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The ratio of number of males and females workers in a factory was 2 : 5 with total number of workers as 1400. If the ratio of females to males changed to 5 : 4 when 100 more females and a few more male workers joined the company, then what is the number of males who joined?1). 8042). 4083). 8404). 480 |
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Answer» LET the number of male and female WORKERS be 2x and 5x ⇒ 2x + 5x = 1400 ⇒ 7X = 1400, x = 200 Thus, number of female workers = 5x = 1000 ⇒ Number of male workers = 2x = 400 ⇒ Now the ratio of female to male changes to 5 : 4 when 100 more FEMALES and a few more male workers joined the company. Let the number of male workers who joined be x. ⇒ Then, (1000 + 100)/ (400 + x) = 5 : 4 ⇒ 1100/ (400 + x) = 5 : 4 ⇒ 4400 = 2000 + 5x ⇒ 5x = 2400 ∴ x = 480 |
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