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Question

In an office, the ratio of the number of males to number of females is 11:8. If 3 males joined the class and 6 females left the class, then the ratio of number of males to that of females in an office would become 5:2. Find the actual number of females in the class.

A 18 Correct Answer Incorrect Answer
B 20 Correct Answer Incorrect Answer
C 24 Correct Answer Incorrect Answer
D 16 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

Let initially the number of males and females in an office be 11x and 8x respectively. According to the question, => (11x + 3) : (8x – 6) = 5:2 => 22x + 6 = 40x – 30 => x = 2 Therefore, number of females in an office = 8 x 2 = 16

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