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# Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made b

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Math Expert
Joined: 02 Sep 2009
Posts: 64144
Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made b  [#permalink]

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02 Apr 2020, 08:54
00:00

Difficulty:

55% (hard)

Question Stats:

61% (03:28) correct 39% (03:09) wrong based on 18 sessions

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Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made by C1, C2, and C3 are in the ratio 9 : 10 : 8 while the profits made by C2, C4, and C5 are in the ratio 18 : 19 : 20. If C5 has made a profit of \$19,000 crore more than C1, then the total profit (in \$) made by all five companies is:

A. 438,000
B. 435,000
C. 348,000
D. 345,000
E. 322,000

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Senior Manager
Joined: 14 Oct 2019
Posts: 404
Location: India
GPA: 4
WE: Engineering (Energy and Utilities)
Re: Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made b  [#permalink]

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02 Apr 2020, 11:00
1
Profit of C1 = 9x
Profit of C2 = 10x = 18y — (1)
Profit of C3 = 8x
Profit of C4 = 19y
Profit of C1 = 20y

again, 20y = 19,000 + 9x [given condition ] — (2)
solving (1) and (2) we get, x=9,000 and y=5,000
So, Total profit = 9x +10x + 8x + 19y + 20y = 438,000
Option (A)
Director
Joined: 08 Aug 2017
Posts: 726
Re: Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made b  [#permalink]

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02 Apr 2020, 17:27
I did this way.
c1: c2:c3:c4:c5::162:180:144:190:200

Now I know c5-c1= 19
Ratio difference of c5-c1= 38
Sum of ratio= 876

So total = (sum of ratio for all/difference of ration of c5 and c1)* value of c5-c1
(19/38)*876= 438
Re: Suppose, C1, C2, C3, C4, and C5 are five companies. The profits made b   [#permalink] 02 Apr 2020, 17:27