Question

Boy scored 90 marks in his mid-term exam and 105 in his end-term exam. If the maximum marks in both the examinations are 150, then find the increase in his marks in percentage points.

Answer 1

SOLUTION

GIVEN

Boy scored 90 marks in his mid-term exam and 105 in his end-term exam.

The maximum marks in both the examinations are 150

TO DETERMINE

The increase in his marks in percentage points.

EVALUATION

Maximum marks = 150

Marks obtained in mid-term exam = 90

Marks obtained in end-term exam = 105

Increase in the marks

= 105 - 90

= 15

Hence the required increase in his marks in percentage points

$\displaystyle \sf{ = \frac{15}{150} \times 100\% }$

$\displaystyle \sf{ = \frac{1}{10} \times 100\% }$

$\displaystyle \sf{ = 10\% }$

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Answer 2

Step-by-step explanation:

SOLUTION

GIVEN

Boy scored 90 marks in his mid-term exam and 105 in his end-term exam.

The maximum marks in both the examinations are 150

TO DETERMINE

The increase in his marks in percentage points.

EVALUATION

Maximum marks = 150

Marks obtained in mid-term exam = 90

Marks obtained in end-term exam = 105

Increase in the marks

= 105 - 90

= 15

Hence the required increase in his marks in percentage points

$\displaystyle \sf{ = \frac{15}{150} \times 100\% }$

$\displaystyle \sf{ = \frac{1}{10} \times 100\% }$

$\displaystyle \sf{ = 10\% }$

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