MP Board · Class 8 · Mathematics · Direct and Inverse ProportionsIf $x$ and $y$ are in inverse proportion and when $x = 6$, $y = 8$. Find $y$ when $x = 4$.
Step-by-Step Solution
For inverse proportion, $x_1 y_1 = x_2 y_2$. So, $6 \times 8 = 4 \times y \implies 48 = 4y \implies y = 12$.
Detailed Options Breakdown
Option : 12 (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 1: 10
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 2: 16
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Direct and Inverse Proportions.
Option 3: 24
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.