What amount is $10\% $ more than ${\text{Rs}}90$?
Answer
579.9k+ views
Hint: Here, we will first find the increase in the original amount using the given information. Then we will add the increased amount to the given amount to find the required answer.
Complete step-by-step answer:
We know that ‘Percentage’ means ‘per 100’ or we can say that percentage is that number which can be expressed as a fraction of 100 or by just using the $\% $ sign.
Now, in this question, it is asked to find what amount is $10\% $more than ${\text{Rs}}90$.
So, first of all, we will find the increase in the percentage of the original amount.
Increase in the original amount $ = 10\% \times 90$
We can write the percentage sign, i.e. $\% $ as $\dfrac{1}{{100}}$.
$ \Rightarrow $ Increase in the original amount $ = \dfrac{{10}}{{100}} \times 90 = 9$
Therefore, the increase in the original amount is 9.
Now, in order to find the new amount after the increase of the given percentage in the given amount, we will add the increase of the original amount in the original amount to find the required new amount.
Hence, the required amount $ = \left( {90 + 9} \right) = {\text{Rs}}99$
Therefore, the amount which is $10\% $ more than ${\text{Rs}}90$ is ${\text{Rs}}99$
Hence, this is the required answer.
Note: As in this question it is asked that what amount is $10\% $ more than ${\text{Rs}}90$, this could be misinterpreted and misread and hence, we could assume that we have to let the amount and find the given percentage of it which is equal to the given amount. Hence, we could write this as:
$x \times 10\% = {\text{Rs}}90$
$ \Rightarrow x = {\text{Rs}}900$
This is completely and clearly wrong
Hence, it is really important to break the given sentences correctly and then form the mathematical expression simultaneously.
Complete step-by-step answer:
We know that ‘Percentage’ means ‘per 100’ or we can say that percentage is that number which can be expressed as a fraction of 100 or by just using the $\% $ sign.
Now, in this question, it is asked to find what amount is $10\% $more than ${\text{Rs}}90$.
So, first of all, we will find the increase in the percentage of the original amount.
Increase in the original amount $ = 10\% \times 90$
We can write the percentage sign, i.e. $\% $ as $\dfrac{1}{{100}}$.
$ \Rightarrow $ Increase in the original amount $ = \dfrac{{10}}{{100}} \times 90 = 9$
Therefore, the increase in the original amount is 9.
Now, in order to find the new amount after the increase of the given percentage in the given amount, we will add the increase of the original amount in the original amount to find the required new amount.
Hence, the required amount $ = \left( {90 + 9} \right) = {\text{Rs}}99$
Therefore, the amount which is $10\% $ more than ${\text{Rs}}90$ is ${\text{Rs}}99$
Hence, this is the required answer.
Note: As in this question it is asked that what amount is $10\% $ more than ${\text{Rs}}90$, this could be misinterpreted and misread and hence, we could assume that we have to let the amount and find the given percentage of it which is equal to the given amount. Hence, we could write this as:
$x \times 10\% = {\text{Rs}}90$
$ \Rightarrow x = {\text{Rs}}900$
This is completely and clearly wrong
Hence, it is really important to break the given sentences correctly and then form the mathematical expression simultaneously.
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