Question

What is the Number of candidates who had applied if the ratio of selected to unselected was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5?

A) 195 B) 205 C) 185 D) 175

Answer 1

Answer:

If the ratio of selected to unselected candidates was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5.

Answer 2

Answer:

Option A ) 195

Step-by-step explanation:

Let the number of selected candidates be 14x, then the number of unselected candidates will be 25x (as the ratio is given 14:25).

Therefore total number of applied candidates is 14x + 25x

= 39x

According to question,

If 35 less applied, then resulting number of candidates applied is (39x - 35)

And 10 less candidates got selected, then resulting no of candidates selected is (14x - 10).

Therefore, the resulting no of unselected candidates is (applied - selected)

= (39x - 35) - (14x - 10)

= 25x - 25

Now, the given ratio of resulting selected to the resulting unselected candidates is 2:5.

That is,

(14x - 10)/(25x - 25) = 3/5

Or, x = 5

So,

the number of candidates who had applied = 39x

= 39 * 5

= 195

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