Calculate (a) Laspeyre's and (b) Paasche's Price Index Numbers for the following data :CommodityBase Year PriceBase Year QuantityCurrent Year PriceCurrent Year QuantityP12201824Q14122116R8101218S16152025

Q.6 (B) (ii) Calculate (a) Laspeyre's and (b) Paasche's Price Index Numbers for the following data :

Commodity	Base Year Price	Base Year Quantity	Current Year Price	Current Year Quantity
P	12	20	18	24
Q	14	12	21	16
R	8	10	12	18
S	16	15	20	25

Doubtly Asked 28 Oct 2026 Board exam · March 2026 hsc 12th Save WhatsApp Report

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Answer: (a) Laspeyre's \(P_{01}(L)\approx 141.76\) (b) Paasche's \(P_{01}(P)\approx 140.53\)

Commodity	\(p_0\)	\(q_0\)	\(p_1\)	\(q_1\)	\(p_1q_0\)	\(p_0q_0\)	\(p_1q_1\)	\(p_0q_1\)
P	12	20	18	24	360	240	432	288
Q	14	12	21	16	252	168	336	224
R	8	10	12	18	120	80	216	144
S	16	15	20	25	300	240	500	400
Total					1032	728	1484	1056

(a) \(P_{01}(L)=\frac{\Sigma p_1q_0}{\Sigma p_0q_0}\times 100=\frac{1032}{728}\times 100\approx 141.76\)

(b) \(P_{01}(P)=\frac{\Sigma p_1q_1}{\Sigma p_0q_1}\times 100=\frac{1484}{1056}\times 100\approx 140.53\)

Doubtly AI · 28 Oct 2026 AI-verified · Oct 2026 Report

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