Question

50% of a% of b is 75% of b% of c . how much is c less than a​

Answer 1

Answer:

a/3

Step-by-step explanation:

$=> 50 \ \% \ of \ a \% \ of \ b=(\frac{50}{100} )\times(\frac{a}{100}) \times b = \frac{ab}{200} \\\\=> 75\% \ of \ b\% \ of \ c = (\frac{75}{100} )\times(\frac{b}{100}) \times c=\frac{3bc}{400} \\\\ \rightarrow \text{given both are equal.} \\\\ \frac{ab}{200} =\frac{3bc}{400} \\\\\frac{a}{200}=\frac{3c}{400}\\\\a=\frac{3c}{2} \\\\ c=\frac{2a}{3} \\\\ \boxed{ \bf a=1.5c} \\\\ \text{how much is c less than a?} \\ => a-c=a-\frac{2a}{3} = \frac{a}{3} \\\\ \boxed{\textbf {c is less than a by a/3}}$