The ratio of the number of boys to the number of girls in a school is 6 5 If 20 of boys and 45 of gi...........

Quantitative Aptitude ( CCS) Ratio, Proportion

The ratio of the number of boys to the number of girls in a school is 6 : 5. If 20% of boys and 45% of girls come by bus to school, what percentage of students opt transport other than bus to come to school?

68 9/11%

68 7/11%

72 7/11%

73%

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Explanation:

If 20% of boys and 45% of girls come by bus, then 80% of boys and 55% of girls opt transport other than bus.
Let total number of students in school = x
So boys who opt other transport are (80/100) * 6/(6+5) * x = 24x/55
And girls who opt other transport are (55/100) * 5/(6+5) * x = x/4
So total students who opt other transport = (24x/55) + (x/4) = 151x/220
So required % = [(151x/220)/x] * 100 = 755/11 %= 68 7/11