Given the following table, find Walsh’s Price Index Number by com… - Vidyadip

Question

Given the following table, find Walsh’s Price Index Number by completing the activity.

Commodity	$p_0$	$q_0$	$p_1$	$q_1$	$q_0q_1$	$\sqrt{ q _0 q _1}$	$p _0 \sqrt{q_0 q_1}$	$p _1 \sqrt{ q _0 q _1}$
I	20	9	30	4	36	$\square$	$\square$	180
II	10	5	50	5	$\square$	5	50	$\square$
III	40	8	10	2	16	$\square$	160	$\square$
IV	30	4	20	1	$\square$	2	$\square$	40
Total	–	–	–	–			390	$\square$

Walsh's price Index Number is
$ P _{01}( W )=\frac{\square}{\sum p _0 \sqrt{ q _0 q _1}} \times 100$
$=\frac{510}{\square} \times 100$
$=\square $

✓

Answer

Commodity	$p_0$	$q_0$	$p_1$	$q_1$	$q_0q_1$	$\sqrt{ q _0 q _1}$	$p_0 \sqrt{q_0 q_1}$	$p _1 \sqrt{ q _0 q _1}$
I	20	9	30	4	36	6	120	180
II	10	5	50	5	25	5	50	250
III	40	8	10	2	16	4	160	40
IV	30	4	20	1	4	2	60	40
Total	–	–	–	–			390	510

Walsh's price Index Number is
$ P_{01}(W)=\frac{\sum p_1 \sqrt{q_0 q_1}}{\sum p_0 \sqrt{q_0 q_1}} \times 100$
$=\frac{510}{390} \times 100$
$=130.77 $

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