Question

A factory makes $1150$ shirts on a day. How many can be sent to shops if $6%$ of the shirts have defects in stitching ?

Answer 1

Hint: A percentage is a number or ratio expressed as a fraction of $100\%$. We know the total number of shirts which are being made. We also know the percentage of the shirts which are having a stitching defect. So now, we have to find out how much $6\%$ of $1150$. This number would be the number of shirts having stitching defects. We will have to subtract this from $1150$ to calculate the number of shirts which do not have a stitching defect and can be sent to the shops.

Complete step-by-step solution:
For example, we have a number. Let us name it $a$ .
So when we are asked, what is $10\%$ of $a$?
It is nothing but $\dfrac{10}{100}\times a=\dfrac{a}{10}$.
So when I add $10$times $\dfrac{a}{10}$ , I would get a complete $a$.
In the same way,$6\%$ of $1150$ would be the following :
$\Rightarrow \dfrac{6}{100}\times 1150=69$.
So we have a total of $69$ shirts with stitching defects which can’t be sent to the shops.
Now let us subtract $69$ from $1150$ to get the number of shirts which have no stitching defects.
Upon doing, we get the following :
$1150-69=1081$
$1081$ are the number of shirts which have no stitching defect in them.
$\therefore $ Hence, $1081$ can be sent to shops if $6\%$ of the $1150$ shirts have defects in stitching.

Note: We should be very careful while doing calculations as it may lead to wrong results. Percentage is a very important chapter. It can be clubbed with other concepts and be given as questions. We should be attentive while reading the question. We might think the solution is done when we find out, $6\%$ of $1150$ but it is not. We sometimes tend to overlook this. It is important to subtract it from the whole to get the correct answer.