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15 Oct 2017, 21:52
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Difficulty:

35% (medium)

Question Stats:

76% (01:44) correct 24% (02:09) wrong based on 29 sessions

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A pen was sold at 10% loss. If the selling price was $6 more then the seller could have made a profit of 5%. What was the purchase price of the pen? (A) 45 (B) 40 (C) 30 (D) 25 (E) None of these. [Reveal] Spoiler: OA Last edited by Bunuel on 15 Oct 2017, 21:57, edited 1 time in total. Renamed the topic. Kudos [?]: 2 [0], given: 4 Math Expert Joined: 02 Aug 2009 Posts: 5227 Kudos [?]: 5876 [1], given: 118 Re: A pen was sold at 10% loss. If the selling price was$6 more then the [#permalink]

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15 Oct 2017, 22:42
1
KUDOS
Expert's post
RockySinha wrote:
A pen was sold at 10% loss. If the selling price was $6 more then the seller could have made a profit of 5%. What was the purchase price of the pen? (A) 45 (B) 40 (C) 30 (D) 25 (E) None of these. Hi... You can make the Q very simple if you realize that both loss% and profit % are on cost or purchase price.. So an addition of$6 gets it from -10% to +5%, so a change of 15% in purchase price (P).
So 15%of P=6.......
P=$$6*\frac{100}{15}=40$$

B
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Kudos [?]: 5876 [1], given: 118

Director
Joined: 22 May 2016
Posts: 998

Kudos [?]: 347 [0], given: 594

A pen was sold at 10% loss. If the selling price was $6 more then the [#permalink] ### Show Tags 16 Oct 2017, 04:51 1 This post was BOOKMARKED RockySinha wrote: A pen was sold at 10% loss. If the selling price was$6 more then the seller could have made a profit of 5%. What was the purchase price of the pen?

(A) 45
(B) 40
(C) 30
(D) 25
(E) None of these.

Algebra
Let purchase price (cost) = P

A pen sold at 10 percent loss means it was sold at 90 percent of P = .90P

If sold at 5 percent profit = 1.05P

It was sold at .90P
IF sold for $6 more: 90P + 6... It would make a 5% profit: 1.05P .90P + 6 = 1.05P 6 = .15P P = $$\frac{6}{.15}= 40$$ ANSWER B Answer choices Start with C) 30 At a 10 percent loss, it sold for: ($30)(.9)= $27 IF sold at 5 percent profit: (1.05)($30) = $31.50 The difference between loss price and 5% profit price should be$6:
$31.50 - 27 =$4.50

Too low. That means the base, 30, from which percentages are drawn, is too low (greater number yield greater difference between percentages).

But: $4.50 is 3/4 of$6.00.
$30 is 3/4 of$40.

Try B) 40

Sold at 10 percent loss:
(.90)($40) =$36

IF sold at 5 percent profit:
(1.05)($40) =$42

($42 -$36) = $6 That's the answer ANSWER B Kudos [?]: 347 [0], given: 594 Target Test Prep Representative Status: Founder & CEO Affiliations: Target Test Prep Joined: 14 Oct 2015 Posts: 1821 Kudos [?]: 942 [0], given: 3 Location: United States (CA) Re: A pen was sold at 10% loss. If the selling price was$6 more then the [#permalink]

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17 Oct 2017, 11:42
Expert's post
1
This post was
BOOKMARKED
RockySinha wrote:
A pen was sold at 10% loss. If the selling price was $6 more then the seller could have made a profit of 5%. What was the purchase price of the pen? (A) 45 (B) 40 (C) 30 (D) 25 (E) None of these. We can let r = revenue and c = cost. Since the pen was sold at a 10% loss: r - c = -0.1c r = 0.9c Since if the selling price was$6 more then the seller could have made a profit of 5%:

r + 6 - c = 0.05c

r + 6 = 1.05c

Thus:

0.9c + 6 = 1.05c

6 = 0.15c

40 = c

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Kudos [?]: 942 [0], given: 3