Multiple choice

A trader allows two successive discounts of 20% and 10% on selling an article. If he gets Rs. 108 for that article, find its marked price.

  1. Rs. 150

  2. Rs. 175

  3. Rs. 120

  4. None of these
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A Correct answer
Explanation

Let the marked price be x. After a 20% discount, the price is 0.8x. After a further 10% discount on that, the price is 0.8x * 0.9 = 0.72x. Setting 0.72x = 108, we get x = 108 / 0.72 = 150.

AI explanation

Using the successive discount formula, Selling Price equals Marked Price multiplied by (1 minus the first discount) multiplied by (1 minus the second discount). We establish the equation 108 equals Marked Price multiplied by 0.80 multiplied by 0.90. Solving for the Marked Price gives 108 divided by 0.72, which equals 150. The marked price was Rs. 150.

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