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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and

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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and  [#permalink]

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New post 16 Jan 2020, 23:43
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (01:47) correct 33% (01:54) wrong based on 11 sessions

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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and 11 : 10, respectively. If Amy and Bob save $7900 and $21000 respectively, what are their incomes ?

A. Amy = $10,000, Bob = $16,000
B. Amy = $15,000, Bob = $24,000
C. Amy = $20,000, Bob = $32,000
D. Amy = $25,000, Bob = $40,000
E. Amy = $30,000, Bob = $48,000

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Re: The ratio of the income and expenditure of Amy and Bob are 5 : 8 and  [#permalink]

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New post 17 Jan 2020, 11:16

Solution



Given
In this question, we are given that
    • The ratio of the income and expenditure of Amy and Bob are 5: 8 and 11: 10, respectively
    • Amy and Bob save $7900 and $21000 respectively

To find
We need to determine
    • The individual incomes of Amy(A) and Bob(B)

Approach and Working out
Let us assume that,
    • The incomes of A and B are 5x and 8x respectively
    • The expenditures of A and B are 11y and 10y respectively

Savings of
    • A: 5x – 11y = 7900
    • B: 8x – 10y = 21000
    Solving the equations, we get: x = 4000, and y = 1100.

Hence, incomes of
    • A = 5 x 4000 = 20000
    • B = 8 x 4000 = 32000

Thus, option C is the correct answer.

Correct Answer: Option C
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Re: The ratio of the income and expenditure of Amy and Bob are 5 : 8 and   [#permalink] 17 Jan 2020, 11:16
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The ratio of the income and expenditure of Amy and Bob are 5 : 8 and

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