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Fresh Mango contains 70% water by weight whereas dry mango contains 10

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Bunuel
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Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  18 Nov 2020, 09:36
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Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?


A. 6 Kg

B. \(6 \frac{2}{3}\) Kg

C. 6.84 Kg

D. 7 Kg

E. \(7 \frac{2}{3}\) Kg
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  18 Nov 2020, 09:52
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20 kg fresh mango has 14 kgs water and 6 kgs rest
so 6 kgs = 90% of weight of dry mango
or say 6/90 *100 ; 1/15 * 100 ; 6.67 kgs
option B
Bunuel wrote:
Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?


A. 6 Kg

B. \(6 \frac{2}{3}\) Kg

C. 6.84 Kg

D. 7 Kg

E. \(7 \frac{2}{3}\) Kg
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  18 Nov 2020, 10:06
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Bunuel wrote:
Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?


A. 6 Kg

B. \(6 \frac{2}{3}\) Kg

C. 6.84 Kg

D. 7 Kg

E. \(7 \frac{2}{3}\) Kg


So, make it easy - consider total as 100%
Fresh Mango - (70% water + 30% Mango)
Dry Mango - (10% Water + 90% Mango)

What is the relation between fresh mango and dry mango --> it is 30% : 90% = 1:3 (remember here - we don't have to bother about the water, its variable quantity but mango is fixed)

Use 1:3 ratio = Fresh:Dry Mango to find the necessary answer. Putting Fresh as 20 Kg, you will get Dry mango as \(6 \frac{2}{3}\) Kg - Which is option B.

Smash those kudos :thumbsup: :) if you like the explanation ;)
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  24 Nov 2020, 13:44
Bunuel wrote:
Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?


A. 6 Kg

B. \(6 \frac{2}{3}\) Kg

C. 6.84 Kg

D. 7 Kg

E. \(7 \frac{2}{3}\) Kg


Amount of Pure Mango remains constant only water evaporates.

\(\frac{30}{100}*20=\frac{90}{100}*x\)

hence-\(x=\frac{20}{3}= 6\frac{2}{3}\)

Or if we consider water then:

Let W is the amount of pure water evaporated then form an equation with only water.

\(\frac{70}{100}*20 -w = \frac{10}{100}(20-w)\)

Where \(\frac{70}{100}*20 \)= initial quantity of water in 20Kg Mango
\(w-\) amount of water that evaporates
\(\frac{10}{100}(20-w) \)= amount of water that should remain in dry mango

\(w= \frac{40}{3}\)

Hence weight of Dry mango: \(20 -\frac{40}{3}=\frac{20}{3}= 6\frac{2}{3}\)

Hope it helps.
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  24 Nov 2020, 14:25
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CONCEPT: Percentages

-Consider anything complete as 100%.

-Identify and use the “constant” in a question (“Pulp” here that doesn’t change. The amount of
water though varies)

SOLUTION:

Amount of water in 20kgs of fresh mangoes=0.7*20=14kg.

Thus, amount of pulp=20 – 14=6kg.

This amount of pulp is also present in the dry mangoes and makes 90% of its weight. Thus 90% of the weight of dry mangoes=6kg

100% of the weight of dry mangoes=6/90*100 =6.66kg (B)

Hope this helps. Keep studying. Keep growing. :)
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  25 Nov 2020, 00:22
The question wording is slightly confusing. "We need to find the amount of dry mangoes that will yield an equivalent amount of pulp as 20kg fresh mangoes" If you read it like this, its pretty clear.

20kg fresh mangoes give 6kg pulp. Dry mangoes have 90% pulp. So qty of dry mangoes = 6/90% = 6.67 i.e. B
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  30 Nov 2020, 11:36
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Bunuel wrote:
Fresh Mango contains 70% water by weight whereas dry mango contains 10% water by weight. What is the weight of dry mango that can be obtained from 20 kg of Fresh Mango?


A. 6 Kg

B. \(6 \frac{2}{3}\) Kg

C. 6.84 Kg

D. 7 Kg

E. \(7 \frac{2}{3}\) Kg

Solution:

In 20 kg of fresh mangoes, 0.7 x 20 = 14 kg are water, and thus 6 kg are the “meat” of the mangoes. Since only water evaporates, the 6 kg of mango meat still remains and they constitute 90% of the weight of the dry mangoes (recall that the remaining 10% is water). Therefore, the total weight of the dry mangoes is 6/0.9 = 60/9 = 6 6/9 = 6 ⅔ kg.

Answer: B
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink] New post  30 Nov 2020, 13:04
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Given

    • Fresh Mango contains 70% water by weight whereas.
    • Dry mango contains 10% water by weight.


To Find

    • The weight of dry mango that can be obtained from 20 kg of Fresh Mango
Approach and Working Out


    • 20 kg of fresh mango will have the non-water part as 30%.
      o 30% of 20 kg = 6 kg.

    • Dry mango has 90% non-water part.
      o Hence, 90% must be equivalent to 6kg.
      o 100% will be \(\frac{(6 × 100)}{90}\)
      o 6 \(\frac{2}{3 }\) kg

Correct Answer: Option B
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Re: Fresh Mango contains 70% water by weight whereas dry mango contains 10 [#permalink]
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