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If the cost price of 2 copies of a book is equal to the Marked price of one copy of the same book and the cost price of 3 copies of the same book is equal to the selling price of 2 copies of the same book, which of the following statements is correct?

If the cost price of 2 copies of a book is equal to the Marked price of one copy of the same book and the cost price of 3 copies of the same book is equal to the selling price of 2 copies of the same book, which of the following statements is correct? Correct Answer Marked price of 3 copies of the book is equal to the selling price of 4 copies of the same book

Cost price of 2 copies is equal to the Marked Price of one copy

If CP = x, then MP = 2x

Cost price of 3 copies is equal to the Selling Price of 2 copies

⇒ 3 CP = 2 SP

⇒ SP = 1.5x

So a discount of (2x - 1.5x) = 0.5x is offered on the Marked Price

Discount% = × 100%

⇒ × 100% = (0.5x/2x) × 100% = 0.25 × 100% = 25%

So the options 2 and 4 are incorrect

Consider option 1, MP of 4 copies = 8x and SP of 3 copies = 6x (Option 1 is incorrect)

Consider option 3, MP of 3 copies = 6x and SP of 4 copies = 6x (Option 3 is correct)

∴ Required answer = Option 3

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