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Income of Rahim is $12,060.00 per month and that of Ami is ¢191,520.00 per annum. If the
monthly expenditure of each of them is ¢10,960.00 per month find the ratio of their savings.
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Respuesta :

MrRoyal

Answer:

[tex]R: A = 18283 : 56425[/tex] --- Actual

[tex]R: A = 1 : 3[/tex] --- Estimate

Explanation:

Given

Let

[tex]R \to[/tex] Rahim's savings

[tex]A \to[/tex] Ami's savings

Their income is:

[tex]Rahim = \$12060.00[/tex]

[tex]Ami = c191520.00[/tex]

[tex]Expenditure = c10960.00[/tex]

Required

Ratio of their monthly savings

First, convert Rahim's income from USD to Ghana Cedis (¢)

[tex]Rahim = \$12060.00[/tex]

Multiply by 5.76

[tex]Rahim = c12060.00 * 5.76[/tex]

[tex]Rahim = c69465.60[/tex]

Subtract their expenditure from the income, to get their monthly savings:

[tex]R = Rahim - Expenditure[/tex]

[tex]R = c69465.60 - c10960.00[/tex]

[tex]R = c58505.60[/tex]

[tex]A = Ami- Expenditure[/tex]

[tex]A = c191520.00- c10960.00[/tex]

[tex]A = c180560.00[/tex]

The ratio of their savings is:

[tex]R : A[/tex]

[tex]R : A = c58505.60 : c180560.00[/tex]

Remove units and multiply by 10

[tex]R : A = 585056.00 : 1805600.00[/tex]

Divide by 32 (their gcd)

[tex]R: A = 18283 : 56425[/tex] ---- this is the actual ratio of their savings

To get an estimate; divide by 18283

[tex]R: A = 1 : 3.086[/tex]

Approximate

[tex]R: A = 1 : 3[/tex]