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GRE - Quantitative Reasoning - Percentage

If during a one-day period the Q train arrives at the station 30% less frequently than the B train, and the B train arrives 10% less frequently than the F train

If during a one-day period the Q train arrives at the station 30% less frequently than the B train, and the B train arrives 10% less frequently than the F train, then the Q train’s frequency is what percent of the F train’s frequency?

A. 27
B. 40
C. 60
D. 63
E. 90

Assume that frequency of train F is x

frequency of B = x - 10% of x = 0.9x

frequency of Q = 0.9x - 30% of 0.9x = 0.63x

required percentage = 0.63x/x * 100 = 63%