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Find the average of decreased amount (in Rs.) of the items which have shown decrease.

A 3100

B 1333.33

C 1033.33

D 2033.33

E None of these

Solution

Correct Answer: Option C

Since it can be seen for the above pie chart that the expenses of the items A, D, and E decreases from 54o to 45o, 72o to 54o and 45o to 36o respectively

∴ Angle subtended by A, D, and E in 2012 = 54o + 72o + 45o = 171o

∵ Total amount spent in 2012 = Rs. 36000

∴ Amount spent on A, D, and E in 2012 \(= \frac{{171}}{{360}} \times 36000 = {\rm{Rs}}.17100\)

∴ Angle subtended by A, D, and E in 2013 = 36o + 54o + 36o = 126o

∵ Total amount spent in 2013 = Rs. 40000

∴ Amount spent on A, D, and E in 2013 \(= \frac{{126}}{{360}} \times 40000 = {\rm{Rs}}.14000\)

∴ Decreased amount of the items = 17100 – 14000 = Rs. 3100

∴ Average of decreased amount of the items A, D, and E = 3100/3 = 1033.33

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