Question:
The pie chart presents the percentage contribution of different macronutrients to a typical \( 2,000 \, \text{kcal} \) diet of a person.
The typical energy density(kcal/g) of these macronutrients given in the table
The total fat (all three types), in grams, this person consumes is:
The pie chart presents the percentage contribution of different macronutrients to a typical \( 2,000 \, \text{kcal} \) diet of a person.
The typical energy density(kcal/g) of these macronutrients given in the table
The total fat (all three types), in grams, this person consumes is:
Show Hint
When solving macronutrient percentage and energy calculations, always ensure to:
1. Convert percentage contributions into total energy values.
2. Use the correct energy density (kcal/g) to find the mass of the macronutrient.
Updated On: Jan 30, 2025
- \( 44.4 \)
- \( 77.8 \)
- \( 100 \)
- \( 3,600 \)
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Determine the percentage contribution of total fat.
From the pie chart, the contributions of different types of fat are: - Unsaturated fat: \( 20\% \) - Saturated fat: \( 20\% \) - Trans fat: \( 5\% \) The total fat contribution is: \[ \text{Total fat percentage} = 20\% + 20\% + 5\% = 45\%. \] Step 2: Calculate the total energy from fat.
The total energy from fat is: \[ \text{Energy from fat} = 45\% \times 2,000 \, \text{kcal} = \frac{45}{100} \times 2,000 = 900 \, \text{kcal}. \] Step 3: Convert energy to grams of fat.
From the table, the energy density of fat (unsaturated, saturated, and trans fat) is \( 9 \, \text{kcal/g} \). The total fat in grams is: \[ \text{Total fat (grams)} = \frac{\text{Energy from fat}}{\text{Energy density of fat}} = \frac{900}{9} = 100 \, \text{grams}. \] Conclusion: The total fat consumed is \( 100 \, \text{grams} \).
From the pie chart, the contributions of different types of fat are: - Unsaturated fat: \( 20\% \) - Saturated fat: \( 20\% \) - Trans fat: \( 5\% \) The total fat contribution is: \[ \text{Total fat percentage} = 20\% + 20\% + 5\% = 45\%. \] Step 2: Calculate the total energy from fat.
The total energy from fat is: \[ \text{Energy from fat} = 45\% \times 2,000 \, \text{kcal} = \frac{45}{100} \times 2,000 = 900 \, \text{kcal}. \] Step 3: Convert energy to grams of fat.
From the table, the energy density of fat (unsaturated, saturated, and trans fat) is \( 9 \, \text{kcal/g} \). The total fat in grams is: \[ \text{Total fat (grams)} = \frac{\text{Energy from fat}}{\text{Energy density of fat}} = \frac{900}{9} = 100 \, \text{grams}. \] Conclusion: The total fat consumed is \( 100 \, \text{grams} \).
Was this answer helpful?
0
0
Top GATE NM General Aptitude Questions
- If \( \rightarrow \) denotes increasing order of intensity, then the meaning of the words [dry \( \rightarrow \) arid \( \rightarrow \) parched] is analogous to [diet \( \rightarrow \) fast \( \rightarrow \) \(\_\_\_\_\_\_\_\_\)]. Which one of the given options is appropriate to fill the blank?
- If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:
- Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:
- The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is:
- For positive non-zero real variables \( p \) and \( q \), if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
View More Questions
Top GATE NM mathematical reasoning Questions
- If \( \rightarrow \) denotes increasing order of intensity, then the meaning of the words [dry \( \rightarrow \) arid \( \rightarrow \) parched] is analogous to [diet \( \rightarrow \) fast \( \rightarrow \) \(\_\_\_\_\_\_\_\_\)]. Which one of the given options is appropriate to fill the blank?
- If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:
- Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:
- The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is:
- For positive non-zero real variables \( p \) and \( q \), if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
View More Questions
Top GATE NM Questions
- If \( \rightarrow \) denotes increasing order of intensity, then the meaning of the words [dry \( \rightarrow \) arid \( \rightarrow \) parched] is analogous to [diet \( \rightarrow \) fast \( \rightarrow \) \(\_\_\_\_\_\_\_\_\)]. Which one of the given options is appropriate to fill the blank?
- If two distinct non-zero real variables \( x \) and \( y \) are such that \( (x + y) \) is proportional to \( (x - y) \), then the value of \( \frac{x}{y} \) is:
- Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:
- The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is:
- For positive non-zero real variables \( p \) and \( q \), if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of \( \frac{p^4 + q^4}{p^2 q^2} \) is:
View More Questions