In an examination the average marks of risha is 74. If she got 16 more marks in hindi and 20 more marks in English then her average would have been 78. Find the total number of subjects he studied?a)7b)8c)9d)10e)None of theseCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Answer – 3.9 Explanation : Let total subjects are P.
Then, (74p + 20 + 16)/p = 78 So, P = 9

Answer

Given:
Average marks of Risha = 74
Increased marks in Hindi = 16
Increased marks in English = 20
New average marks = 78

To find:
Total number of subjects Risha studied

Solution:
Let the total number of subjects Risha studied be 'n'

According to the given information,

Total marks obtained = n * 74
New total marks obtained = n * 78

Also,
Total marks obtained + 16 + 20 = New total marks obtained

n * 74 + 16 + 20 = n * 78

Simplifying the above equation, we get

n = 9

Therefore, Risha studied 9 subjects, which is option (C).

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