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Table shows the percentage of candidates qualifying a CET in six cities A to F in 2020 and 2021, with the male:female ratio. Total qualified = 3800 (2020) and 4600 (2021).

City2020 (%)2020 M:F2021 (%)2021 M:F
A138:5245:7
B2711:81512:11
C117:42315:8
D202:3178:9
E85:381:3
F2113:8135:8

The number of females qualified from City B in 2021 is approximately what percent more than the number of males qualified from City E in 2020?

A71.42
B73.68 ✓ Correct
C75.13
D77.56
Correct answer: (B) 73.68
Explanation

The increase is about 73.68 percent, so the answer is 73.68.

In 2021 City B has 15 percent of 4600, which is 690 qualified candidates, in the ratio 12 to 11.

So the females are 11 of 23 parts of 690, which is 330.

In 2020 City E has 8 percent of 3800, which is 304 qualified candidates, in the ratio 5 to 3.

So the males are 5 of 8 parts of 304, which is 190.

The females 330 exceed the males 190 by 140.

As a percentage of 190 this is 140 over 190 times 100, about 73.68 percent.

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