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Question

Mathematics Question on Financial Mathematics

Given that p0q0∑p_0q_0 = 700, p0q1∑p_0q_1 = 1450, p1q0∑p_1q_0 = 855 and p1q1∑p_1q_1 = 1300. Where subscripts 0 and 1 are used for the base year and a current year respectively. The Laspeyer's price index number is:

A

118.46

B

119.35

C

120.23

D

122.14

Answer

122.14

Explanation

Solution

Based on the given information we can calculate,

Laspeyer's price index number is

= P1Q0P0Q0×100\frac {\sum P_1Q_0 }{\sum P_0Q_0} \times 100

= 855700×100\frac{855}{700} \times100

= 122.14122.14

Hence, the correct option is (D): 122.14122.14