The table given below shows the number of male teacher and female teachers in 5 schools.

Schools  Male teachers Female teachers
L 160  180 
M 180  170 
N 170  120 
P 150  110 
Q 130  130 


Which of the following statement is correct?

I. The number of male teachers in school L is 135.44 percent of the number of female teachers in school P.

II. The ratio of the number of female teachers in M and N together to the number of male teachers in N and P together is 29 ∶ 32

This question was previously asked in
SSC CHSL Tier-I Exam 2022 Official Paper (Held On: 10 March, 2023 Shift 2)
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  1. Only II
  2. Neither I nor II
  3. Both I and II
  4. Only I

Answer (Detailed Solution Below)

Option 1 : Only II
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SSC CHSL Exam 2023 Tier-I Official Paper (Held On: 02 Aug 2023 Shift 1)
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Detailed Solution

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Calculation:

I. The number of male teachers in school L is 135.44 percent of the number of female teachers in school P.

Number of male teachers in school L = 160

Number of female teachers in school P = 110

(160/110) x 100% ≈ 145.45%

Therefore, the statement I is incorrect. The correct percentage is 145.45% and not 135.44%.

II. The ratio of the number of female teachers in M and N together to the number of male teachers in N and P together is 29 ∶ 32.

Number of female teachers in schools M and N together = 170 + 120 = 290

Number of male teachers in schools N and P together = 170 + 150 = 320

The ratio of the number of female teachers in M and N together to the number of male teachers in N and P together = 290 ∶ 320

We can simplify this ratio by dividing both numbers by 10.

29 ∶ 32

Therefore, statement II is correct.

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