The ratio of Pens and Pencils in a shop is 3 : 2 respectively. The average number of Pens and Pencils is 180. What is the number of Pencils in the shop?

Given ratio of pens and pencils = 3 :2

Number of Pens = 3x

Number of Pencils = 2x

Average number of pencils & Pens =  $\frac{3x + 2x}{2} =$ 180

5x = 360

=> x = 72

Hence, the number of pencils = 2x = 72 x 2 = 144.