Proportional Reasoning-1Class 8 Mathematics Assertion & Reason Questions

Assertion (A): The ratios $4:7$ and $12:21$ are proportional.

Reason (R): Two ratios are proportional if one can be obtained from the other by multiplying or dividing both terms by the same non-zero number.

Assertion (A): The simplest form of the ratio $90:60$ is $3:2$.

Reason (R): To reduce a ratio to its simplest form, we divide its terms by their LCM (Least Common Multiple).

Assertion (A): To divide a profit of ₹4,000 in the ratio $3:1$, the shares are ₹3,000 and ₹1,000.

Reason (R): To divide a quantity $x$ in the ratio $m:n$, the parts are $m \times \frac{x}{m+n}$ and $n \times \frac{x}{m+n}$.