Question

$25\%$ of the total mangoes which are rotten is$1,250$. Find the total number of mangoes in the basket. Also, find the number of good mangoes.

Answer 1

Step1: Find the total number of mangoes in the basket

Assume the total number of mangoes to be $x$
$\begin{array}{rcl}25\%ofx& =& 1250\\ \left(\frac{25x}{100}\right)& =& 1250\\ x& =& \frac{\left(1250\times 100\right)}{25}\\ x& =& 5000\mathrm{mangoes}\end{array}$
$\therefore$Total number of mangoes in the basket $=5000$

Step2: Find the number of good mangoes.
$\begin{array}{rcl}\mathrm{Number}\mathrm{of}\mathrm{good}\mathrm{mangoes}& =& \mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{mango}-\mathrm{Number}\mathrm{of}\mathrm{rotten}\mathrm{mango}\\ & =& 5000–1250\\ & =& 3750\end{array}$

$\therefore$Number of good mangoes$=3750$

$\therefore$The total number of mangoes in the basket and the number of good mangoes are$5000$ and$3750$.