Multiple choice

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

  1. $1\displaystyle \frac {1}{7}\%$
  2. $7\displaystyle \frac {1}{8}\%$
  3. $10\displaystyle \frac {1}{3}\%$
  4. $11\displaystyle \frac {1}{9}\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Selling price = 250. Profit = (1/9) * Cost Price. SP = CP + Profit = CP + (1/9)CP = (10/9)CP. 250 = (10/9)CP => CP = 225. Profit = 250 - 225 = 25. Profit % = (25/225) * 100 = 100/9 = 11 1/9%.

AI explanation

Let the cost price be C, so the selling price equation is 250 = C + C/9, which gives 250 = 10C/9. Solving for C yields 225, making the profit 250 - 225 = 25. The profit percent is (25 / 225) * 100 = 100/9 %. The profit percent is 11 1/9%.

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