Question : A discount of 20% is given for the purchase of two books by a bookseller and a discount of 25% is offered if a customer buys more than two books. A 10% discount is being offered to all the customers on purchase of one book. An additional 5% discount will be given to students. Sohan, a student of M.Com. in college, bought a book for INR 513. What was the marked price of the book?
Option 1: INR 650
Option 2: INR 540
Option 3: INR 600
Option 4: INR 605
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Correct Answer: INR 600
Solution : Let's denote the marked price of the book as $x$. For the purchase of one book, a 10% discount is offered. ⇒ The price Sohan paid is 90% of the marked price 90% of $x$ = 0.9$x$ Sohan is a student, so an additional 5% discount is given ⇒ The final price he paid 95% of 0.9$x$ = 0.95 × 0.9 × $x$ Given, that Sohan bought the book for INR 513 So, $0.95×0.9×x=513$ ⇒ $x=\frac{513}{0.95×0.9}$ ⇒ $x=\frac{513}{0.855}$ ⇒ $x=600$ ⇒ Marked price of the book = INR 600 Hence, the correct answer is 600.
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