Multiple choice

A shopkeeper sells an article at loss of $12\dfrac{1}{2}\%$. Had he sold it for Rs. $51.80$ more than he would have earned profit of $6\%$. The cost price of the article is?

  1. Rs. $280$
  2. Rs. $300$
  3. Rs. $380$
  4. Rs. $400$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Loss 12.5% means SP1 = 0.875CP. Profit 6% means SP2 = 1.06CP. Difference = 0.185CP = 51.80. CP = 51.80 / 0.185 = 280.

AI explanation

The difference between a 6% profit and a 12.5% loss represents the total percentage change in value, which is 18.5% (adding 6 and 12.5). This 18.5% of the cost price equals the additional selling price of Rs 51.80. Setting up the equation 18.5 / 100 times cost price equals 51.80 yields a cost price of Rs 280.

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