Let’s assume the cost of one pen is represented by ‘P’ rupees and the cost of one pencil is represented by ‘C’ rupees. According to the given information:

Ann bought 2 pens, so the total cost of the pens would be 2P rupees.

Ann bought 5 pencils, so the total cost of the pencils would be 5C rupees.

The total cost of the purchase was 80 rupees.

From the given information, we can form the equation:

2P + 5C = 80

We also know that the cost of 2 pens is 30 rupees:

2P = 30

To find the cost of one pen and one pencil, we need to solve this system of equations. We can start by solving the second equation for P:

2P = 30

P = 30/2

P = 15

Now, we can substitute this value of P into the first equation:

2P + 5C = 80

2(15) + 5C = 80

30 + 5C = 80

5C = 80 – 30

5C = 50

C = 50/5

C = 10

Therefore, one pen costs 15 rupees and one pencil costs 10 rupees.