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Fresh dates contain 90% water while dry dates contain 28%

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Joined: 07 Feb 2017
Posts: 25
Re: Fresh dates contain 90% water while dry dates contain 28%  [#permalink]

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New post 20 Mar 2019, 20:11
prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg



We know the mass of the non-water part is the same in the initial and final product, so we can equate them

let the weights of dates be, \(W_i\) and \(W_f\)
and concentrations of non-water part be \(C_i\) and \(C_f\)

since the mass is same,
\(W_i\) * \(C_i\) = \(W_f\)*\(C_f\)
\(W_i\) * 10 = \(W_f\) * 72
\(\frac{W_i}{W_f} = \frac{36}{5}\)
Thus, \(W_f\) = 5 kg
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Re: Fresh dates contain 90% water while dry dates contain 28%  [#permalink]

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New post 05 Aug 2019, 11:07
prat29 wrote:
Fresh dates contain 90% water while dry dates contain 28% water . How many kg of dry dates can be obtained from 36kg of fresh dates ?

A. 5Kg
B. 10Kg
C. 12 Kg
D. 6Kg


fresh dates = 90% water and 10% weight
dry dates; 28% water and 72% weight
so 36 kgs of fresh dates has 3.6 kg weigh
.72*x=3.6
5kgs
IMO A
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Re: Fresh dates contain 90% water while dry dates contain 28%   [#permalink] 05 Aug 2019, 11:07

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