Question : In an examination, the average marks obtained by John in English, Maths, Hindi and Drawing were 50. His average marks in Maths, Science, Social Studies and Craft were 70. If the average marks in all seven subjects are 58, his score in Maths is:
Option 1: 50
Option 2: 52
Option 3: 60
Option 4: 74
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Correct Answer: 74
Solution :
Given: The average marks of John in English, Maths, Hindi and Drawing = 50
$\therefore$ The sum of marks in English, Maths, Hindi and Drawing = 50 × 4 = 200
The average marks in Maths, Science, Social Studies and Craft = 70
$\therefore$ The sum of marks in Maths, Science, Social Studies and Craft = 70 × 4 = 280
The average marks in all seven subjects = 58
$\therefore$ The sum of marks in all seven subjects = 58 × 7 = 406
Marks scored in Maths = (200 + 280) – 406 = 74
Hence, the correct answer is 74.
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