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A company accountant estimates that airfares next year for business

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A company accountant estimates that airfares next year for business  [#permalink]

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New post 04 Jul 2017, 11:37
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A company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year total airfares for business trips of a thousand miles or less were $9,900 and airfares for all other business trips were $13,000. According to the accountant's estimate, if the same number of business trips will be made next year as this year, how much will be spent for airfares next year?

A. 22930
B. 26180
C. 26330
D. 26490
E. 29770

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Re: A company accountant estimates that airfares next year for business  [#permalink]

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New post 04 Jul 2017, 12:28
This is my detailed approach:

Fares last year Under 1000 miles: x = 9,900
Fares last year Over 1000 miles: y = 13,000

Number of trips will remain the same from one year to the other

Total spent on fares next year = x*1.2 + y*1.1 = 11,880 + 14,300 = 26,180

I will save time doing the sum of both quantities by looking at the answer choices, units digits will be 0 but all answer choices end in 0. Tenths digits will be 8. Therefore option (b) is correct.
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Re: A company accountant estimates that airfares next year for business  [#permalink]

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New post 04 Jul 2017, 13:52
As the trips remain the same.

9900 * 1.2 + 13000 * 1.1 = 26180

Ans B
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Re: A company accountant estimates that airfares next year for business  [#permalink]

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New post 22 Aug 2018, 09:07
20% increase in 9900 = 1.2*9900 = 11880
10% increase in 13000 = 1.1*13000 = 14300
total = 11880+14300 = 26180
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Re: A company accountant estimates that airfares next year for business  [#permalink]

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New post 22 Aug 2018, 09:55
Quote:
A company accountant estimates that airfares next year for business trips of a thousand miles or less will increase by 20 percent and airfares for all other business trips will increase by 10 percent. This year total airfares for business trips of a thousand miles or less were $9,900 and airfares for all other business trips were $13,000. According to the accountant's estimate, if the same number of business trips will be made next year as this year, how much will be spent for airfares next year?

A. 22930
B. 26180
C. 26330
D. 26490
E. 29770


This year´s: $ 13000 + 9900 = $ (23000 - 100)
Addends: $ (2x990 + 1300) = $ (1800+180+1300)

? = 24800 + 1300 + 80 = 25000 + 1100 + 80 = $26180.

The solution above follows the notations and rationale taught in the GMATH method. ("Breaking numbers" avoid mistakes and losing stamina!)
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Re: A company accountant estimates that airfares next year for business &nbs [#permalink] 22 Aug 2018, 09:55
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