Question

If 9 kg of sugar costs Rs 166.50, how much sugar can be bought for Rs 259?

Answer 1

Let the required weight of sugar be x kg. Then, we have:

Weight of sugar (in kg)	9	x
Cost of sugar (in rupees)	166.50	259

Clearly, more quantity of sugar can be bought for more amount of money.
So, this is a case of direct proportion.
$$\begin{gathered} \mathrm{Now},\frac{9}{166.50}=\frac{x}{259} \\ \Rightarrow x=\frac{9\times 259}{166.50} \\ \Rightarrow x=\frac{9\times 259\times 100}{16650} \\ \Rightarrow x=14 \end{gathered}$$

Therefore, 14 kg of sugar can be bought for Rs 259.