Question

The population of London is 12,60,000. Of this, 2/3rd are men and they are to marry women from
London only. If 40% of the men are married, find the percentage of women who are unmarried.
W​

Answer 1

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GIVEN THAT:

$➸$ The population of London is 12,60,000.

$➸$ 2/3rd of the population are men and they are to marry women from London only.

$➸$ 40% of the men are married.

SOLUTIONS;

$➸$ 2/3rd of the population are men

So total number of men

$&#10230 \: \: \frac{2}{\cancel3} \times \cancel{1260000} \\ &#10230 \: \: 2 \times 420000 \: \: \: \: \\ &#10230 \: \: 840000 \: \: \: \: \: \: \: \: \: \: \:$

$➸$ so number of women

$⟶ \: \: 1260000 - 840000 \\ &#10230 \: \: 420000 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$➸$ since 40% of men are married

$➸$ so total number of married men

$&#10230 \: \: \frac{40}{\cancel{100}} \times 8400\cancel{00} \\ \\ &#10230 \: \: 40 \times 8400 \: \: \: \: \: \: \: \: \\ &#10230 \: \: 336000 \: \: \: \: \: \: \: \: \: \: \: \:$

$➸$ so the number of unmarried women

$&#10230 \: \: 420000 - 336000 \\ \\ &#10230 \: \: 84000 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$➸$ Now the percentage of women unmarried women

$&#10230 \: \: \frac{84000}{4200\cancel{00}} \times \cancel{100} \\ \\ &#10230 \: \: \frac{\cancel{84000}}{\cancel{4200}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ &#10230 \: \: 20 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

$➸$ so the percentage of women unmarried women = 20%