Question

Micro Sims Pvt. Ltd. produces $1200$ phones everyday. If out of these, $2\frac{1}{3}\%$ are faulty and $4\frac{1}{3}\%$ are defective in packaging. Then how many non-faulty and non-defective packaged phones are produced everyday?

Answer 1

Step 1. Determine the number of faulty phones produced every day.

Given that a total number of phones produced every day is $1200$ and $2\frac{1}{3}\%$ of the phones produced every day are faulty.

Therefore,

$\begin{array}{rcl}\mathrm{Number}\mathrm{of}\mathrm{faulty}\mathrm{phones}\mathrm{produced}\mathrm{everyday}& =& 1200\times 2\frac{1}{3}\%\\ & =& 1200\times \frac{7}{3}\%\\ & =& 1200\times \frac{7}{3}\times \frac{1}{100}\\ & =& 28\end{array}$

Hence, the number of faulty phones produced every day is $28$

Step 2. Determine the number of defective packaged phones produced every day.

Given that $4\frac{1}{3}\%$ of the phones produced everyday are defective in packaging. Therefore,

$\begin{array}{rcl}\mathrm{Number}\mathrm{of}\mathrm{defective}\mathrm{phones}\mathrm{produced}\mathrm{everyday}& =& 1200\times 4\frac{1}{3}\%\\ & =& 1200\times \frac{13}{3}\%\\ & =& 1200\times \frac{13}{3}\times \frac{1}{100}\\ & =& 52\end{array}$

Hence, the number of defective packaged phones produced every day is $52$

Step 3. Determine the number of non-faulty and non-defective packaged phones produced every day.

$\begin{array}{rcl}\mathrm{Number}\mathrm{of}\mathrm{non}-\mathrm{faulty}\mathrm{and}\mathrm{non}-\mathrm{defective}\mathrm{phones}\mathrm{produced}\mathrm{everyday}& =& \mathrm{Total}\mathrm{phones}-\left(\mathrm{Faulty}\mathrm{phones}+\mathrm{Defective}\mathrm{phones}\right)\\ & =& 1200-\left(28+52\right)\\ & =& 1200-80\\ & =& 1120\end{array}$

Hence, $1120$ non-faulty and non-defective packaged phones are produced every day.