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Natalija [7]
3 years ago
5

If As income is 20% more than Bs income, how much percent is Bs income less than As income

Mathematics
1 answer:
vitfil [10]3 years ago
6 0
As\ is\ 120\%\ Bs\\\\120\%=1.2\to\frac{As}{Bs}=1.2\\\\\frac{As}{Bs}=\frac{12}{10}\to\frac{Bs}{As}=\frac{10}{12}\to\frac{Bs}{As}=\frac{5}{6}\\\\\frac{5}{6}\cdot100\%=\frac{500}{6}\%=83\frac{1}{3}\%\\\\100\%-83\frac{1}{3}\%=16\frac{2}{3}\%\\\\Answer:Bs\ income\ is\ 16\frac{2}{3}\%\ less\ than\ As\ income.
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Step-by-step explanation:

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Case: 1

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So, the cost of m rides  = m x ( Cost of 1 ride )  

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Case: 2

The cost of entry fee  = $10

The cost per ride = $0.45

So, the cost of m rides  = m x ( Cost of 1 ride )  

=  m x ($0.45 ) = 0.45 m

Cost of purchasing m tickets in second ride  = Entry Fee + Per ticket cost

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Now, equating (1) and (2), we get:

5 +0.65 m = 10 +0.45 m

or, 0.20 m = 5

or, m = 5/0.20  = 25

or, m = 25

Hence, for 25 tickets total cost of option one and option two to be the same.

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