37,5% of the inheritance belongs to three people
50% belongs to them if two of the people are disinherited
Each person’s share of the inheritance increase by 33¹/₃%
Let's learn about the basic formula about Profit and Loss
[tex]\texttt{Profit = Selling Price - Cost Price}[/tex]
[tex]\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}[/tex]
[tex]\texttt{Loss = Cost Price - Selling Price}[/tex]
[tex]\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}[/tex]
Let us tackle the problem !
If eight people share equally in an inheritance , then:
[tex]\texttt{Percentage of the inheritance of each people} = 100\% \div 8[/tex]
[tex]\texttt{Percentage of the inheritance of each people} = 12,5\%[/tex]
[tex]\texttt{Percentage of the inheritance of 3 people} = 3 \times 12,5\%[/tex]
[tex]\texttt{Percentage of the inheritance of 3 people} = 37,5\%[/tex]
If two of the people are disinherited , then:
[tex]\texttt{Percentage of the inheritance of each people} = 100\% \div (8 - 2)[/tex]
[tex]\texttt{Percentage of the inheritance of each people} = 100\% \div 6[/tex]
[tex]\texttt{Percentage of the inheritance of each people} = \frac{50}{3}\%[/tex]
[tex]\texttt{Percentage of the inheritance of 3 people} = 3 \times \frac{50}{3}\%[/tex]
[tex]\texttt{Percentage of the inheritance of 3 people} = 50\%[/tex]
The percentage increase of each person’s share of the inheritance will be:
[tex]\texttt{Percentage of Increase} = \frac{(50\% - 37,5\%)}{(37,5\%)} \times 100\%[/tex]
[tex]\texttt{Percentage of Increase} = \frac{(12,5\%)}{(37,5\%)} \times 100\%[/tex]
[tex]\texttt{Percentage of Increase} = \frac{1}{3} \times 100\%[/tex]
[tex]\texttt{Percentage of Increase} = \frac{100}{3}\%[/tex]
[tex]\texttt{Percentage of Increase} = 33\frac{1}{3}\%[/tex]
Grade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces
