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12 Dec 2022, 10:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
75% (02:00) correct
25%
(01:41)
wrong
based on 65
sessions
History
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Not Attempted Yet
The number of students in a class is 25, of which 40% are girls. How many more girls must be added in the class such that the final percentage of girls, in the class, is double the current percentage of girls?
A. 5
B. 10
C. 15
D. 20
E. 50
A. 5
B. 10
C. 15
D. 20
E. 50
12 Dec 2022, 10:41
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Currently there are 40*25/100= 10 girls in the class.
Suppose 'x'girls are added to the pool of 25 students.
(10+x)/(25+x) = 80/100
1000+100x=2000+80x
20x=1000
x=1000/20=50
Option E is the answer
Posted from my mobile device
Suppose 'x'girls are added to the pool of 25 students.
(10+x)/(25+x) = 80/100
1000+100x=2000+80x
20x=1000
x=1000/20=50
Option E is the answer
Posted from my mobile device
12 Dec 2022, 10:55
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Bunuel
Number of boys = 60% of 25 = 15 boys
In the new ratio we need 20% boys and 80% girls. As we are not adding any boys, these 15 boys will represent the 20% of the students.
20% of class is represented by 15 students
100% of class is represented by \(\frac{15}{20} * 100 = 75\) students
As we already have 25 students, we need to add 50 more students (and all of these must be girls).
Option E
