Question

28 is divided into two parts in such a way that $\frac{6}{5}$ of one part is equal to $\frac{2}{3}$ of the other. Find the smaller part.

• A. 9
• B. 8
• C. 18
• D. 10

Answer 1

The correct option is D

10

Let one part be x.

Then other part = 28 - x

Given that, $\frac{6}{5}$ of one part = $\frac{2}{3}$ of the other.

$\Rightarrow \frac{6}{5}x=\frac{2}{3}(28-x)$

$\Rightarrow$ 9x = 5(28 - x)

$\Rightarrow$ x = 10

$\therefore$ the other part = 28 - 10 = 18
Hence, the smaller part is 10