Question

In an examination which has questions of 100 marks, Aamir scores 54 marks while Usha loses 34 marks in her paper. The ratio of the marks of Aamir to that of Usha is same as that of the marks obtained by Preeti and Kunal. If Preeti scored 72 marks, how much did Kunal score?

Answer 1

Marks scored by Aamir = 54

Marks scored by Usha = 100 - 34 = 66

The ratio of the marks of Aamir to Usha = 54 : 66 = 9 : 11

Marks scored by Preeti = 72

Let the marks scored by Kunal be $x$.

$\therefore 72:x=9:11$
$\Rightarrow \frac{72}{x}=\frac{9}{11}$
$\Rightarrow \frac{x}{72}=\frac{11}{9}$

$\Rightarrow x=\frac{72\times 11}{9}=8\times 11$

$\Rightarrow x=88$

$\therefore$ Marks obtained by Kunal is $88$.