Question

Prashant got 80% mark in the half yearly examination and 72 marks in the annual examination in half yearly examination the maximum RS 1,000 and in annual examination the maximum mark 1200 find the percentage of marks obtain by Prashant considering both the examination simultaneously

Answer 1

Prashant got 80% marks in the half yearly examination .

Total marks in half yearly examination = 1000

Marks scored in half yearly examination

= 80% of 1000

$= \frac{80}{100} \times 1000 \\ \\ = 80 \times 10 \\ \\ = 800$

So, he scored 800 marks in half yearly examination out of 1000.

He got 72 % marks in annual examination.

Total marks in annual examination = 1200

Marks scored in annual examination

= 72% of 1200

$= \frac{72}{100} \times 1200 \\ \\ = 72 \times12 \\ \\ = 864$
So, he scored 864 marks in annual examination out of 1200.

Total maximum marks in half yearly as well as annual examination

= 1000+1200

= 2200

Total marks scored in half yearly as well as annual examination

= 800+864

= 1664

$Percentage \: scored \: \\ \\ = \frac{Total \: marks \: scored}{ Total \: maximum \: marks} \times 100 \\ \\ = \frac{1664}{2200} \times 100 \\ \\ = \frac{1664}{22} \\ \\ = 75.63\%$

So, the percentage of marks obtain by Prashant considering both the examination simultaneously = 73.63 %.

Answer 2

Step-by-step explanation:

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