Question

Oif 40% of x=y,then y% of 30 is the same as what percent of x

Answer 1

Answer:

12

Step-by-step explanation:

let x be 100

therefore y = 40*100/100=40

y% of 30=40/100 * 30 = 12

therefore 12% of x(100) = 12

Answer 2

Answer:

$40\% \times x = y\% \times 30 \\ \frac{_{2 \: \: } \cancel{40}}{ _{5 \: \: } \cancel{100}} \times x = \frac{y}{10 \cancel0} \times 3 \cancel 0 \\ \frac{2}{5} x = \frac{y}{10} \times 3 \\ \frac{2x}{5} = \frac{3y}{10} \\ 2x \times 10 = 3y \times 5 \\ 20x = 15y \\ \frac{x}{y} = \frac{ \cancel{ 15} _{ \: \: 3}}{ \cancel{ 20}_{ \: \: 4} } \\ \boxed{ \frac{x}{y} = \underline{ \underline{ \frac{3}{4} }}} \\ \\ Here, \\ x = 3, \: \: \: y = 4 \\ \\ 40\% \times x = y\% \times 30 \\ \frac{2}{5} x = \frac{y}{10} \times 3 \\ \frac{2}{5} \times 3 = \frac{_{2 \: \: } \cancel{ 4}}{_{5 \: \: } \cancel{10} \cancel 0} \times 3 \cancel 0 \\ \boxed{\underline{ \underline{ \frac{6}{5} = \frac{6}{5} }}}$