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The profit P, in dollars, for any given month at a certain company is

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gmatt1476
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The profit P, in dollars, for any given month at a certain company is [#permalink] New post  20 Apr 2020, 10:43
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The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02
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The profit P, in dollars, for any given month at a certain company is [#permalink] New post  20 Apr 2020, 10:53
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Profit for each of first 4 Months = I-C= I-I-32000 = -32000 or 32000 (loss)

Profit for each of next 3 months = I-C = C+3600 - C = 36000

Profit for each of last 5 months = I-C = C+10000-C = 10000

Net profit for 12 months = [-4*32000]+[3*36000]+ [5*10000] = -32000 + 3*(36000-32000) +50000 = 30000$




Bunuel wrote:
The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02
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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  20 Apr 2020, 10:58
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Answer is supposedly 30,000
Company profit= I-C
I is the income/month
C is the cost/month
Profit/Loss For first 4 months
C=I+32000
-32000=I-C [ for 1 month]
Loss for first 4 month = 32000*4=128000-----(1)

Profit/Loss For next 3 months
I=C+32000
36000=I-C [ for 1 month]
Profit for next 3 month = 36000*3=108000-----(2)

Profit/Loss For next 5 months
I=C+10000
10000=I-C [ for 1 month]
Profit for next 5 month = 10000*5=50000-----(3)

Total Profit/Loss=
= -128000+108000+50000
= 30000

IOC is B

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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  23 Apr 2020, 06:50
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gmatt1476 wrote:
The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02



Cost= I+32 * ( 4 months) = I +128

Income = C+36 * (3 months) = C+108

Income = C+10 * (5 months) = C+150

Profit = I -C

158-128 = 30 :grin:
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The profit P, in dollars, for any given month at a certain company is [#permalink] New post  26 Apr 2020, 07:35
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Fast solution requires to eliminate all the elements that are not helpful

SOLUTION:
\(4 Months*(-32) = -128\)
\(3 Months*(+36) = 108 \)
\(5 Months*(+10) = 50\)

\(Revenue-Cost = \)

\(108+50-128 = 158-128 = 30\)

ANSWER (B)
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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  27 Apr 2020, 03:01
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gmatt1476 wrote:
The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02


Let’s express I in terms of C for the first 4 months of the year. For each of these 4 months, I = C - 32,000. Therefore, the total profit for the year is:

P = 4(C - 32,000) + 3(C + 36,000) + 5(C + 10,000) - 12C

P = 4C - 128,000 + 3C + 108,000 + 5C + 50,000 - 12C

P = 30,000

Answer: B
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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  31 May 2020, 13:42
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Formula for profit (P) = I - C

Profit for the first 4 months = 4*[I - (I + 32000)] = 4*[I - I - 32000] = -128000

Profit for the next 3 months = 3*[C + 36000 - C] = 3*[36000] = 108000

Profit for the next 5 months = 5*[C + 10000 - C] = 5*[10000] = 50000

Total profit = -128000 + 108000 + 50000 = 30000
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The profit P, in dollars, for any given month at a certain company is [#permalink] New post  27 Jun 2020, 18:47
Soln:

Given P= I − C

- The first 4 months of the year, C = I + 32,000 --> 4C=4I + 128000 ---> 4I- 4C = -128000
- For each of the next 3 months, I = C + 36,000 --> 3I=3C +108000 ---> 3I-3C = 108000
- For 5 remaining months , I = C + 10,000 --> 5I=5C + 50000 ---> 5I- 5C = 50000

P = I- C therefore, Total Profit for the year = (-128000+108000+50,000)=30000

Ans choice B

Hope this helps :thumbsup:
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The profit P, in dollars, for any given month at a certain company is [#permalink] New post  27 Jun 2020, 19:25
It is given
P (Profit)= I( Income)-C (Cost)

First 4 month profit. (A) =-32000*4 = -128000
Next 3 month profit. (B) =36000*3. =108000
Remaining 5 month profit (C). =10000*5 =50000

Total profit. 12 month profit. =A+B+C. =30000

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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  27 Jun 2020, 20:33
gmatt1476 wrote:
The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02



first 4 months c=I+320000 means C-I=-32000 for each month total 4*-32000 = -128000
next 3 months I = C + 36,000 means I-C=36000 FOR each month means total 3*36000=108000
remaining 5 months I=C+10000 means I-C=10000 FOR EACH MONTH means total 5*10000=50000

12 months profit = 50000+108000-128000=30000
ANS:B
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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  11 Feb 2021, 08:02
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SOLUTION:

A NEW OG 2021 QUESTION

P= I − C is given

For each of first 4 months C = I + 32,000 (given) => Profit for first 4 months (P) = I-(I+32000)

= -32000 (Negative sign indicates a loss)
Total loss in the first 4 months = 4*32000

=$ - 128,000

For each of the next 3 months, I = C + 36,000

=>C=I-36000

=>Profit for each of the next 3 months (P) = I-(I-36000)

=36000

Total profit for the 3 months = 3*36,000

=$108,000

For each of the 5 remaining months of the year, I = C + 10,000

=> C=I -10,000

Profit for the 5 remaining months of the year(P) = I-(I-10,000)

=10,000

Total profit in these 5 months = 5*10,000
= $50,000

Thus, the total profit for 12 months

=-128000 + 108000 + 50,000

= $30,000 (OPTION B)

Hope this helps :thumbsup:
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Re: The profit P, in dollars, for any given month at a certain company is [#permalink] New post  15 May 2021, 03:25
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gmatt1476 wrote:
The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02

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The profit P, in dollars, for any given month at a certain company is [#permalink] New post  11 Jun 2021, 18:39
gmatt1476 wrote:
The profit P, in dollars, for any given month at a certain company is defined by P= I − C, where I represents total income, in dollars, and C represents total costs, in dollars, for the month. For each of the first 4 months of the year, C = I + 32,000; and for each of the next 3 months, I = C + 36,000. If I = C + 10,000 for each of the 5 remaining months of the year, what was the company's total profit for the 12-month year?

(A) $10,000
(B) $30,000
(C) $40,000
(D) $50,000
(E) $70,000

PS01080.02


We can divide all values by 1000 i.e. look at 32000 as 32 and so on. Why? Because the ans options also can be divided by 1000(friendly nos) and it is relatively easy to calculate 2 digit nos then 5 digit nos.
We can bypass the algebra just by looking at the problem in parts:
Part 1: 4 months- Loss of 32*4=128
Part 2:3 months- Profit of 36*3=108
Part3: 5 months- Profit of 10*5=50

Therefore total profit is: 50+108-128=30 i.e. 30000

Option B is the ans
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