The ratio of men to women is 3 ∶ 4 and the ratio of women to children is 7 ∶ 5. If men increased 25% , women increased in the ratio 3 ∶ 4 and the children increased 20%. What is the ratio of men, women and children after increased?

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  1. 1775 ∶ 2399 ∶ 1471
  2. 2579 ∶ 3240 ∶ 1540
  3. 1975 ∶ 2241 ∶ 1749
  4. 1575 ∶ 2240 ∶ 1440

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Option 4 : 1575 ∶ 2240 ∶ 1440

Ratio of men to women = 3 ∶ 4     ---- (1)

Ratio of women to children = 7 ∶ 5      ---- (2)

Multiply by 7 in equation (1) and multiply by 4 in equation (2)

Ratio of men, women and children = 21 ∶ 28 ∶ 20

Suppose the ratio of men, women and children = 21x ∶ 28x ∶ 20x

New ratio after increased = 21x × ∶ 28x × ∶ 20x × = 21x × ∶ 28x × ∶ 20x × = 1575 ∶ 2240 ∶ 1440
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