Question

A housewife uses 10 kg of wheat, 20 kg of Fuel, 5 kg of Sugar, and 2 kg of oil. Prices (per kg) of these items are ₹1.50, 50 paise, ₹ 2.80 and ₹10 respectively. Taking quantities used as weights find out the weighted arithmetic average of the prices.

Answer 1

The information given in the question can be summarised as follows.

Price (X)	Quantity (W)	WX
1.5 0.5 2.8 10	10 20 5 2	15 10 14 20
	∑W = 37	∑WX = 59

$$\begin{gathered} {\overline{X}}_W=\frac{\Sigma WX}{\Sigma W} \\ =\frac{59}{37}=1.59 \end{gathered}$$
Hence, the weighted average of the prices is Rs 1.59