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The marked price of an article is Rs. 2,400. It is sold for Rs. 1,542.24 after allowing three successive discounts of 15%,10% and x%. What is the value of x?
1. 16
2. 16.5
3. 18
4. 15.6

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Correct Answer - Option 1 : 16

Given :

The marked price of the article = Rs.2400

The selling price of the article = Rs.1542.24

Three successive discounts are 15%,10% and x%

Formula used :

Selling price = Marked price - Discount

Calculation :

⇒ 1542.24 = 2400 × (85/100) × (90/100) × (\( { {100-x} \over 100}\))

⇒ 1542.24 = {1836 × (100 - x)}/100

⇒ 154224 = 183600 - 1836x

⇒ 1836x = 29376

⇒ x = 16

∴ The value of 'x' is 16

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