The ratio of the number of ladies to gents in a club is 3 : 2. Recently, 300 ladies joined the club and the ratio became 5 : 2. The number of lady members now in the club is:

Show answer & explanation

Answer: (D) 750

Explanation

Let ladies = 3k and gents = 2k. Then (3k + 300) : 2k = 5 : 2, so 6k + 600 = 10k and k = 150. Ladies now = 450 + 300 = 750.