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In a class of a school, there were 40 percent boys. If some of the students were transferred to a new section and 30 percent of the transferred students were boys, what was the ratio of the transfer rate for the boys to the transfer rate for the girls?
(A) 1 : 4
(B) 2 : 7
(C) 4 : 9
(D) 9 : 14
(E) 9 : 16
(A) 1 : 4
(B) 2 : 7
(C) 4 : 9
(D) 9 : 14
(E) 9 : 16
25 Sep 2018, 03:35
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Bunuel
Say there were 40 boys and 60 girls.
Say 10 students were transferred such that 3 boys and 7 girls were transferred.
Transfer rate of boys = 3/40
Transfer rate of girls = 7/60
Required Ratio = (3/40) / (7/60) = 9:14
General Discussion
24 Sep 2018, 08:34
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Bunuel
Boys % = 40 ==> Girls% =60
Transferred Boys % =30 ==>Transferred Girls % =70
Hence, Transferred Boys wrt total students % = 40 * 30 & Similarly , Transferred Girls wrt total students % = 60 * 70
Therefore , TB:TG = 40 * 30 : 60 * 70 = 2:7.........Answer B
