Question : The marked price of a chair is Rs. 1600. After giving two successive discounts of 10% and $x$%, the chair is sold for Rs. 1368. What is the value of $x$?
Option 1: 7
Option 2: 4
Option 3: 5
Option 4: 8
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Correct Answer: 5
Solution : Marked Price (MP) = Rs. 1600 First discount = 10% Final selling price (SP) = Rs. 1368 Selling price after discount = Marked Price × (1 – Discount %) ⇒ Selling Price after first discount = Rs. 1600 × (1 – $\frac{10}{100}$) = Rs. 1440 The second discount is given as $ x$% ⇒ $1440 × (1 - \frac{x}{100}) =1368$ ⇒ $1440\times(\frac{100-x}{100})=1368$ ⇒ $100-x=\frac{1368\times10}{144}$ ⇒ $100-x=95$ ⇒ $x=5$% Hence, the correct answer is 5.
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