Question

Shikha got 66 marks out of 80 in her Mathematics test. Calculate the percentage of her marks?

Answer 1

Hint: To find the fraction of the total marks Shikha got, take the ratio of marks she obtained to the total number of marks of which the test is held. Now, in the next step, find the percentage of marks she received by multiplying the fraction of marks with 100 and include the percentage sign to get the answer. Cancel the common factors to get the simplified form.

Complete step by step answer:
Here we have been asked to find the percentage of marks that Shikha obtained in her Mathematics test if the maximum marks of the test is 80 and she obtained 66 marks.
Now, we know that the percentage is a fraction in a 100, it is obtained by taking the ratio of the marks Shikha obtained to the total number of marks of which the test is. This ratio when multiplied with 100 gives the percentage of marks Shikha obtained. So we have,
$\Rightarrow$ Fraction of the total marks Shikha obtained = ${\displaystyle \frac{66}{80}}$
Multiplying the fraction with 100 we get,
$\Rightarrow$ Percentage of the total marks Shikha obtained = ${\displaystyle \frac{66}{80}}\times 100$
Cancelling the common factors and simplifying we get,
$\Rightarrow$ Percentage of the total marks Shikha obtained = ${\displaystyle \frac{165}{2}}$
Converting into the decimal form we get,
$\therefore$ Percentage of the total marks Shikha obtained = 82.5 %
Hence, Shikha obtained 82.5 % of marks in the Mathematics test.

Note: Note that do not consider the total marks of the test as 100 in a hurry because it is already given that the total marks of the test is 80 or you may get the calculation wrong. Remember that if we have to convert a fraction or decimal into the percentage then we multiply then with 100. Percentage is a dimensionless number.