The ratio of the number of boys and girls in a college is 7: 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio? |
A) 8 : 9
B) 17: 18
C) 21: 22
D) Cannot be determined
Correct Answer: C
Solution :
Originally, let the number of boys and girls in the college be 7x and 8x, respectively. Their increased number is (120% of 7x) and (110% of 8x). |
i.e. \[\left( \frac{120}{100}\times 7x \right)\] and \[\left( \frac{110}{100}\times 8x \right)\] |
i.e. \[\frac{42x}{5}\] and \[\frac{44x}{5}\] |
Required ratio \[=\,\,\frac{42x}{5}:\frac{44x}{5}=21:22\] |
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