Question

A crate of mangoes contains one bruised mango for every $30$ mangoes in the crate. If $3$ out of every $4$ bruised mango are considered unsaleable, and there are $12$ unsaleable mangoes in the crate, how many mangoes are there in the crate?

• A. $480$
• B. $500$
• C. $420$
• D. $520$

Answer 1

The correct option is A $480$

Let $x$ be the total number of mangoes in the crate, Bruised mongo $=$ $\frac{1}{30}x$

unsaleable mangoes $\frac{3}{4}\left(\frac{1}{30}x\right)$

$\Rightarrow$ $\frac{1}{40}x=12$

$\Rightarrow$ $x=12\times 40$

$\Rightarrow$ $x=480$