Proportional Reasoning-2Class 8 Mathematics Assertion & Reason Questions

Assertion (A): The ratios $3:5$ and $6:10$ are proportional.

Reason (R): Two ratios $a:b$ and $c:d$ are proportional if the product of the extremes equals the product of the means, i.e., $a \times d = b \times c$.

Assertion (A): If 10 workers can complete a job in 12 days, then 8 workers will complete the same job in 15 days.

Reason (R): The number of workers and the time taken to complete a job are in inverse proportion, meaning if $(x_1, y_1)$ and $(x_2, y_2)$ are corresponding values, then $x_1 y_1 = x_2 y_2$.

Assertion (A): To divide ₹150 in the ratio $2:3$, the two parts are ₹60 and ₹90.

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