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# This morning, a certain sugar container was full

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This morning, a certain sugar container was full [#permalink]

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24 Aug 2014, 21:36
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This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease ?

1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

2) Six cups of sugar from the container were used to make the cookies

Can any explain in multipliers form
Mean 30% = 0.30
[Reveal] Spoiler: OA

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Last edited by Gnpth on 24 Aug 2014, 21:37, edited 1 time in total.
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Re: This morning, a certain sugar container was full [#permalink]

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24 Aug 2014, 21:49
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kanusha wrote:
This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease ?

1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

2) Six cups of sugar from the container were used to make the cookies

Can any explain in multipliers form
Mean 30% = 0.30

Normally we don't need assign any values in DS problems, variables should be fine.

Now, let X be the amount of sugar in the container when it was full.

St1 says that we need increase 30% to fill the container.

Let A be the amount removed.

Now. (X-A)0.30 + (X-A)= X.

1.3(X-A)= X. We dont need to solve till last step in DS. This will give us one definite value for A.

So St-1 is sufficient.

St.2) it doesn't give us any other information. a cup can be 1gm or 20 gm, or even 1000gm. since we don't have definite value, It is insufficient.

So the answer is A. Hope it helps.
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This morning, a certain sugar container was full [#permalink]

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15 Sep 2014, 02:50
This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease ?

1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

2) Six cups of sugar from the container were used to make the cookies

----------

Let original amount of sugar was N
x unit is taken from the jar.

Statement 1 says : $$\frac{3}{10} (N-x) = x$$
$$\frac{N}{x} = \frac{13}{3}$$

Statement 1 is sufficient.

Statement 2 is clearly not sufficient.

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Re: This morning, a certain sugar container was full [#permalink]

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02 Nov 2015, 23:12
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Re: This morning, a certain sugar container was full [#permalink]

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08 Nov 2015, 04:46
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Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease ?

1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

2) Six cups of sugar from the container were used to make the cookies

We only have one variable as we only need to know the percentage of sugar if we let the total be 100%. There are 2 equations given from the 2 conditions, so there is high chance (D) will be our answer.
From condition 1, if we let the amount of sugar left be X, 1.3X=100%, so this is sufficient.
For condition 2, there is no relationship between percentage and number, so this is insufficient and the answer is (A).

from con 1) and con 2), if one of the conditions is given by numbers and the other is given by ratio (percent,fraction), then the condition with ratio (percent,fraction) value has higher chance of being the answer
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This morning, a certain sugar container was full [#permalink]

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12 Jun 2016, 06:58
kanusha wrote:
This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease ?

1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

2) Six cups of sugar from the container were used to make the cookies

Can any explain in multipliers form
Mean 30% = 0.30

here everything talking in percentage..it is better to take any comfortable value i take 100gms of sugar is initially in container.
(1)let x gms is removed so adding 30% to 100-x gms will again be 100
(100-x)(1+30/100)=100
it will yield into some value of x gms.
so we can give a YES to our ans to the ques .asked.
(2) no info about quantity of cups..
insuff...
Ans A

Last edited by rohit8865 on 18 Jun 2016, 10:21, edited 1 time in total.
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Re: This morning, a certain sugar container was full [#permalink]

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18 Jun 2016, 08:06
Gnpth wrote:
kanusha wrote:
This morning, a certain sugar container was full. Since then some of the sugar from this container was used to make cookies. If no other sugar was removed from or added to the container, by what percent did the amount of sugar in the container decrease ?

1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

2) Six cups of sugar from the container were used to make the cookies

Can any explain in multipliers form
Mean 30% = 0.30

Normally we don't need assign any values in DS problems, variables should be fine.

Now, let X be the amount of sugar in the container when it was full.

St1 says that we need increase 30% to fill the container.

Let A be the amount removed.

Now. (X-A)0.30 + (X-A)= X.

1.3(X-A)= X. We dont need to solve till last step in DS. This will give us one definite value for A.

So St-1 is sufficient.

St.2) it doesn't give us any other information. a cup can be 1gm or 20 gm, or even 1000gm. since we don't have definite value, It is insufficient.

So the answer is A. Hope it helps.

Can someone solve this completely!
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Re: This morning, a certain sugar container was full [#permalink]

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01 May 2017, 01:24
Hi All,

Given:

+Morning = Full = x

+Change = Amount of sugar used = Unknown

+After = y (y < x)

(1) The amount of sugar in the container after making the cookies would need to be increased by 30 percent to fill the container

=> Change = 30% of x = 0.3x => y = x - 0.3x = 0.7x

=> [(x-y)/x]*100 = [(x - 0.7x)/x]*100 => Sufficient

(2) Six cups of sugar from the container were used to make the cookies

What is total amount of six cups of sugar? We do not know => Insufficient

Many thanks.
Re: This morning, a certain sugar container was full   [#permalink] 01 May 2017, 01:24
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