Bleaching powder and bleach solution are produced on a large scale and used in several household products. The effectiveness of bleach solution is often measured by iodometry.

$25$ mL of household solution was mixed with $30$ mL of $0.50$ M KI and $10$ mL of $4$ N acetic acid. In the titration of the liberated iodine, $48$ mL of $0.25$ N $\text{Na}_2\text{S}_2\text{O}_3$ was used to reach the end point. The molarity of the household bleach solution is