Question

If the ratio of two quantity is 2:9 if antecedent is less by 6300 then consequent will be what?

Answer 1

Given ratio $=\frac{2}{9}=\frac{Antecedant}{Consequent}$
Now, Antecedant is less by 6300
Say, the function is $\frac{x}{y}$
$\frac{x}{y}=\frac{2}{9}\dots \dots \left(1\right)$
$\frac{x-6300}{y^{{}^{\prime }}}=?=\frac{2}{9}$ (Ratio will remain same)
$\Rightarrow (x-6300)9=2y^{{}^{\prime }}$
$\Rightarrow 9x-56750=2y^{{}^{\prime }}$
$\Rightarrow 9\frac{x}{y}-\frac{56700}{y}=\frac{2y^{{}^{\prime }}}{y}$
$\Rightarrow 2-\frac{56700}{y}=\frac{2y^{{}^{\prime }}}{y}$
$\Rightarrow 2=\frac{56700}{y}+\frac{2y^{{}^{\prime }}}{y}$
$\Rightarrow 2=\frac{1}{y}(56700+2y^{{}^{\prime }})$
$\Rightarrow y=28350+y^{{}^{\prime }}$
$\Rightarrow y^{{}^{\prime }}=y-28350$
$\Rightarrow$ The consequent will decrease by 28350, so that the ratio still remain $\frac{2}{9}$