Multiple choice

If a show-piece had been sold for a gain of 8%, then it would have fetched Rs. 50 more. What is the cost price of the show-piece, if it was sold for a loss of 6%?

  1. Rs. 257.14

  2. Rs. 157.14

  3. Rs. 573.14

  4. Rs. 357.14

  5. Rs. 157.57
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be x. Gain of 8% means SP1 = 1.08x. Loss of 6% means SP2 = 0.94x. Difference = 1.08x - 0.94x = 0.14x. Given 0.14x = 50, x = 50 / 0.14 = 357.14.

AI explanation

The difference between a gain of 8% and a loss of 6% is a 14% difference of the cost price. The problem states this difference equals Rs 50, meaning 14% of the cost price is 50. Using the formula Cost Price equals (Difference divided by Percentage Difference) times 100, we calculate 50 divided by 0.14, which equals Rs 357.14.

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