Multiple choice

By selling a certain number of goods for Rs. 5 , 500 5,500 , a shopkeeper loses equal to one-tenth of their selling price. Find t he loss percent.

  1. $7\displaystyle \frac {1}{6}\%$
  2. $8\displaystyle \frac {1}{3}\%$
  3. $9\displaystyle \frac {1}{11}\%$
  4. $10\displaystyle \frac {1}{13}\%$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Loss = (1/10) * Selling Price. Loss = CP - SP. So, CP - SP = 0.1 * SP => CP = 1.1 * SP. Loss % = (Loss / CP) * 100 = (0.1 * SP / 1.1 * SP) * 100 = (1/11) * 100 = 9 1/11%.

AI explanation

The loss is one-tenth of the selling price, so Loss = 5500 / 10 = Rs. 550. Using the formula Cost Price = Selling Price + Loss, the cost price is 5500 + 550 = Rs. 6050. Using the loss percentage formula, (550 / 6050) * 100 equals 100 / 11, which is 9 1/11%.

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