Option 2 : 1/5

__Calculation:__

Let the total candidates registered at the vaccination center on Sunday be **'x****';**

Given 60% of registered candidates are men ⇒ **Total men registered = 0.6x;**

**⇒ Total women registered = 0.4x;**

Now, 80% of the men are aged 45 or 45+

⇒ **Total men with age 45 or 45+** = 80% of 0.6x = **0.48x;**

Given 80% of the registered candidates are 45 or 45+

⇒ **Total registered candidates with age 45 or 45+ = 0.8x;**

Now,

The total women with age 45 or 45+ = Total registered candidates with age 45 or 45+ - Total men with age 45 or 45+

⇒ total women with age 45 or 45+ = 0.8x - 0.48x = **0.32x;**

Now,

The total women with age less than 45 = Total women - Total women with age 45 or 45+

⇒ **total women with age less than 45** = 0.4x - 0.32x = **0.08x;**

Now,

Fraction of woman registered aged less than 45 = \(\rm \dfrac {Total \; women \; with \; age \; < \; 45}{Total \; registered \; women}\)

⇒ **Fraction of woman registered aged less than 45 **= 0.08x/0.4x = **1/5;**