost price plus one-ninth of the cost price, giving 250 = C + C/9. Combining the terms results in 250 = 10C/9. Solving this equation gives C = 225. The cost price is Rs. 225.

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