The ratio of the number of boys to that of girls in a village is 5 : 3. If 40% of the boys and 60% of the girls appeared in an examination, then the ratio of the number of boys and girls who appeared in the examination to the number who did not appear in the same examination, is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 19 ∶ 21.
Ratio of boys : girls = 5 : 3
40% of boys and 60% of girls appeared in the examination
Let the total number of boys = 5x
Let the total number of girls = 3x
Boys appeared = 40% of 5x = 40/100 × 5x = 2x
Girls appeared = 60% of 3x = 60/100 × 3x = 1.8x
Total appeared = 2x + 1.8x = 3.8x
Boys not appeared = 60% of 5x = 60/100 × 5x = 3x
Girls not appeared = 40% of 3x = 40/100 × 3x = 1.2x
Total not appeared = 3x + 1.2x = 4.2x
Required ratio = Appeared : Not appeared = 3.8x : 4.2x = 3.8/4.2 = 38/42 = 19 : 21