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Question : Direction: The ratio of the number of girls to the number of boys in a town is 90%. If the total number of boys and girls in the town is 190, how many girls are in the town?

Option 1: 100

Option 2: 110

Option 3: 90

 

Option 4: 80


Team Careers360 4th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 90

 


Solution : Let the number of girls be x and the number of boys be y.

The ratio of the number of girls to the number of boys in a town is 90%.

\Rightarrow \frac{x}{y}=90%

\Rightarrow \frac{x}{y}=\frac{90}{100}

\Rightarrow \frac{x}{y}=0.9

x=0.9y

The total number of boys and girls in the town is 190.

x+y=190

Put the value of x in above equation.

0.9y+y=190

1.9y=190

y=\frac{190}{1.9}

y=100

By putting the value of y in x=0.9y

x=0.9\times y

x=0.9\times 100

x=90

Therefore, the total number of girls in the town is 90.

Hence, third option is correct.

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