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

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

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New post 28 Jun 2017, 02:43
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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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New post 28 Jun 2017, 03:04
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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

Answer 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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New post 28 Jun 2017, 03:11
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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New post 28 Jun 2017, 03:33
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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

Hence Answer 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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New post 30 Jun 2017, 08:22
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

Answer: 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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New post 16 Sep 2018, 21:29
10% of x = 200
x = 2000
this is cp
sp = 2000*7/5
2800
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Re: A store’s selling price for a certain computer would yield a profit of &nbs [#permalink] 16 Sep 2018, 21:29
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