The cost of 4 pens and 5 pencils is ₹193 and the cost of 3 pens and 6 pencils ₹165. The cost of 4 pens and 6 pencils is:

Correct option is A

Given:

The cost of 4 pens and 5 pencils is ₹193.

The cost of 3 pens and 6 pencils is ₹165.

We need to find the cost of 4 pens and 6 pencils.

Solution:

Let the cost of one pen be p and the cost of one pencil be q.

From the condition the given equation

4p + 5q = 193......... (1)

3p + 6q = 165 ........(2)

subtracting  4$$\times$$(2) - 3$$\times$$(1) 

​$$12p + 24q =+ 660 \\ \underline{-12p - 15q = -579} \\ 9q = 81 \\ \ \\ q = 9$$​​

then p = 37 

Now, 

Cost of 4 pens and 6 pencils.

= 4p + 6q = 4(37) + 6(9) = 148 + 54 = 202

The cost of 4 pens and 6 pencils is ₹202