If a number of pens and pencils are bought in the ratio of 5:3, Ashok has to pay ₹44.If the ratio is changed as 3:5, then he has to pay ₹36. Find the ratio of the price of one pen to one pencil.

Let's assume the price of one pen to one pencil is 'y' and 'z' respectively.

If a number of pens and pencils are bought in the ratio of 5:3, Ashok has to pay ₹44.

5y+3z = 44    Eq.(i)

If the ratio is changed as 3:5, then he has to pay ₹36.

3y+5z = 36    Eq.(ii)

Multiply Eq.(i) by 3 and Eq.(ii) by 5.

15y+9z = 132    Eq.(iii)

15y+25z = 180    Eq.(iv)

Eq.(iv)-Eq.(iii)

15y+25z-(15y+9z) = 180-132

15y+25z-15y-9z = 180-132

16z = 48

z = 3

Put the value of 'z' in Eq.(i).

$$5y+3\times3 = 44$$

5y+9 = 44

5y = 44-9

5y = 35

y = 7

Ratio of the price of one pen to one pencil = 7 : 3