5 pens and 6 pencils together cost ₹9 and 3 pens and 2 pencils cost ₹5. Find the cost of 1 pen and 1 pencil.
5 pens and 6 pencils together cost ₹9 and 3 pens and 2 pencils cost ₹5. Find the cost of 1 pen and 1 pencil.

Let’s assume the cost of a pen and pencil be ₹ a and ₹ b respectively.

Then, forming equations according to the question

5a+6b=9…(a)

3a+2b=5…(b)

On multiplying equation (a)by 2 and equation (b) by 6 we get

10a+12b=18…(c)

18a+12b=30…(d)

Now on subtracting equation (c) from equation (d), we get

18a-10a+12b-12b=30-18

8a=12

a=3/2=1.5

Putting a=1.5 in equation (a), we find b

5(1.5)+6b=9

6b=9-7.5

b=(1.5)/6=0.25

Therefore, the cost of one pen =₹1.50 and so the cost of one pencil =₹0.25