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A paint shop sells spray cans at a flat charge of 50 cents per can. If

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Bunuel
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A paint shop sells spray cans at a flat charge of 50 cents per can. If [#permalink] New post   23 Jun 2016, 02:08
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A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer bought 10 cans and the owner decided to give that customer a special discount on the last two cans, what was the price of the two discounted cans?

(1) The customer paid four dollars and twenty cents total for the ten cans.
(2) The customer bought the ten cans for an average price of 42 cents per can.
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Re: A paint shop sells spray cans at a flat charge of 50 cents per can. If [#permalink] New post   23 Jun 2016, 02:41
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Bunuel wrote:
A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer bought 10 cans and the owner decided to give that customer a special discount on the last two cans, what was the price of the two discounted cans?

(1) The customer paid four dollars and twenty cents total for the ten cans.
(2) The customer bought the ten cans for an average price of 42 cents per can.


Price per can = 50 cents.
Original price of 10 cans = $5

Statement 1: The customer paid four dollars and twenty cents total for the ten cans
Price paid for 10 cans = $4.2

Since the customer got discount on the last two cans,
Hence the price of 8 cans = $4.
Price of 2 cans = 20 cents.
Hence price per can = 10 cents.
SUFFICIENT

Statement 2: The customer bought the ten cans for an average price of 42 cents per can
Total price of 10 cans = $4.2

Since the customer got discount on the last two cans,
Hence the price of 8 cans = $4.
Price of 2 cans = 20 cents.
Hence price per can = 10 cents.
SUFFICIENT


Correct option: D
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Re: A paint shop sells spray cans at a flat charge of 50 cents per can. If [#permalink] New post   23 Jun 2016, 04:44
Bunuel wrote:
A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer bought 10 cans and the owner decided to give that customer a special discount on the last two cans, what was the price of the two discounted cans?

(1) The customer paid four dollars and twenty cents total for the ten cans.
(2) The customer bought the ten cans for an average price of 42 cents per can.


50cents/can
8cans without discount = 50x8 = 400 cents
Discount for last two cans ??

Statement 1) Total Amount 420cents => Price for the last two cans = 20cents i.e 10cents a piece. Hence discount offered is 80% .. Sufficient.

Statement 2) Average Price 42cents => total amount = 42 x 10 = 420 cents
=> Price for 8cans without discount = 400cents
=> Price for the last two cans = (420-400)=20cents i.e 10cents a piece.
Hence discount offered is 80% .. Sufficient.

Answer Choice D) Both statements alone are sufficient.

Good luck

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Re: A paint shop sells spray cans at a flat charge of 50 cents per can. If [#permalink] New post   23 Jun 2016, 05:38
Bunuel wrote:
A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer bought 10 cans and the owner decided to give that customer a special discount on the last two cans, what was the price of the two discounted cans?

(1) The customer paid four dollars and twenty cents total for the ten cans.
(2) The customer bought the ten cans for an average price of 42 cents per can.



Total usual revenue: 10 * 50 = 500 cents

From statement 1 total revenue = 420 cents.
8 cans * 50 = 400 cents
so 2 cans were sold for 20 cents. each can: 10 cents.

Sufficient.

From statement 2

avg price of 10 cans = 42 cents
Total price = 420 cents.
This is same input as Statement (1)
So this is also sufficient

Both statements are independently suffcient.

D is the answer.
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Re: A paint shop sells spray cans at a flat charge of 50 cents per can. If [#permalink] New post   23 Jun 2016, 11:55
Bunuel wrote:
A paint shop sells spray cans at a flat charge of 50 cents per can. If a customer bought 10 cans and the owner decided to give that customer a special discount on the last two cans, what was the price of the two discounted cans?

(1) The customer paid four dollars and twenty cents total for the ten cans.
(2) The customer bought the ten cans for an average price of 42 cents per can.


Total price without any discount for 10 cans= .50*10= 5 dollars
Total price of first 8 cans= .50*8= 4 dollars

(1) The customer paid four dollars and twenty cents total for the ten cans.

Customer paid 4.20. He paid 4 dollars for first 8 and .20 cents for last 2. Sufficient.

(2) The customer bought the ten cans for an average price of 42 cents per can.

We can calculate the total amount paid= Avg*10= .42*10= 4.20 dollars

Same information as option A. Sufficient.

D is the answer
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Re: A paint shop sells spray cans at a flat charge of 50 cents per can. If [#permalink]
23 Jun 2016, 11:55
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