The mean of marks of 100 students in a class was 72. The mean of marks of boys was 75, while total number of boys were 70. The mean of marks of girls in the class was ?

65

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35

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68

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86

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Solution

The correct option is C $65$
$\Rightarrow$ The mean of marks is statistics of $100$ students $= 72$

$∴$ Total score of class $= 100 \times 72 = 7200$

$\Rightarrow$ The mean marks of $70$ boys $= 75$
$∴$ Total score of boys $= 75 \times 70 = 5250$

$\Rightarrow$ Total score of $30$ remaining girls $= 7200 - 5250 = 1950$

$\Rightarrow$ The mean marks of girls in class $= \frac{1950}{30} = 65$

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Similar questions

In a class of 100 students, there are 70 boys whose average marks in Mathematics are 75. If the average marks of the complete class is 72, then average marks of girls is

Q. In a class of

100

students there are

70

boys whose average marks in a subject is

75

. If the average mark of the complete class is

72

, then the average marks of the girls is

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The mean of marks of 100 students in a class was 72. The mean of marks of boys was 75, while total number of boys were 70. The mean of marks of girls in the class was ?

The correct option is C 65⇒ The mean of marks is statistics of 100 students =72∴ Total score of class =100×72=7200⇒ The mean marks of 70 boys =75∴ Total score of boys =75×70=5250⇒ Total score of 30 remaining girls =7200−5250=1950⇒ The mean marks of girls in class =195030=65