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Consider the following data:

 

Average marks in English

Average marks in Hindi

Girls

9

8

Boys

8

7

Overall average marks

8.8

x

 

What is the value of x in the above table?


1. 7.8
2. 7.6
3. 7.4
4. 7.2

1 Answer

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Correct Answer - Option 1 : 7.8

Formula used :

Average = Sum of all values/Number of values 

Calculations :

Let the number of girls be 'g' 

Let the number of boys be 'b' 

Total number of boys and girls = b + g 

Total marks of girls in English = 9 × g = 9g 

Total marks of boys in English = 8 × b = 8b 

Total marks in English 9g + 8b 

According to the question 

⇒ 8.8 = (9g + 8b)/(b + g)

⇒ b : g = 1 : 4 

Number of boys = x and number of  girls = 4x 

Total number of boys and girls = x + 4x = 5x 

Now, total marks in Hindi

Marks of girls in Hindi = 8 × 4x = 32x 

Marks of boys in Hindi = 7 × x = 7x 

Average of marks in Hindi = (32x + 7x)/5x           (total marks = 32x + 7x)

⇒ 7.8 

∴ The average marks in Hindi will be 7.8.

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