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31 Jul 2019, 03:15
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B
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71% (02:06) correct
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A certain company has a bonus plan that is based on yearly gross sales. For salespeople with yearly gross sales greater than $10,000 but less than $100,000, the bonus is calculated by taking the ten thousands digit, doubling it and multiplying it by 1000. If Peggy was the company's top salesperson, and her yearly gross sales were between $10,000 and $100,000, was Peggy's bonus greater than 15% of her yearly gross sales?
(1) No Salesperson had a yearly gross sales of less than $15,000 or greater than $50,000.
(2) Peggy's bonus was $8,000.
(1) No Salesperson had a yearly gross sales of less than $15,000 or greater than $50,000.
(2) Peggy's bonus was $8,000.
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31 Jul 2019, 03:45
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Bunuel
A certain company has a bonus plan that is based on yearly gross sales. For salespeople with yearly gross sales greater than $10,000 but less than $100,000, the bonus is calculated by taking the ten thousands digit, doubling it and multiplying it by 1000. If Peggy was the company's top salesperson, and her yearly gross sales were between $10,000 and $100,000, was Peggy's bonus greater than 15% of her yearly gross sales?
(1) No Salesperson had a yearly gross sales of less than $15,000 or greater than $50,000.
(2) Peggy's bonus was $8,000.
(1) No Salesperson had a yearly gross sales of less than $15,000 or greater than $50,000.
(2) Peggy's bonus was $8,000.
Given: A certain company has a bonus plan that is based on yearly gross sales. For salespeople with yearly gross sales greater than $10,000 but less than $100,000, the bonus is calculated by taking the ten thousands digit, doubling it and multiplying it by 1000. Peggy was the company's top salesperson, and her yearly gross sales were between $10,000 and $100,000.
Asked: Was Peggy's bonus greater than 15% of her yearly gross sales?
Let us assume Peggy's yearly sales were between $10,000 and $100,000 = x * $10,000
Bonus = 2x * $1000 = x * $2000
Bonus / yearly gross sales = x $2000 / x $10,000 = 20%
(1) No Salesperson had a yearly gross sales of less than $15,000 or greater than $50,000.
Peggy's bonus / yearly gross sales = 20% > 15%
SUFFICIENT
(2) Peggy's bonus was $8,000
Peggy's bonus / yearly gross sales = 20% > 15%
SUFFICIENT
IMO D
31 Jul 2019, 03:45
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Statement1:
15000<GrossSales<50000
If Peggy's yearly gross sales were between 40000 and 49999,
--> 4*2*1000=8000 --> (8000*100)/49999=16%
->The bonus was over 20% of her yearly gross sales.(YES)
If Peggy's yearly gross sales were between 30000 and 39999,
--> 3*2*1000=6000 --> (6000*100)/39999=15.000375 %
->The bonus was over 20% of her yearly gross sales. (YES)
....
If Peggy's yearly gross sales were between 15000 and 19999,
--> 1*2*1000=2000 --> (2000*100)/15000=13,3%
->The bonus was maximum 13.3% of her yearly gross sales. (NO)
Insufficient
Statement2:
Peggy's bonus was 8000$
(8000/1000)/2=4
--> that means that Peggy's yearly gross sales were between 40000 and 49999
(8000*100)/49999=16% (minimum value )
Her bonus was always greater than 15% of her yearly gross sales.
Sufficient
The answer choice is B.
15000<GrossSales<50000
If Peggy's yearly gross sales were between 40000 and 49999,
--> 4*2*1000=8000 --> (8000*100)/49999=16%
->The bonus was over 20% of her yearly gross sales.(YES)
If Peggy's yearly gross sales were between 30000 and 39999,
--> 3*2*1000=6000 --> (6000*100)/39999=15.000375 %
->The bonus was over 20% of her yearly gross sales. (YES)
....
If Peggy's yearly gross sales were between 15000 and 19999,
--> 1*2*1000=2000 --> (2000*100)/15000=13,3%
->The bonus was maximum 13.3% of her yearly gross sales. (NO)
Insufficient
Statement2:
Peggy's bonus was 8000$
(8000/1000)/2=4
--> that means that Peggy's yearly gross sales were between 40000 and 49999
(8000*100)/49999=16% (minimum value )
Her bonus was always greater than 15% of her yearly gross sales.
Sufficient
The answer choice is B.
