Question

If $100$ one rupee coins weigh $485\,g$, then how much will $10000$ coins weigh ?
A. 48500 g
B. 4850 g
C. 485000 g
D. 0.485 kg

Answer 1

Hint:When either their ratio or product generates a constant, two variable values are said to be in a proportionality relation multiplicatively related to a constant in mathematics. The coefficient of proportionality, or proportionality constant, is the value of this constant.

Complete step by step answer:
The unitary approach is a methodology for solving problems that involves first determining the value of a single unit and then multiplying that value by the required value. This approach is used to calculate the value of a unit based on the value of a multiple, and hence the value of a multiple.

Always write the items to be computed on the right-hand side and the items known on the left-hand side to simplify things. The quantity of apples is known in the issue above, but the worth of the apples is unknown. It's worth noting that this method's issues are solved using the ratio and proportion concepts.

Now from the question, 100 one rupee coins weigh 485 g which means 1 one rupee coin weigh $\dfrac{{485}}{{100}}\,g$ i.e 1 one rupee coin weigh $4.85\,g$.Now extrapolating the value to 10000 such coins we get 10000 one rupee coins weigh \[4.85{\text{ }} \times {\text{ }}10000\] g i.e 10000 one rupee coin weighs $48500\,g$.

Hence option A is correct.

Note:When the components of an equation, such as a, b, c, and d, are in proportion, the equation is said to be in proportion. Extremes a and d are referred to as extreme terms, whereas medium terms b and c are referred to as mean terms. In the ratio, the product of means equals the product of extremes. When the cross products of two ratios are equal, they are said to be equal.