Question

20 pens are divided between A and B in the ratio 3:2. Find their respective shares.

• A. 6, 14
• B. 12, 8
• C. 8, 12
• D. 10, 10

Answer 1

The correct option is B

12, 8

Given: Total Number of pens = 20
Ratio = 3:2
A's share = $\frac{3}{3+2}\times 20$
= $\frac{3}{5}\times 20$
= $\frac{60}{5}$
= $12$
B's share = $\frac{2}{3+2}\times 20$
= $\frac{2}{5}\times 20$
= $\frac{40}{5}$
= $8$
Therefore, A's and B's shares are 12 and 8 respectively.