If the ratio of expenditures of Company A in 2019 and 2023 is 4 : 3, then the income of Company A in 2019 is _________% more than the income of Company A in 2023.
- AOption (a)
\(\frac{70}{9}%\)
- BOption (b)
\(\frac{80}{9}%\)
- COption (c)
\(\frac{40}{9}%\)
- DOption (d)
\(\frac{100}{9}%\)
View answer & explanationHide answer & explanation
Correct answer
\(\frac{100}{9}%\)
Why this answer is correct
Let the expenditures of Company A in 2019 and 2023 be 4x and 3x respectively.
And Incomes in 2019 and 2023 be a and b respectively.
\(\frac{a-4x}{4x}=0.25\)
Solving this, a = 5x.
similarly,
\(\frac{b-3x}{3x}=0.5\)
Solving this, b = 4.5x.
Now, \(\frac{5x-4.5x}{4.5x}\times100= \frac{100}{9}\) %