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Directions (Q. No. 1 – 2) : BMI is defined as being the mass of a person (in kg) divided by the square of the height (in metres). The data about 5 persons has been given in the table below.
Person Height (m) Weight (kg)
A 1·45 45
B 1·50 50
C 1·55 55
D 1·70 60
E 1·80 70
Based on this data answer the questions below :
If an adolescent’s height increases by 10% and his mass by 10%, by how much will his BMI change ?
Plus 11%
Plus 10%
Minus 9%
Minus 10%
- BMI is calculated as weight (in kg) divided by the square of height (in meters).
- If both weight and height increase by 10%, the new height is 1.1 times the original height, and the new weight is 1.1 times the original weight.
- The new BMI would be calculated as:
$$
\text{New BMI} = \frac{1.1 \times \text{Original Weight}}{(1.1 \times \text{Original Height})^2}
- This simplifies to:
\text{New BMI} = \frac{1.1 \times \text{Original Weight}}{1.21 \times (\text{Original Height})^2} = \frac{1.1}{1.21} \times \text{Original BMI}
- Calculate the percentage change:
\text{Percentage change} = \left(\frac{1.1}{1.21} - 1\right) \times 100\% \approx -9.09\%
- Therefore, the BMI decreases by approximately 9%.
Correct Answer: Option 3, Minus 9%
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