Question

If a cake having 16 slices is to be divided in the ratio 1 : 3 between A and B respectively, what is the difference between the number of slices received by B and A?

• A. 6
• B. 4
• C. 8
• D. 3

Answer 1

The correct option is C 8

Sum of the terms of the ratio = 1 + 3 = 4
$\Rightarrow$ Value of 4 parts = 16 slices
$\Rightarrow$ Value of 1 part
$=\frac{16}{4}=4$

$\therefore$ A receives 1 part = $1\times 4=4$ slices
B receives 3 parts = $3\times 4=12$ slices

$\therefore$ Difference between the number of slices received = 12 - 4 = 8