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Question 36 of 45
Q.

The chain base index numbers of sales of a certain type of scooter from the year 2020 to 2024 are as follows. Find fixed base index numbers :

Year20202021202220232024
Index Number of Sale110112109108105
Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2025Subjective· 3mImportance★★★★★
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Chaining forward with F.B.I. =C.B.I.current×F.B.I.previous100= \dfrac{\text{C.B.I.}_{\text{current}} \times \text{F.B.I.}_{\text{previous}}}{100} (2020 base =110= 110): 110, 123.20, 134.29, 145.03, 152.28.

GSEB Class-12 Statistics, Index Number:

To convert chain base index (C.B.I.) numbers to fixed base index (F.B.I.) numbers, keep the first year's index as the base and chain forward:

F.B.I. of current year=C.B.I. of current year×F.B.I. of previous year100\text{F.B.I. of current year} = \frac{\text{C.B.I. of current year} \times \text{F.B.I. of previous year}}{100}

YearC.B.I.Fixed base index (F.B.I.)
2020110110110 (base)
2021112112×110100=123.20\dfrac{112 \times 110}{100} = 123.20

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