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13 Aug 2021, 07:45
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
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Question Stats:
77% (02:40) correct
23%
(03:00)
wrong
based on 114
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The average monthly expenditure of a family for the first four months is $2750, for the next three months is $2940, and for the last five months $3130. If the family saves $5330 throughout year, find the average monthly income of the family for that year.
(A) $4200
(B) $3800
(C) $3500
(D) $3400
(E) $3200
(A) $4200
(B) $3800
(C) $3500
(D) $3400
(E) $3200
14 Aug 2021, 11:42
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The average monthly expenditure of a family for the first four months is $2750, for the next three months is $2940, and for the last five months $3130. If the family saves $5330 throughout year, find the average monthly income of the family for that year.
Sol:
Income= Expenditure + Savings
Total expenditure = (4 x 2750) + (2940x3) x (3130x5) = (11000) + (8820) x (15650) = $35470.
Total Savings = $ 5330
Average Monthly Income = ( Total expenditure+ Total Savings)/Months in a year = (35470 + 5330)/12 = $ 3400
Option (D)
Sol:
Income= Expenditure + Savings
Total expenditure = (4 x 2750) + (2940x3) x (3130x5) = (11000) + (8820) x (15650) = $35470.
Total Savings = $ 5330
Average Monthly Income = ( Total expenditure+ Total Savings)/Months in a year = (35470 + 5330)/12 = $ 3400
Option (D)
14 Aug 2021, 21:44
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\(Average = \frac{Sum }{Total}\)
Sum = Average * Total
=> Sum (first 4 months) = 4 * 2750 = 11,000
=> Sum (next 3 months) = 3 * 2940 = 8,820
=> Sum (last 5 months) = 5 * 3130 = 15,650
Overall expense: 11,000 + 8,820 + 15,650 = 35,470
=> Monthly expense : \(\frac{35,470 }{ 12} = 2955.xxx\)
Monthly income = Monthly expense + Monthly savings
Savings: 5330 in a year => Monthly savings : \(\frac{5330 }{ 12} = 444.xxx\)
Monthly income : 2955 + 444 = 3,399
Answer D
Sum = Average * Total
=> Sum (first 4 months) = 4 * 2750 = 11,000
=> Sum (next 3 months) = 3 * 2940 = 8,820
=> Sum (last 5 months) = 5 * 3130 = 15,650
Overall expense: 11,000 + 8,820 + 15,650 = 35,470
=> Monthly expense : \(\frac{35,470 }{ 12} = 2955.xxx\)
Monthly income = Monthly expense + Monthly savings
Savings: 5330 in a year => Monthly savings : \(\frac{5330 }{ 12} = 444.xxx\)
Monthly income : 2955 + 444 = 3,399
Answer D
