Question
Normally, a retailer gives a 15% discount on a laptop.
But on Republic Day, he offered two successive discounts of 10% each instead. This reduced the selling price of a laptop by Rs. 1020. What is the marked price of the laptop?Solution
ATQ,
Let the marked price of the laptop be Rs. 100x. Now, equivalent discount of 2 successive discounts of 10% each = {10 + 10 ā (10²/100)} = 19% Extra discount on Republic Day = (19 ā 15)% = 4% According to the question, 4% of 100x = 1020 Or, 4x = 1020 Or, x = 255 Or, 100x = 25500 Therefore, marked price of the laptop = Rs. 25,500
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