Jay and Vijay spent an equal amount of money to buy some pens and special pencils of the same quality from the same store. If Jay bought 3 pens and 5 pencils, and Vijay bought 2 pens and 7 pencils, then which one of the following is correct ?

Correct Option: (c) The price of a pen is two times the price of a pencil

Let the price of a pen be P and the price of a pencil be L. According to the question, Jay and Vijay spent an equal amount. Jay bought 3 pens and 5 pencils: Total cost = 3P + 5L. Vijay bought 2 pens and 7 pencils: Total cost = 2P + 7L. Setting them equal: 3P + 5L = 2P + 7L. Rearranging the terms: 3P - 2P = 7L - 5L, which gives P = 2L. Thus, the price of a pen is two times the price of a pencil. Therefore, option (c) is correct.