The ratio between male and female members in a club is 2 : 3. If the number of male members is increased by 200, the ratio becomes 5 : 6. How many female members are there in the club?

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Let the number of male members be 2x and female members be 3x.

According to the problem, when male members increase by 200, the ratio becomes 5:6.

So, (2x + 200) / 3x = 5 / 6

Cross-multiplying:
6(2x + 200) = 5 * 3x
12x + 1200 = 15x

Rearranging:
1200 = 15x - 12x
1200 = 3x
x = 400

Number of female members = 3x = 3 * 400 = 1200.

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