Question

The ratio of the maximum possible score in the written test to the maximum possible score in the personal interview is x : 1. Find the value of 'x'
___

Answer 1

We are given all the percentage scores of Bharat, with which we can use to find the maximum possible scores in the written test, GD and PI.
Let the maximum possible score in the written test be 'x'and the personal interview and GD be 'y'each.
$\therefore$x+ 2y= 500 ... (i)

Now, Bharat's percentage score in the written test is given by,

$\frac{40+54+70+80}{4}$ = 61%
$\therefore$ $\frac{61x}{100}$+$\frac{76y}{100}$+$\frac{83y}{100}$ = 68.4 $\times$ $\frac{500}{100}$
$\therefore$ 61x + 159y = 34200 ........(ii)
Multiplying (i) by 61 and subtracting from (ii), we get,
37y = 3700
$\therefore$y = 100
$\therefore$x = 300
$\therefore$x:y = 3:1