Question

Two pens and three pencils cost Rs 86. Four Pens and a pencil cost Rs. 112. Find the cost of a pen.

• A. Rs.20
• B. Rs.10
• C. Rs.25
• D. Rs.15

Answer 1

The Correct Option is C

Let the cost of a pen be \( p \) and the cost of a pencil be \( q \). 

Given conditions:

\[ 2p + 3q = 86 \quad \text{(Equation 1)} \]

\[ 4p + q = 112 \quad \text{(Equation 2)} \]

Step 1: Multiply Equation 2 by 3:

\[ 3(4p + q) = 3(112) \]

\[ 12p + 3q = 336 \]

Step 2: Subtract Equation 1 from this result:

\[ (12p + 3q) - (2p + 3q) = 336 - 86 \]

\[ 10p = 250 \]

Step 3: Solve for \( p \):

\[ p = \frac{250}{10} = 25 \]

Thus, the cost of a pen is Rs. 25.