Multiple choice

A shopkeeper sell an article at a loss of 25 / 2 % . Had he sold for Rs 51.80 more , he would have earned a profit of 6 % . The cost price of the article is ?

  1. 280

  2. 300

  3. 380

  4. 400
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let CP be x. Loss of 12.5% means SP1 = 0.875x. Profit of 6% means SP2 = 1.06x. Difference = 1.06x - 0.875x = 0.185x. Given 0.185x = 51.80, x = 51.80 / 0.185 = 280.

AI explanation

The loss percentage of 25/2% equals 12.5%, meaning the first selling price is 87.5% of the cost price. The profit of 6% means the second selling price is 106% of the cost price. The difference of Rs. 51.80 represents the gap between these two percentages, so 106% - 87.5% = 18.5% of the cost price equals 51.80. Solving this gives the cost price as 51.80 / 0.185 = 280.

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