Question

Cost of 6 pens and 9 pencils is ₹126. What is the cost of 8 pens and 12 pencils?

• A. ₹156
• B. ₹159
• C. ₹162
• D. ₹168

Answer 1

The Correct Option is D

To solve this problem, we'll use ratio and proportion concepts. First, we know the total cost of 6 pens and 9 pencils is ₹126. We can set up the following equations:

Let the cost of a pen be ₹p and the cost of a pencil be ₹q.

So, 6p + 9q = 126 (Equation 1).

We want to determine the cost of 8 pens and 12 pencils:

8p + 12q = ?

Observe that 8 pens and 12 pencils is basically (4/3) times 6 pens and 9 pencils:

Ratio of (8 pens + 12 pencils) to (6 pens + 9 pencils) is 4/3;

To find the cost:

(8p + 12q) = (4/3)(6p + 9q)

Substitute the known value from Equation 1:

(8p + 12q) = (4/3) * 126

This simplifies to:

(8p + 12q) = 168

Therefore, the total cost of 8 pens and 12 pencils is ₹168.