Question

Shruti secured 60% marks in Mathematics, 55% in English and 60% in Hindi. If the maximum marks in the subjects were 75, 60 and 65 respectively, find her aggregate percentage of marks.

Answer 1

Hint: The formula to find $x\%$ of $y$ is the following: $\dfrac{x}{100}\times y$. We will calculate the marks obtained in each subject from the percentage using this formula. Then we will find the total of maximum marks and the total of the marks obtained by Shruti. Then we will calculate the aggregate percentage of marks.

Complete step by step answer:
Shruti has scored 60% marks in mathematics. The maximum marks in mathematics are 75. So, to find the marks obtained by her in mathematics, we have to calculate 60% of 75. The formula to find $x\%$ of $y$ is $\dfrac{x}{100}\times y$. Substituting the values $x=60$ and $y=75$, we will get the value of marks obtained by her in mathematics in the following manner,
Marks obtained in mathematics \[=\dfrac{60}{100}\times 75=45\].
 Now, she has scored 55% in english and the maximum marks in english are 60. So, the marks obtained by her in english are 55% of 60. Using the formula again, we get the following,
Marks obtained in english \[=\dfrac{55}{100}\times 60=33\].
Next, she secured 60% in hindi. The maximum marks in hindi are 65. We will calculate the marks she obtained in hindi using the same formula, as follows,
Marks obtained in hindi \[=\dfrac{60}{100}\times 65=39\].
The total marks obtained by her in all the subjects is $45+33+39=117$. The total of maximum marks in all the subjects is $75+60+65=200$. Now, we have to calculate the aggregate percentage obtained by her.
Aggregate percentage $=\dfrac{117}{200}\times 100=\dfrac{117}{2}=58.5$.

The aggregate percentage obtained by Shruti is 58.5%.

Note: alculating $x\%$ of $y$ is the most crucial step in this question. Calculating percentages is tricky and there are possibilities to make minor mistakes. It is necessary that we understand the meaning of aggregate percentage and how to calculate it for this question.