The ratio between the number of males and females in a college is 24∶25. If the number of males is increased by 30% and the number of females is increased by 40%, then what will be the new ratio of males and females in the college?

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OSSC CGL 2022 Official Paper (Held on: 11th Oct Shift 2)
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  1. 156∶175
  2. 146∶175
  3. 175∶156
  4. 175∶146

Answer (Detailed Solution Below)

Option 1 : 156∶175
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Detailed Solution

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Given:

The ratio between the number of males and females in a college = 24 ∶ 25

The number of males is increased = 30%

The number of females is increased = 40%

Calculation:

Let the number of males be 24x

Then the number of females = 25x

The increased number of males = 24x × 130% = 24x × 1.3 = 31.2x

The increased number of females = 25x × 140% = 25x × 1.4 = 35x

The new ratio of males and females in the college = 31.2x : 35x

⇒ 31.2 × 5 : 35 × 5

⇒ 156 ∶ 175

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