Question

If 35% of A's income is equal to 25% of
B's income then the ratio of A's income to B's income is

Answer 1

$\bold{given : } \\ \\ 35 \: \% \: of \: income \: of \: a \: is \: equal \: to \\ \: 25 \: \% \: of \: income \: of \: b \\ \\ \\ \\ \bold{let : } \\ \\ the \: income \: of \: a : \\ \\ \bold{100x} \\ \\ the \: income \: of \: b : \\ \\ \bold{100y} \\ \\ \\ \\ 35 \: \% \: of \: income \: of \: a : \\ \\ \frac{35}{100} \times 100x \\ \\ 35x \\ \\ \\ \\ 25 \: \% \: of \: income \: of \: b : \\ \\ \frac{25}{100} \times 100y \\ \\ 25y \\ \\ \\ \\ \bold{according \: to \: condition : }$
$\\ \\35x = 25y \\ \\ \frac{x}{y} = \frac{25}{35} \\ \\ \\ \\\bold{ x = 25} \\ \\ \bold{y = 35}\\ \\ \\ \\ \bold{to \: find : } \\ \\ ratio \: of \: their \: income : \\ \\ \\ \\ \frac{100x}{100y} = \frac{100 \times 25}{100 \times 35} \\ \\ \frac{100x}{100y} = \frac{25}{35} \\ \\ \frac{100x}{100y} = \frac{5}{7} \\ \\ \\ \\ \bold{ratio \: of \: income \: of \: a \: to \: b : } \\ \\ \bold{\frac{5}{7} }$

Answer 2

Answer:

5:7

Step-by-step explanation:

A 35% = B 25%

AB=57

A : B = 5 : 7