MP Board · Class 8 · Mathematics · Direct and Inverse ProportionsIf $x$ and $y$ are in direct proportion and when $x = 4$, $y = 16$. Find $y$ when $x = 9$.
Step-by-Step Solution
For direct proportion, $\frac{x_1}{y_1} = \frac{x_2}{y_2}$. So, $\frac{4}{16} = \frac{9}{y} \implies \frac{1}{4} = \frac{9}{y} \implies y = 36$.
Detailed Options Breakdown
Option : 18
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 1: 20
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 2: 36 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: 64
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
💡 Study Guide: This question tests core syllabus concepts from Direct and Inverse Proportions. For formulas, key summaries, and mock exam reference guides, read the full Direct and Inverse Proportions Revision Notes.