Question

If eight people share equally in an inheritance, what percent of the inheritance belongs to three people? What percent belongs to them if two of the people are disinherited? By what percent does each person’s share of the inheritance increase?

Answer 1

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%

Further explanation

Let's learn about the basic formula about Profit and Loss

$\texttt{Profit = Selling Price - Cost Price}$

$\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}$

$\texttt{Loss = Cost Price - Selling Price}$

$\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}$

Let us tackle the problem !

If eight people share equally in an inheritance , then:

$\texttt{Percentage of the inheritance of each people} = 100\% \div 8$

$\texttt{Percentage of the inheritance of each people} = 12,5\%$

$\texttt{Percentage of the inheritance of 3 people} = 3 \times 12,5\%$

$\texttt{Percentage of the inheritance of 3 people} = 37,5\%$

If two of the people are disinherited , then:

$\texttt{Percentage of the inheritance of each people} = 100\% \div (8 - 2)$

$\texttt{Percentage of the inheritance of each people} = 100\% \div 6$

$\texttt{Percentage of the inheritance of each people} = \frac{50}{3}\%$

$\texttt{Percentage of the inheritance of 3 people} = 3 \times \frac{50}{3}\%$

$\texttt{Percentage of the inheritance of 3 people} = 50\%$

The percentage increase of each person’s share of the inheritance will be:

$\texttt{Percentage of Increase} = \frac{(50\% - 37,5\%)}{(37,5\%)} \times 100\%$

$\texttt{Percentage of Increase} = \frac{(12,5\%)}{(37,5\%)} \times 100\%$

$\texttt{Percentage of Increase} = \frac{1}{3} \times 100\%$

$\texttt{Percentage of Increase} = \frac{100}{3}\%$

$\texttt{Percentage of Increase} = 33\frac{1}{3}\%$

Learn more

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Answer details

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

Answer 2

3/8 = 37.5%
3/6 = 50%
1/6 = 16.67%