NIMCET 2016 — Mathematics PYQ

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Question

NIMCET 2016 — Mathematics PYQ

NIMCET | Mathematics | 2016

The average marks of the boys in class is 52 and that of girls is 42. The average marks of the boys and girls combined is 50. The percentage of boys in the class is

Choose the correct answer:

Explanation

Calculation:
Given the avg. marks of boys = 52 and that of girls = 42
Let the no. of boys be x and of girls be y

Sum of marks of boys = 52 x

Sum of marks of girls = 42 y

According to the question,
$\Rightarrow 52 x + 42 y = 50 (x + y)$
$\Rightarrow 52 x + 42 y = 50 x + 50 y$
$\Rightarrow 2 x = 8 y$
$∴ x = 4 y$

Total number of students in the class = x + y = 4y + y = 5y

% of boys = $\frac{No of boys}{Total No. of students} \times 100$

$= \frac{4 y}{5 y} \times 100$

$= 80%$

Choose the correct answer:

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