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Class 10 > Learn Mathematics > The ratio of the number of boys and girls in a college...
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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?

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Let the number of boys = 7k number of girls = 8k Due to increase in percentage, number of boys = 7K*120/100 number of girls = 8K*110/100 New ratio = { 7K*120/100 } : { 8K*110/100 } Or 7:8 can also be written as 70:80 120/100*70 = 84 110/100*80 = 88 so,new ratio= 84 : 88 or 42 : 44 or 21 : 22 Or...
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Let the number of boys = 7k number of girls = 8k Due to increase in percentage, number of boys = 7K*120/100 number of girls = 8K*110/100 New ratio = { 7K*120/100 } : { 8K*110/100 } Or 7:8 can also be written as 70:80 120/100*70 = 84 110/100*80 = 88 so,new ratio= 84 : 88 or 42 : 44 or 21 : 22 Or (7x+0.2*7x)/(8x+0.1*8x)=21:22. read less
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Suppose the boys are 7x and girls are 8x. Now 20% of 7x is 1.4x so total is 8.4x and 10 % of 8x is 0.8.So now new number is 8.8x. 8.4x/8.8x=21/22. (Ans)
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