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Average monthly income of 10 members of a family is 26.2 thousand. The

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Bunuel
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Average monthly income of 10 members of a family is 26.2 thousand. The [#permalink] New post   26 Jan 2021, 08:45
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Average monthly income of 10 members of a family is 26.2 thousand. The income of 4 members of the family increases in the next month and the average increase in the income is 6.75 thousand. The average of the incomes of the remaining members is 32thousand, find the average income of the members whose income is increased.

(A) 25.23 thousand
(B) 24.25 thousand
(C) 23.20 thousand
(D) 22.23 thousand
(E) 20.25 thousand
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Re: Average monthly income of 10 members of a family is 26.2 thousand. The [#permalink] New post   26 Jan 2021, 10:08
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Total Income \(= 10*26.2=262\)

6 member income which was not increased \(= 6*32=192\)

4 member income before increment \(= 262-192=70\)

\(Average = \frac{70}{4}=17.5\)

\(After \ increment = 17.5+6.75=24.25\)

Ans B
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Re: Average monthly income of 10 members of a family is 26.2 thousand. The [#permalink] New post   12 Apr 2021, 09:44
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Bunuel wrote:
Average monthly income of 10 members of a family is 26.2 thousand. The income of 4 members of the family increases in the next month and the average increase in the income is 6.75 thousand. The average of the incomes of the remaining members is 32thousand, find the average income of the members whose income is increased.

(A) 25.23 thousand
(B) 24.25 thousand
(C) 23.20 thousand
(D) 22.23 thousand
(E) 20.25 thousand


Total Income \(= 10*26.2=262\)

6 member income which was not increased \(= 6*32=192\)

4 member income before increment \(= 262-192=70\)

4 members' increased \(= 6.75*4=27.00\)

4 members' total \(= 70+27=97\)

4 members' average \(=\frac{97}{4}=24.25\)

The answer is B
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Re: Average monthly income of 10 members of a family is 26.2 thousand. The [#permalink] New post   16 May 2022, 23:10
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Bunuel wrote:
Average monthly income of 10 members of a family is 26.2 thousand. The income of 4 members of the family increases in the next month and the average increase in the income is 6.75 thousand. The average of the incomes of the remaining members is 32thousand, find the average income of the members whose income is increased.

(A) 25.23 thousand
(B) 24.25 thousand
(C) 23.20 thousand
(D) 22.23 thousand
(E) 20.25 thousand



I am confused, is the avergae increase of 6.5 affect the total average of 26.2 or is 6.5 the average of the raise in income of the 4 people only?

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Re: Average monthly income of 10 members of a family is 26.2 thousand. The [#permalink]
16 May 2022, 23:10
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