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Question

An index of 12 shares contains, among others, the shares of Reliance, HLL, and Infosys with weightage of 7%, 13%, and 15% respectively. What is the increase in the prices of other shares, if these three rises by 9%, 10%, and 4% respectively, while the index rises by 6%?

A
5.34%
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B
4.91%
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C
4.58%
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D
Cannot be determined
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Solution

The correct option is A 5.34%
Let the value of Index = 100
Value of Reliance share = 7
Value of HLL = 13
Value of Infosys = 15
Value of remaining = 65
New value of Reliance = 7.63
New value of FILL = 14.3
New value of Infosys = 15.60
New value of remaining = 68.47
Hence, required percentage =3.4765×100=5.34%

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