If 60% of the candidates in an examination are male and the number of female candidates is 812, how…
Since 60% of the candidates are male, the percentage of female candidates is 100% − 60% = 40%. Let the total number of candidates be N. Then 40% of N = 812, so N = (812 ×…
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If 60% of the candidates in an examination are male and the number of female candidates is 812, how many male candidates are there in the examination?
Answer and explanation
Correct answer B
Since 60% of the candidates are male, the percentage of female candidates is 100% − 60% = 40%. Let the total number of candidates be N. Then 40% of N = 812, so N = (812 × 100) ÷ 40 = 2030. The number of male candidates is 60% of 2030 = (60 ÷ 100) × 2030 = 1218 (or directly (60% ÷ 40%) × 812 = 1.5 × 812 = 1218).
Option feedback
Option A
Incorrect. 1128 does not equal 1.5 × 812 = 1218.
Option B
Correct. Since 60% of the candidates are male, the remaining 40% are female. Given 40% of total candidates = 812, total candidates = 812 ÷ 0.40 = 2030, and 60% male candidates = 0.60 × 2030 = 1218.
Option C
Incorrect. The male-to-female ratio is 60 to 40, so 812 female candidates correspond to 812 × 60 ÷ 40 = 1218 male candidates.
Option D
Incorrect. 1281 is a digit transposition of 1218 and does not equal (60 / 40) × 812 = 1218.
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Arunachal Pradesh Judicial Services