At Bedok MRT station, there were 420 commuters on a MRT train. There were 16% more children than the men and 36% fewer women than men on the train. At the next station, 46 commuters alighted from the train and 135 commuters boarded the train. The number of men in the train increased by 50% and the number of children decreased by 1/3. What was the percentage increase in the number of women? [5 marks][Answer given: 75%]
M --> 100%
C --> 100% + 16% = 116%
W --> 100% - 36% = 64%
100% + 116% + 64% = 280%
280% --> 420
1% --> 420/280 = 1.5
420 - 46 + 135 = 509
150% --> 150 x 1.5 = 225 men
2/3 x 116 x 1.5 = 116 children
509 - 225 - 116 = 168 women
64% --> 64 x 1.5 = 96 women
168 - 96 = 72
72/96 x 100% = 75% increase
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