If 37 frac{1}{2} % of a number is 45, then 87 | vedclass

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(C) Let the number be $x$.Given that $37 \frac{1}{2} \%$ of $x = 45$.Converting the percentage to a fraction: $37 \frac{1}{2} \% = \frac{75}{2} \% = \

Vedclass · Accepted Answer

$105$

Vedclass · Answer

(C) Let the number be $x$.Given that $37 \frac{1}{2} \%$ of $x = 45$.Converting the percentage to a fraction: $37 \frac{1}{2} \% = \frac{75}{2} \% = \frac{75}{200} = \frac{3}{8}$.So,$\frac{3}{8} x = 45$.Solving for $x$: $x = \frac{45 	imes 8}{3} = 15 	imes 8 = 120$.Now,we need to find $87 \frac{1}{2} \%$ of $120$.Converting the percentage to a fraction: $87 \frac{1}{2} \% = \frac{175}{2} \% = \frac{175}{200} = \frac{7}{8}$.Therefore,$\frac{7}{8} 	imes 120 = 7 	imes 15 = 105$.

If $37 \frac{1}{2} \%$ of a number is $45,$ then $87 \frac{1}{2} \%$ of the number will be:

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