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# A merchant claims a loss of 4% on coffee but uses a weight of 840 gms

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Math Expert
Joined: 02 Sep 2009
Posts: 44351
A merchant claims a loss of 4% on coffee but uses a weight of 840 gms [#permalink]

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07 Feb 2014, 04:15
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Difficulty:

45% (medium)

Question Stats:

68% (01:46) correct 32% (02:13) wrong based on 190 sessions

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A merchant claims a loss of 4% on coffee but uses a weight of 840 gms instead of 1 kg to sell the coffee. The merchant actually makes a

A. 11 $$\frac{1}{7}$$ % gain

B. 14 $$\frac{2}{7}$$ % gain

C. 4% loss

D. 4% gain

E. 2% gain
[Reveal] Spoiler: OA

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Status: The Best Or Nothing
Joined: 27 Dec 2012
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Re: A merchant claims a loss of 4% on coffee but uses a weight of 840 gms [#permalink]

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04 Mar 2014, 02:01
2
KUDOS
Say actual cost = 1

Manipulated cost $$= \frac{960}{840}$$

Difference $$= \frac{960}{840} - 1$$

$$= \frac{120}{840}$$

$$= \frac{1}{7}$$

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Math Expert
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Posts: 44351
Re: A merchant claims a loss of 4% on coffee but uses a weight of 840 gms [#permalink]

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14 Nov 2017, 01:26
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Bunuel wrote:
A merchant claims a loss of 4% on coffee but uses a weight of 840 gms instead of 1 kg to sell the coffee. The merchant actually makes a

A. 11 $$\frac{1}{7}$$ % gain

B. 14 $$\frac{2}{7}$$ % gain

C. 4% loss

D. 4% gain

E. 2% gain

Say the cost price is 1 cent for a gram, so the cost price of 1000 grams is 1000 cents. 4% loss means that the merchant sells for 960 cents.

Actually he sells 840 grams for 960 cents. The cost of 840 grams is 840 cents, so the actual gain is (960 - 840)/840 = ~14%.

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Hope this helps.
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Re: A merchant claims a loss of 4% on coffee but uses a weight of 840 gms   [#permalink] 14 Nov 2017, 01:26
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# A merchant claims a loss of 4% on coffee but uses a weight of 840 gms

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