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Akash scored 71 marks in subject A. He scored 58% marks in subject B and x marks in subject C. Maximum marks in each subject were 150. The overall percentage marks obtained by Akash in all the three subjects together were 54%. How many marks did he score in subject C?

Akash scored 71 marks in subject A. He scored 58% marks in subject B and x marks in subject C. Maximum marks in each subject were 150. The overall percentage marks obtained by Akash in all the three subjects together were 54%. How many marks did he score in subject C? Correct Answer 85

GIVEN :

In subject A Akash scored = 71 marks

He scored 58% marks in subject B and x marks in subject C.

Maximum marks in each subject were 150.

Percentage obtained by Akash in all the three subjects together were 54%.

 

CALCULATION :

In subject B Akash scored = 150 × (58/100) = 87

∴ Total marks scored by Akash = 71 + 87 + x = 158 + x

According to problem,

⇒ 158 + x = (150 + 150 + 150) × (54/100)

⇒ 158 + x = 243

⇒ x = 85

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