Study the following table and answer the question below.

School name Total number of students enrolled Percentage of enrolled students who opted for Biology Ratio of male to female students who opted for Biology
A 900 30% 7 ∶ 8
B 400 38% 9 ∶ 10
C 1000 24% 5 ∶ 19
D 800 18% 5 ∶ 7

What is the ratio of the total number of male students to that of female students who opted for Biology in schools A and D together? 

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 18 Jul 2023 Shift 1)
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  1. 38 ∶ 31
  2. 21 ∶ 38
  3. 31 ∶ 28
  4. 31 ∶ 38

Answer (Detailed Solution Below)

Option 4 : 31 ∶ 38
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Detailed Solution

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Calculation:

Number of male students who opted biology in school A = (900 × 30% × 7)/15 = 126

Number of male students who opted biology in school D = (800 × 18% × 5)/12 = 60

Number of female students who opted biology in school A = (900 × 30% × 8)/15 = 144

Number of female students who opted biology in school D = (800 × 18% × 7)/12 = 84

Male students who opted for biology in schools A and D : Female students who opted for biology in schools A and D

⇒ (126 + 60) : (144 + 84)

⇒ 186 : 228 = 31 : 38

∴ The correct answer is 31 : 38.

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