Calculating Cost of More Pencils and Pens

We are given the cost of a specific number of pencils and pens.

• Cost of 10 pencils and 12 pens = ₹150.

We need to find the cost of 30 pencils and 36 pens.

Cost Relationship Analysis

Let $P$ be the cost of one pencil and $N$ be the cost of one pen.

From the given information, we can write the equation:

$10P + 12N = 150$

We need to calculate the cost for 30 pencils and 36 pens, which can be represented as:

$30P + 36N$

Notice that the number of pencils and pens required is exactly 3 times the number given:

• $30 = 3 \times 10$
• $36 = 3 \times 12$

Therefore, the expression for the required cost can be rewritten as:

$30P + 36N = (3 \times 10)P + (3 \times 12)N$

Factor out the common multiplier, 3:

$30P + 36N = 3 \times (10P + 12N)$

Final Cost Calculation

Substitute the given cost ($10P + 12N = 150$) into the equation:

$30P + 36N = 3 \times 150$

Calculate the final cost:

$3 \times 150 = 450$

So, the cost of 30 pencils and 36 pens is ₹450.