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The ratio of men and women in shift I workers is 1 : 3 and ratio between the women and men in shift II workers is 2 : 3. When both shift workers are present then ratio between the men and women is 23 : 27. Find the ratio between the men of shift II and shift I.

The ratio of men and women in shift I workers is 1 : 3 and ratio between the women and men in shift II workers is 2 : 3. When both shift workers are present then ratio between the men and women is 23 : 27. Find the ratio between the men of shift II and shift I. Correct Answer 18 : 5

Calculation:

Let number of men and women workers of shift I be a and 3a respectively.

Let number of men and women workers of shift II be 3b and 2b respectively.

⇒ (a + 3b)/(3a + 2b) = 23 : 27

⇒ 27a + 81b = 69a + 46b

⇒ 42a = 35b

⇒ 6a = 5b

⇒ a/b = 5/6

Ratio of men of shift II and shift I = 3b : a

= 3 × 6 : 5 = 18 : 5

∴ Ratio of men of shift II and shift I = 18 : 5.

Important Points

Read the question properly and ratio in which two group mixed to form third group.

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