If L(p) and L(q) represent Laspeyres' index number for prices and quantities and P(p) and P(q) represents Paasche's index number for price and quantities then:

1
\(\dfrac{L(p)}{L(q)}=\dfrac{P(p)}{P(q)}\)
2
\(\dfrac{L(p)}{L(q)}=\dfrac{P(q)}{P(p)}\)
3
\(\dfrac{L(p)}{L(q)}>\dfrac{P(p)}{P(q)}\)
4
\(\dfrac{L(p)}{L(q)}<\dfrac{P(p)}{P(q)}\)

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