Exam 3: Ratio, Proportion, and Percent

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Four beneficiaries are to divide an estate of $500 000 in the ratio Four beneficiaries are to divide an estate of $500 000 in the ratio   . How much should each receive? . How much should each receive?

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Ratio: Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 : Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 : Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 : Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 = Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 : Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 : Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 : Ratio:   :   :   :   =   :   :   :   = 8 : 6 : 3 : 1 Let the constant part be x ∴ 8x + 6x + 3x + 1x = 500000 18x = 500000 x = 27777.77778 Distribution of estate: First beneficiary: 8 ∗ 27777.77778 = $22222.22 Second beneficiary: 6 ∗ 27777.77778 = 166666.67 Third beneficiary 3 ∗27777.77778 = 83333.33 Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78 = 8 : 6 : 3 : 1
Let the constant part be x
∴ 8x + 6x + 3x + 1x = 500000
18x = 500000
x = 27777.77778
Distribution of estate:
First beneficiary: 8 ∗ 27777.77778 = $22222.22
Second beneficiary: 6 ∗ 27777.77778 = 166666.67
Third beneficiary 3 ∗27777.77778 = 83333.33
Fourth beneficiary: 1 ∗ 27777.77778 = 27777.78

Asia started working as a professional engineer in 2002 earning $64 500 per annum. In 2013, she is earning $88 100 per annum. The CPI in 2013 is 131 based on year 2002. What is the actual increase in Asia's pay in terms of 2002 dollars?

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A

What amount is 16 2/3% less than $69?

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x = 69 - 16 x = 69 - 16   % of 69 = 69 -   ∗ 69 = 69 - 11.5 = $57.50 % of 69
= 69 - x = 69 - 16   % of 69 = 69 -   ∗ 69 = 69 - 11.5 = $57.50 ∗ 69
= 69 - 11.5 = $57.50

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After a reduction of 66 After a reduction of 66   % of the marked price, an article was sold for $150.00. What was the marked price? % of the marked price, an article was sold for $150.00. What was the marked price?

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Asif is travelling to New York from Toronto to purchase a laptop that is only available in America. The laptop is being sold for $799 in US dollars. Calculate the price of the laptop in Canadian dollars if one American dollar is worth 1.29 Canadian dollars.

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