Comprehension

refer to the pie-chart given below

Question: 1

What fraction of Ghosh Babu's weight consists of muscular and skin protein?

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When working with percentage distribution problems, always multiply the percentage of the total category by the percentage share within the category to find the percentage of the total. Convert this to a fraction for the final answer.
Updated On: Aug 5, 2025
  • $\frac{1}{13}$
  • $\frac{1}{30}$
  • $\frac{1}{20}$
  • Cannot be determined
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The Correct Option is B

Solution and Explanation

From the first pie chart, we know that the total protein content in Ghosh Babu’s body is $15%$ of his total body weight.
From the second pie chart, we know that this total protein is distributed among various organs:
- Skin: $8%$ of total protein weight
- Bones: $15%$ of total protein weight
- Muscles: $25%$ of total protein weight
- Other proteins: $52%$ of total protein weight
We are asked about muscular and skin protein combined.
Muscle protein share = $25%$ of total protein weight.
Skin protein share = $8%$ of total protein weight.
Therefore, the combined percentage of protein (relative to total protein weight) from muscle and skin is:
$25% + 8% = 33%$ of the total protein.
Now, the protein content itself is $15%$ of the total body weight.
Thus, muscular + skin protein = $33%$ of $15%$ of body weight.
Calculation:
$0.33 \times 0.15 = 0.0495$ of total body weight.
In fractional form:
$0.0495 \approx \frac{1}{20.2}$ but exactly,
$\frac{33}{100} \times \frac{15}{100} = \frac{495}{10000} = \frac{99}{2000}$.
Now, $\frac{99}{2000} = \frac{1}{20.202...}$, but among the given options, the closest exact match is $\frac{1}{30}$? Wait, let's check:
Actually, $33%$ means $\frac{33}{100}$ and $15%$ means $\frac{15}{100}$.
Multiplication gives: $\frac{33 \times 15}{100 \times 100} = \frac{495}{10000}$.
This is $\frac{99}{2000}$. In decimal: $0.0495$.
$0.0495$ in fractional approximation is close to $\frac{1}{20}$.
Rechecking the given options — correct nearest fraction match to $0.0495$ is actually $\frac{1}{20}$.
So the answer should be option (C) $\frac{1}{20}$.
\(\boxed{\text{Correct Answer: (C) $\frac{1}{20}$}}\)
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Question: 2

Ratio of distribution of protein in muscle to the distribution of protein in skin is:

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For ratio problems, always compare values in the same units and simplify only when possible. Approximate if exact simplification is not possible and the question permits.
Updated On: Aug 5, 2025
  • $3:1$
  • $3:10$
  • $1:3$
  • $3\frac{1}{2}:1$
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The Correct Option is A

Solution and Explanation

From the second pie chart, protein distribution in:
- Muscles = $25%$ of total protein weight.
- Skin = $8%$ of total protein weight.
We take the ratio:
Muscle : Skin = $25 : 8$.
Now, $25:8$ simplifies by dividing both numbers by their GCD (which is 1), so it remains $25:8$.
However, if we express $25:8$ approximately in whole number ratio form with small integers, we get:
$25 \div 8 \approx 3.125 \Rightarrow \text{about } 3:1$.
Given the options, the ratio is best represented as $3:1$.
\(\boxed{\text{Correct Answer: (A) $3:1$}}\)
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Question: 3

What percent of Ghosh Babu’s body weight is made up of skin?

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Always remember to multiply the category percentage by the subgroup percentage to get the overall percentage.
Updated On: Aug 5, 2025
  • $0.15$
  • $10$
  • $1.2$
  • Cannot be determined
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The Correct Option is C

Solution and Explanation

Total protein in the body = $15%$ of body weight.
Skin protein share = $8%$ of the protein weight.
Therefore, percentage of total body weight made up of skin protein is:
$8%$ of $15%$ = $\frac{8}{100} \times \frac{15}{100} = \frac{120}{10000} = 0.012$.
Converting to percentage:
$0.012 \times 100 = 1.2%$.
Hence, skin accounts for $1.2%$ of the total body weight.
\(\boxed{\text{Correct Answer: (C) 1.2}}\)
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Question: 4

In terms of total body weight, the portion of material other than water and protein is closest to:

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For "other than" type percentage problems, simply subtract the given category percentages from 100% or directly use the remaining category’s percentage.
Updated On: Aug 5, 2025
  • $\frac{3}{20}$
  • $\frac{1}{15}$
  • $\frac{85}{100}$
  • $\frac{1}{20}$
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The Correct Option is A

Solution and Explanation

From the first pie chart:
- Water = $70%$ of total body weight.
- Protein = $15%$ of total body weight.
- Other dry material = $15%$ of total body weight.
The portion other than water and protein is exactly the "Other dry material" category.
Therefore:
Portion = $15% = \frac{15}{100} = \frac{3}{20}$.
\(\boxed{\text{Correct Answer: (A) $\frac{3}{20}$}}\)
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