Question

A student secures \[90\%\],\[60\%\], and \[54\%\ \] mark in test papers with \[100\],\[150\] and \[200\] respectively as maximum marks. The percentage of his aggregate is

Answer 1

Hint: In this question, given that a student secures \[90\%\] out of \[100\], \[60\%\] out of \[150\] and \[54\%\] out of \[200\]. Here we need to find the percentage of his aggregate. First we need to find the total marks separately obtained in the test. Then we need to calculate the percentage of this aggregate.

Complete step-by-step solution:
A student secures \[90\%\] ,\[60\%\], and \[54\%\] mark in test papers with \[100\],\[150\] and \[200\] Respectively as maximum marks. We need to find the total marks separately obtained in the test.
\[90\%\ \] out of \[100\],
 \[\dfrac{90}{100} \times 100\]
By simplifying,
We get,
\[= \ 90\]
\[60\%\] out of \[150\],
 \[\dfrac{60}{100} \times 150\]
By simplifying,
We get,
\[= 90\]
\[54\%\ \] out of \[200\],
\[\dfrac{54}{100} \times 200\]
By simplifying,
We get,
\[= 108\]
Then the total marks obtained in the test is \[90 + 90 + 108\]
By adding,
We get,
\[= 288\]
Total maximum mark which can be obtained,
\[= 100 + 150 + 200\]
By adding,
We get,
\[= 450\]
Then we need to find the aggregate percentage,
\[\text{Aggregate percentage} = \dfrac{288}{450} \times 100\]
By simplifying,
We get,
\[\text{Aggregate percentage} = 64\%\]
Thus the percentage of his aggregate is \[64\%\]
Final answer :
The percentage of his aggregate is \[64\%\]

Note: Aggregate is nothing but the sum of several smaller amounts added together. Percentage is defined as a number or a ratio expressed in the fraction of \[100\]. It is a dimensionless number and has no unit of measurement.