Question

Jay and Vijay spent and 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?
1. A pencil costs more than a pen
2. The price of a pencil is equal to that of a pen
3. The price of a pen is two times the price of a pencil
4. The price of a pen is three times the price of a pencil

Answer 1

Correct Answer - Option 3 : The price of a pen is two times the price of a pencil

Given:

Jay bought 3 pens and 5 pencils

Vijay bought 2 pens and 7 pencils

Both Jay and Vijay spent same amount of money.

Calculation:

Let the price of each pen is x and each pencil is y.

Money spent by Jay = 3x + 5y

Money spent by Vijay = 2x + 7y

Since both amounts are equal,

⇒ 3x + 5y = 2x + 7y

⇒ x = 2y

So, price of pen is double that of pencil.

Hence, option 3 is correct.