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How many job applicants had applied if the ratio of selected to unselected was 19 : 17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1 : 1.

How many job applicants had applied if the ratio of selected to unselected was 19 : 17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1 : 1. Correct Answer 7200

Ratio of selected to unselected applicants = 19 ∶ 17

Let’s take selected candidates be 19x, then unselected candidates be 17x, so total candidates is 36x

According to given conditions,

No. of job applicants = 36x - 1200 and selected candidates = 19x - 800,

⇒ Selected candidates/unselected candidates = (19x - 800)/(36x - 1200 - 19x + 800) = 1/1

⇒ 19x - 800 = 17x - 400

⇒ 2x = 400

⇒ x = 200

∴ Total number of job applicants = 200 × 36 = 7200

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