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30 Dec 2024, 01:30
Kudos
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
51% (02:15) correct
49%
(02:23)
wrong
based on 214
sessions
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Not Attempted Yet
A certain salesman's yearly income is determined by a base salary plus a commission on the sales he makes during the year. Was the salesman's commission larger than his base salary last year?
(1) If the amount of the commission had been 30 percent higher, the salesman's total income (salary plus commission) would have been 10 percent higher last year.
(2) The absolute difference between the amount of the salesman's base salary and the amount of the commission was equal to 50 percent of the salesman's base salary last year.
(1) If the amount of the commission had been 30 percent higher, the salesman's total income (salary plus commission) would have been 10 percent higher last year.
(2) The absolute difference between the amount of the salesman's base salary and the amount of the commission was equal to 50 percent of the salesman's base salary last year.
Bunuel
Let income be I, base salary be BS and commission be C then, I = BS + C
Was C > BS?
Statement 1 - 1.1I = BS + 1.3C
Multiplying first equation by 1.1 and equating both the equations,
1.1BS + 1.1C = BS + 1.3C
0.1BS = 0.2C
BS = 2C
C > BS => No
Hence, this statement is sufficient.
Statement 2 - |BS - C| = BS/2
BS/2 = C
BS = 2C
or
3BS/2 = C
BS = 2C/3
C > BS => Maybe
Hence, this statement is insufficient.
Answer: A
*Edited explanation
30 Dec 2024, 23:59
Kudos
Bookmarks
No answers should be A
statement 2 is talking about absolute difference and not the normal difference
so |BS-C| = BS/2
case 1: BS-C = BS/2
C= BS/2
C<BS
case 2: C-BS = BS/2
C= 3BS/2
C=1.5BS
C>BS
So statement 2 is Insuffiecient.
bb please update the answer.
statement 2 is talking about absolute difference and not the normal difference
so |BS-C| = BS/2
case 1: BS-C = BS/2
C= BS/2
C<BS
case 2: C-BS = BS/2
C= 3BS/2
C=1.5BS
C>BS
So statement 2 is Insuffiecient.
bb please update the answer.
hr1212
