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Arithmetic4

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Manager
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Arithmetic4 [#permalink] New post 07 Nov 2009, 01:06
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (03:22) correct 0% (00:00) wrong based on 1 sessions
The total salary of A,B ,C is $444. If they spend 80%,85% and 75% of their salaries respectively, their savings are 7:6:9. Then salary of B is

1. 140
2. 160
3. 144
Senior Manager
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Re: Arithmetic4 [#permalink] New post 07 Nov 2009, 02:19
B. 160 ?

Went by brute force (5+mins), must be some better way to do it...

B=444 - (A+C)

A's saving = 20% = (1/5)A
B's saving = (3/20)B
C's saving = (1/4)C

Using the given ration to get A & C in B form:
[(1/5)A]/[(3/20)B]=7/6 => A=(7/8)B
Similarly C=(9/10)B

So B= 444 - [(7/8)B + (9/10)B]
Solving this equation; B=160
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Schools: ISB - Hyderabad, NSU - Singapore
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Re: Arithmetic4 [#permalink] New post 07 Nov 2009, 06:04
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Spendings of A, B and C are 80%, 85% and 75%. so we can derive that total spending to be 80% of the total.

Total salary is 444, which means total spending (80%) is approx. $ 355.2 and savings is $ 88.8. B's share in it is 6/22 or approx. $ 24 which 15% of his earning. Hence B's salary should be $ 160.

Is this right OA?
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Re: Arithmetic4 [#permalink] New post 09 Nov 2009, 23:30
Good one Kalpesh

Nice way

Agree with 160$
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Re: Arithmetic4 [#permalink] New post 11 Nov 2009, 20:32
kalpeshchopada7 wrote:
Spendings of A, B and C are 80%, 85% and 75%. so we can derive that total spending to be 80% of the total.

Total salary is 444, which means total spending (80%) is approx. $ 355.2 and savings is $ 88.8. B's share in it is 6/22 or approx. $ 24 which 15% of his earning. Hence B's salary should be $ 160.

Is this right OA?


I also used approximation but of a different kind. I assumed 15% of B's salary= Multiple of 6 in order to get integer values for savings of A&B&C. Got to option "160" and worked backwards to verify if all the salaries added up to 444
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Re: Arithmetic4 [#permalink] New post 12 Nov 2009, 02:06
kalpeshchopada7 wrote:
Spendings of A, B and C are 80%, 85% and 75%. so we can derive that total spending to be 80% of the total.

Total salary is 444, which means total spending (80%) is approx. $ 355.2 and savings is $ 88.8. B's share in it is 6/22 or approx. $ 24 which 15% of his earning. Hence B's salary should be $ 160.

Is this right OA?



Hi kalpeshchopada7,

I guess that you are taking in this example the assumption that all salaries are almost the same...
Let's imagine salary A = 10$ and salary C = 10$ ... you will have some troubles to find the good solution.

Even if this way is really smart, the assumption could kill you.
Re: Arithmetic4   [#permalink] 12 Nov 2009, 02:06
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