After selling X notebooks, a man earns the profit equal to selling price of Y pens while selling X pens, he losses the amount equal to selling price (Y + 1) notebooks. The numerical values of profit percentage and loss percentage are equal and CP of a notebook is half the CP of a pen. The ratio of selling price of pen and notebook is 2 : 3. From the given statement which of the following can be determined? A. Value of X. B. Value of Y. C. The cost price of pen and notebook.
After selling X notebooks, a man earns the profit equal to selling price of Y pens while selling X pens, he losses the amount equal to selling price (Y + 1) notebooks. The numerical values of profit percentage and loss percentage are equal and CP of a notebook is half the CP of a pen. The ratio of selling price of pen and notebook is 2 : 3. From the given statement which of the following can be determined? A. Value of X. B. Value of Y. C. The cost price of pen and notebook. Correct Answer Only B
Suppose CP of a notebook is Rs. P and thus CP of a pen will be Rs. 2P.
Since the ratio of the selling price of pen and notebook is 2 : 3;
Suppose SP of a notebook is Rs. 3k and thus SP of a pen will be Rs. 2k
∴ Profit percentage on selling X notebooks = × 100
Loss percentage on selling X Pens = × 100
∴ × 100 = × 100
⇒ 4Yk = 3Yk + 3k
⇒ Y = 3
Value of X and the CP’s can’t be determined.