Table shows the number of persons in six cities A to F in 2020, with the male:female and literate:illiterate ratios.

City	Persons	M:F	Literate:Illiterate
A	500000	3:2	1:4
B	360000	4:6	4:1
C	280000	3:4	2:5
D	450000	5:4	3:2
E	500000	2:3	2:3
F	300000	2:1	7:3

If the number of persons increases by 10 percent in City B and by 12 percent in City A in 2021 with respect to 2020, then the ratio of the number of persons in City B to that in City A in 2021 will be

A2:3

B97:120

C2:5

D99:140 ✓ Correct

Correct answer: (D) 99:140

Explanation

The ratio is 99 to 140, so the answer is 99 to 140.

City B has 3,60,000 persons in 2020, and a 10 percent rise gives 3,96,000 in 2021.

City A has 5,00,000 persons in 2020, and a 12 percent rise gives 5,60,000 in 2021.

So the ratio in 2021 is 3,96,000 to 5,60,000.

Dividing both by 4,000 gives 99 to 140.

This ratio does not simplify further.

So the ratio of City B to City A in 2021 is 99 to 140.

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