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Some candidates were selected by a company after the hiring process. The ratio of selected to unselected was 4 ∶ 1. If 70 less had applied and 30 less selected, the ratio of selected to unselected would have been 6 ∶ 1. How many candidates were selected?

Some candidates were selected by a company after the hiring process. The ratio of selected to unselected was 4 ∶ 1. If 70 less had applied and 30 less selected, the ratio of selected to unselected would have been 6 ∶ 1. How many candidates were selected? Correct Answer 420

Given:

The ratio of selected to unselected candidates = 4 ∶ 1

If 70 less applied and 30 less selected, then

The ratio of selected to unselected candidates = 6 ∶ 1

Calculation:

Let the ratio of number of selected to unselected candidates be 4x and x respectively

According to the second condition, we have

Total candidates = (4x + x) - 70 = 5x - 70

Selected candidates = 4x - 30

Unselected candidates = (5x - 70) - (4x - 30)

⇒ (x - 40)

According to the question

(4x - 30) ∶ (x - 40) = 6 ∶ 1

⇒ 4x - 30 = 6x - 240

⇒ 2x = 210

⇒ x = 105

Number of candidates selected = 4x = 4 × 105

⇒ 420

∴ The number of candidates selected are 420.

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