• # question_answer Two numbers A and B are such that the sum of 5% of A and 4% of B is two- third of the sum of 6% of A and 8% of B. Find the ratio of A : B A)  2 : 3                            B)  1 : 1          C)  3 : 4                            D)  4 : 3

(d):5% of A+4% of B $=\frac{5A}{100}+\frac{8B}{100}$ 6 % of A+8% of B $=\frac{6A}{100}+\frac{8B}{100}$ Now $\frac{5A+4B}{\cancel{100}}=\frac{2}{3}\left( \frac{6A+8B}{\cancel{100}} \right)$ $\Rightarrow 3\left( 5A+4B \right)=2\left( 6A+8B \right)$ $\Rightarrow 15A+12B=12A+16B$ $\Rightarrow 3A=4B\Rightarrow \frac{A}{B}=4/3$.