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# The salaries earned by Adam and Bart in different years are in arithme

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General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 857
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
The salaries earned by Adam and Bart in different years are in arithme  [#permalink]

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24 Dec 2019, 22:05
1
5
00:00

Difficulty:

45% (medium)

Question Stats:

45% (01:43) correct 55% (02:46) wrong based on 11 sessions

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The salaries earned by Adam and Bart in different years are in arithmetic progression. If the ratio of the amount earned by them in the ‘p’ number of years is (4p+1) : (2p+17), then find the ratio of the salaries earned by them in the 7th year.

A. (2p+1) : (4p+6)
B. 53 : 43
C. 4 : 7
D. 15p : 36p
E. 53 : 40

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Re: The salaries earned by Adam and Bart in different years are in arithme  [#permalink]

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25 Dec 2019, 08:17
1
salaries earned by Adam and Bart in 1st year are A and B respectively

Common difference between yearly salaries of Adam and Bart are x and y respectively

$$\frac{2A+(p-1)x}{2B+(p-1)y}= \frac{4p+1}{2p+17}$$

Put p=13

$$\frac{2A+12x}{2B+12y}= \frac{53}{43}$$

$$\frac{A+6x}{B+6y}=\frac{ 53}{43}$$

DisciplinedPrep wrote:
The salaries earned by Adam and Bart in different years are in arithmetic progression. If the ratio of the amount earned by them in the ‘p’ number of years is (4p+1) : (2p+17), then find the ratio of the salaries earned by them in the 7th year.

A. (2p+1) : (4p+6)
B. 53 : 43
C. 4 : 7
D. 15p : 36p
E. 53 : 40
Re: The salaries earned by Adam and Bart in different years are in arithme   [#permalink] 25 Dec 2019, 08:17
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