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• ### $450 Tuition Credit & Official CAT Packs FREE November 15, 2018 November 15, 2018 10:00 PM MST 11:00 PM MST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### Free GMAT Strategy Webinar November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT. # A person bought 150 packets of choclate. He was able to sell 1/3...  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: ### Hide Tags Intern Joined: 02 May 2012 Posts: 10 A person bought 150 packets of choclate. He was able to sell 1/3... [#permalink] ### Show Tags 07 Jan 2015, 07:15 3 00:00 Difficulty: 25% (medium) Question Stats: 87% (02:49) correct 13% (03:23) wrong based on 105 sessions ### HideShow timer Statistics A person bought 150 packets of chocolate. He was able to sell 1/3 of them at a 5% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by the person after selling those 150 packets. A packet sold at a loss had a price of$9.

A: 0
B: Profit of $20 C: Loss of$25
D: Profit of $30 E: Loss of$35

It's a bit confusing to say 5% of profit. Please provide an intuitive answer if possible. Thanks!!
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Re: A person bought 150 packets of choclate. He was able to sell 1/3...  [#permalink]

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07 Jan 2015, 07:21
iNumbv wrote:
A person bought 150 packets of chocolate. He was able to sell 1/3 of them at a 5% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by the person after selling those 150 packets. A packet sold at a loss had a price of $9. A: 0 B: Profit of$20
C: Loss of $25 D: Profit of$30
E: Loss of $35 It's a bit confusing to say 5% of profit. Please provide an intuitive answer if possible. Thanks!! A packet sold at a 10% loss had a price of$9, thus the cost of a packet is $10. 50 packets was sold at a 5% profit --> gives profit of 10*0.05*50 =$25.
50 packets was sold at a 10% loss --> gives loss of 10*0.1*50 = $50. The overall loss is$25 - $50 =$25.

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A person bought 150 packets of choclate. He was able to sell 1/3...  [#permalink]

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07 Jan 2015, 07:26
It doesn't state 5% of profit, it says "a 5% profit"

150 packets
1/3 (150) at a loss of 10%
1/3 (150) no profit - (you can remove this from your calculation since it doesn't contribute to profit or loss)
1/3 (150) at a 5% profit

Each of packets sold at a loss was 10% below what the cost was resulting in a loss, they were sold for $9.00$10 = $9 with a 10% loss$10 = original price
$10.50 = original price with 5% profit 50 (packs with a profit) *$10.50 - 50 (packs with a loss) * $9 = -$25.00 loss

Hope this helps,

iNumbv wrote:
A person bought 150 packets of chocolate. He was able to sell 1/3 of them at a 5% profit, another 1/3 of them at zero profit and the remainder was sold at a 10% loss. Find the total profit or loss made by the person after selling those 150 packets. A packet sold at a loss had a price of $9. A: 0 B: Profit of$20
C: Loss of $25 D: Profit of$30
E: Loss of $35 It's a bit confusing to say 5% of profit. Please provide an intuitive answer if possible. Thanks!! EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 12856 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A person bought 150 packets of choclate. He was able to sell 1/3... [#permalink] ### Show Tags 07 Jan 2015, 11:33 Hi iNumbv, The math involved in this question can be done in a variety of ways; it's just a matter of what method you find most comfortable. Here, we're told that a person bought 150 packets of chocolate... We can say that 1 packet cost$X

We then sell 50 each at....
a 5% profit = 1.05X each
a 0% profit = 1X each
a 10% loss = .9X each

Since the question focuses on the net profit or loss, we can ignore the 50 packets we sold for a 0% profit and focus on the other 100.

50(1.05X + .9X) =
50(1.95X)

IF we had 50(2X), then we would have 0 profit.
Here we have 50(1.95X), so we clearly lost money.

The .05X that we lost can be quantified as 50(.05X) = 2.5X
Once we know the purchase price (X) of each packet, then we can just plug in and we'll know the total loss.

We're told that the price of a "10% loss" packet = $9, so the original price =$10. We can plug that in for X...

2.5(10) = 25 dollars lost

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Re: A person bought 150 packets of choclate. He was able to sell 1/3...  [#permalink]

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07 Jan 2015, 21:41
Lets put only 100 chocolates in the question, as rest 50 did not make any difference in profit/loss

Chocolate sold at 9 made a loss of 10%, means

Cost price $$= 9*\frac{100}{90} = 10$$

50 Chocolates at 5% profit

$$= 50 * 10*\frac{105}{100} = 525$$

50 chocolates at 10% loss

= 50 * 9 = 450

Total Selling price = 525+450 = 975

Total Cost price = 100*10 = 1000

Loss = 25

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Re: A person bought 150 packets of choclate. He was able to sell 1/3...  [#permalink]

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Re: A person bought 150 packets of choclate. He was able to sell 1/3... &nbs [#permalink] 05 Sep 2018, 03:06
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