Question

lisa's salary is 37.5% of paul's salary which is 40% of peter's salary. what percentage of peter's salary is lisa's salary?

Answer 1

Let Peter's salary be x

Paul's salary = 40% of x = 0.4x

Lisa's salary = 37.5% of 0.4x = 0.375( 0.4x) = 0.15x

Ratio of Peter's salary to Lisa's salary = x : 0.15x

Simplify (Multiply by 100):

Ratio of Peter's salary to Lisa's salary = 100 : 15

Simplify (Divide by 5):

Ratio of Peter's salary to Lisa's salary = 20 : 3

Answer: The ratio is 20 : 3

Answer 2

Hello!

Let Peter's salary be x

• $\bf{Paul's\: salary}$ = 40% of x = $\dfrac{40}{100} \times \sf x = \bf{0.04x}$
• $\bf{Lisa's \:salary}$ = 37.5% of 0.04x = $\dfrac{37.5}{100} \times \sf 0.04x = \bf{0.15x}$

Then,

$\underline{\sf Ratio \:of\:Peter's\:salary\: to\: Lisa's \:salary}$ :

$\sf x:0.15.x = \dfrac{\sf \cancel{x}}{\sf 0.15\cancel{x}} \\ \\ \implies \dfrac{1}{0.15} \times \dfrac{100}{100} \\ \\ \implies \dfrac{100}{15} \implies \boxed{\red{\bf{\dfrac{20}{3}}}}$

Hence,
The required ratio is $\bf{20:3}$

Cheers!