Question

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

• A. $\frac{1}{13}$
• B. $\frac{1}{30}$
• C. $\frac{1}{20}$
• D. Cannot be determined

Hint:

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.

Answer 1

The Correct Option is B

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) $\frac{1}{20}$.
\(\boxed{\text{Correct Answer: (C) $\frac{1}{20}$}}\)