1. In an army selection process, the ratio of selected to unselected was 6:1. If 90 less had applied and 30 less selected, the ratio of selected to unselected would have been 8:1. How many candidates had applied for the process?
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By: anil on 05 May 2019 02.13 am
Let $$7x$$ candidates applied for the process. Candidates selected = $$6x$$ and candidates not selected = $$x$$ If candidates applied = $$7x - 90$$ Candidates selected = $$6x - 30$$ => Candidates not selected = $$(7x - 90) - (6x - 30) = x - 60$$ According to ques, => $$frac{6x - 30}{x - 60} = frac{8}{1}$$ => $$6x - 30 = 8x - 480$$ => $$2x = 480 - 30 = 450$$ => $$x = frac{450}{2} = 225$$ $$ herefore$$ Number of candidates who applied for the process = $$7 imes 225 = 1575$$
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