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100 grams Rosewater is 99% water by weight. After some of the water ev

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100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink] New post   16 Jul 2018, 09:32
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100 grams Rosewater is 99% water by weight. After some of the water evaporates, the rosewater is now 98% water by weight. What is the new weight of the rosewater, in grams?

A) 2
B) 50
C) 92
D) 96
E) 98
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Re: 100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink] New post   16 Jul 2018, 10:13
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Harshgmat wrote:
100 grams Rosewater is 99% water by weight. After some of the water evaporates, the rosewater is now 98% water by weight. What is the new weight of the rosewater, in grams?

A) 2
B) 50
C) 92
D) 96
E) 98



100gms rosewater..
99% water means 99gm water and remaining 1gm is other part/rose
Now when water evaporates and 99% water becomes 98%, the other part becomes 2% but the weight remains 1gm..
So 2% of rosewater now =1gm
Or 100%=100*1/2=50gm

B
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Re: 100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink] New post   16 Jul 2018, 10:32
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Harshgmat wrote:
100 grams Rosewater is 99% water by weight. After some of the water evaporates, the rosewater is now 98% water by weight. What is the new weight of the rosewater, in grams?

A) 2
B) 50
C) 92
D) 96
E) 98



100 gms contains 99 gms water & 1 gms of rose essence

After evaporation of water let X be the weight of rose water

The rose essence is now 2%, hence, we have 1 = (2/100)* X

Solving we get, X = 50 gms


Answer B.



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GyM
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100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink] New post   16 Jul 2018, 13:26
Harshgmat wrote:
100 grams Rosewater is 99% water by weight. After some of the water evaporates, the rosewater is now 98% water by weight. What is the new weight of the rosewater, in grams?

A) 2
B) 50
C) 92
D) 96
E) 98


let x=weight of water lost to evaporation
.99(100)-x=.98(100-x)
x=1/.02=50 grams
100-50=50 grams=new weight of rosewater
B
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Re: 100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink] New post   19 Jul 2018, 12:33
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Harshgmat wrote:
100 grams Rosewater is 99% water by weight. After some of the water evaporates, the rosewater is now 98% water by weight. What is the new weight of the rosewater, in grams?

A) 2
B) 50
C) 92
D) 96
E) 98



Initially, we have 99 grams of water and 1 gram of rose. Let w = the amount of water that evaporates, and we can create the equation:

(99 - w)/(100 - w) = 98/100

100(99 - w) = 98(100 - w)

9900 - 100w = 9800 - 98w

100 = 2w

50 = w

We see that 50 grams of water evaporated, so the new weight of the rosewater is 100 - 50 = 50 grams.

Answer: B
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Re: 100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink] New post   01 Apr 2021, 11:34
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Re: 100 grams Rosewater is 99% water by weight. After some of the water ev [#permalink]
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