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If the total weight of d equally weighted objects is 40 pounds, how

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Joined: 02 Sep 2009
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Kudos [?]: 128915 [0], given: 12183

If the total weight of d equally weighted objects is 40 pounds, how [#permalink]

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If the total weight of d equally weighted objects is 40 pounds, how much does each individual object weigh?

(1) If the weight of each object was 25% greater, then the total weight would have been 10 pounds greater.
(2) If the weight of each object was 1/4 of pound less, the total weight would have been 7.5 pounds less.
[Reveal] Spoiler: OA

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Kudos [?]: 128915 [0], given: 12183

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Kudos [?]: 4 [0], given: 50

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Re: If the total weight of d equally weighted objects is 40 pounds, how [#permalink]

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New post 03 Oct 2017, 00:26
My answer is D

Weight of each object = 40/d

st (1): (40/d)*1.25 - 10 = 40/d => we can find d
st (2): (40/d)*0.75 + 7.5 = 40/d => we can find d

Kudos [?]: 4 [0], given: 50

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Joined: 29 Aug 2017
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Kudos [?]: 1 [0], given: 28

Re: If the total weight of d equally weighted objects is 40 pounds, how [#permalink]

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New post 03 Oct 2017, 23:15
Bunuel wrote:
If the total weight of d equally weighted objects is 40 pounds, how much does each individual object weigh?

(1) If the weight of each object was 25% greater, then the total weight would have been 10 pounds greater.
(2) If the weight of each object was 1/4 of pound less, the total weight would have been 7.5 pounds less.



Total weight - 40
Weight of each - w = 40/d = ?
i.e., w = ? or d = ?

Statement 1:
Weight of each of the equally weighted objects is increased by 25% => total weight is also increased by 25%
40 increased by 25% is 50 which is 10 pounds greater.
Irrespective of the value of d, this is always true.
So, this statement is not sufficient.

Statement 2:
(w - 0.25)d = 40 - 7.5 = 32.5
(40/d - 0.25)d = 32.5
40 - 0.25d = 32.5
Value of d can be found out and thus weight of each object as it is equal to 40/d.

Hence, answer is B.

Kudos [?]: 1 [0], given: 28

Re: If the total weight of d equally weighted objects is 40 pounds, how   [#permalink] 03 Oct 2017, 23:15
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If the total weight of d equally weighted objects is 40 pounds, how

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