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# A store’s selling price for a certain computer would yield a profit of

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Math Expert
Joined: 02 Sep 2009
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A store’s selling price for a certain computer would yield a profit of  [#permalink]

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28 Jun 2017, 03:43
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45% (medium)

Question Stats:

64% (01:49) correct 36% (01:52) wrong based on 82 sessions

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A store’s selling price for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. If the price were increased by $200, it would yield a profit of 50 percent of the computer’s cost. What was the initial selling price of the computer? (A)$2000
(B) $2400 (C)$2800
(D) $3000 (E)$3500

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Re: A store’s selling price for a certain computer would yield a profit of  [#permalink]

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28 Jun 2017, 04:04
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Let c = cost & s = selling price

A 40% profit over the selling cost is equal to 1.4*c so original price s = 1.4*c;

Increasing s by $200 also increases profit by an additional 10% which gives us this equation: p+200 = 1.5*c We can combine both equations to figure out how much$200 is relative to the original cost of the item:
p = 1.4*c
p+200 = 1.5*c
200 = .1*c or 1/10 the cost

Now we substitute back into the original equation to solve for p;
p = 1.4 * 200
p=2800

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Re: A store’s selling price for a certain computer would yield a profit of  [#permalink]

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28 Jun 2017, 04:11
Let the Cost Price(CP) be $$x$$ and Selling Price (SP) be $$1.4x$$ initially.

Since $$1.4$$ is divisible by $$2800$$ (option C), if SP was $$2,800$$, then CP = $$\frac{2,800}{1.4} = 2,000$$.

$$2,000 + 200 = 3,000 = 1.5x$$. Hence, Ans - C.
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Re: A store’s selling price for a certain computer would yield a profit of  [#permalink]

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28 Jun 2017, 04:33
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Bunuel wrote:
A store’s selling price for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. If the price were increased by $200, it would yield a profit of 50 percent of the computer’s cost. What was the initial selling price of the computer? (A)$2000
(B) $2400 (C)$2800
(D) $3000 (E)$3500

Logical approach
If price is increased by 200, incremental increase in profit is 10%. It means that 200 is 10% of the Cost price of the computer.
So CP = 2000
Initial SP = CP * 1.4
= 2000 * 1.4
= 2800

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Re: A store’s selling price for a certain computer would yield a profit of  [#permalink]

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30 Jun 2017, 09:22
1
Bunuel wrote:
A store’s selling price for a certain computer would yield a profit of 40 percent of the store’s cost for the computer. If the price were increased by $200, it would yield a profit of 50 percent of the computer’s cost. What was the initial selling price of the computer? (A)$2000
(B) $2400 (C)$2800
(D) $3000 (E)$3500

We can let r = the store’s selling price and c = the cost; thus:

r - c = 0.4c

r = 1.4c

SInce if the price were increased by \$200, it would yield a profit of 50 percent of the computer’s cost:

r + 200 - c = 0.5c

r + 200 = 1.5c

Since r = 1.4c:

1.4c + 200 = 1.5c

200 = 0.1c

c = 2,000

So, the selling price is:

r - 2,000 = 0.4(2,000)

r - 2,000 = 800

r = 2,800

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Re: A store’s selling price for a certain computer would yield a profit of  [#permalink]

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16 Sep 2018, 22:29
10% of x = 200
x = 2000
this is cp
sp = 2000*7/5
2800
Re: A store’s selling price for a certain computer would yield a profit of   [#permalink] 16 Sep 2018, 22:29
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