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# A used cars salesman receives an annual bonus if he meets a certain

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Math Expert
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A used cars salesman receives an annual bonus if he meets a certain [#permalink]

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07 Sep 2016, 03:30
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Question Stats:

80% (01:21) correct 20% (01:59) wrong based on 164 sessions

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A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold 1/5 of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?

A. 4/15
B. 4/20
C. 3/4
D. 11/20
E. 9/20
[Reveal] Spoiler: OA

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A used cars salesman receives an annual bonus if he meets a certain [#permalink]

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07 Sep 2016, 03:45
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A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold 1/5 of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?

Let Last year Quota be = 100x
This year Quota = 100x - 25%of100x = 75x

Salesman has so far sold = 1/5(100x) = 20x
Quantity still need to be sold = 75x - 20x = 55x

Question :: What fraction of 100x is 55x = 55x/100x = 11/20.

Ans:: D

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Re: A used cars salesman receives an annual bonus if he meets a certain [#permalink]

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07 Sep 2016, 17:56
We have 1/5 and 25% which is 1/4. Let's pick some smart numbers.

Assume last year's quota to be 20.
This year's quota = 25% reduction from 20 = 15

Sold so far = 1/5 * 20 = 4
Remaining = 15 - 4 = 11

Required = 11/20

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Re: A used cars salesman receives an annual bonus if he meets a certain [#permalink]

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23 Jun 2017, 17:16
Bunuel wrote:
A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold 1/5 of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?

A. 4/15
B. 4/20
C. 3/4
D. 11/20
E. 9/20

All this is really asking is that if we have say 500 cars for last years quota, then we have 100 cars sold so far and that 500 has been fortunately reduced to 350 (500 x .75) - so 275 cars need to be sold and those 275 cars are what percent of 500 in terms of a fraction?

275/500= 11/20

Thus
"D"

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Re: A used cars salesman receives an annual bonus if he meets a certain [#permalink]

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03 Jan 2018, 01:52
1/5 * 100% = 20% sold
Target reduced by 25% = 100% - 25% = 75%
He still has to sell 75% - 20% = 55%

55/100 = 11/20

Option D
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A used cars salesman receives an annual bonus if he meets a certain [#permalink]

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05 Jan 2018, 14:17
Bunuel wrote:
A used cars salesman receives an annual bonus if he meets a certain quota. This year, the salesman has so far sold 1/5 of last year's quota. If this year's quota is reduced by 25 percent from last year, the quantity that he still needs to sell this year in order to receive the annual bonus is what fraction of the preceding year's car quota?

A. 4/15
B. 4/20
C. 3/4
D. 11/20
E. 9/20

Last year's quota: 100

He has sold $$\frac{1}{5}$$ of that: 20

This year's quota down by 25% (100*.75): 75

Must still sell: (75-20) = 55

55 as fraction of last year's quota? $$\frac{55}{100}=\frac{11}{20}$$

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A used cars salesman receives an annual bonus if he meets a certain   [#permalink] 05 Jan 2018, 14:17
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