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

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Joined: 02 May 2012
Posts: 10
A person bought 150 packets of choclate. He was able to sell 1/3...  [#permalink]

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07 Jan 2015, 07:15
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Difficulty:

25% (medium)

Question Stats:

88% (02:48) correct 13% (03:23) wrong based on 106 sessions

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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!! Math Expert Joined: 02 Sep 2009 Posts: 52343 Re: A person bought 150 packets of choclate. He was able to sell 1/3... [#permalink] ### Show Tags 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. Answer: C. _________________ Current Student Joined: 24 Dec 2014 Posts: 102 Concentration: Strategy, General Management GMAT 1: 750 Q50 V41 A person bought 150 packets of choclate. He was able to sell 1/3... [#permalink] ### Show Tags 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!!
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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, 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 Final Answer: GMAT assassins aren't born, they're made, Rich _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com # Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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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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05 Sep 2018, 03:06
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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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