The length of a rectangular increased by 10% and it;s breadth is decreased by 1

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Question

The length of a rectangular increased by 10% and it;s breadth is decreased by 10 %. Then the area of the new rectangle is

Options:

A . Neither increased nor decreased

B . Increased by 1%

C . Decreased by 1%

D . Decreased by 10%

Answer: Option C

Length of the be let 'l' units and breadth be b units
Area =lb sq. Units
Now length =(110/100 l) = 11l/10
New breadth =(90/100 b)
= 96/10
Now area (11l/10 x 96/10)Sq.units = (99/100 lb)sq.unit
Area decreased = (lb -99/100 lb)sq.units =lb/100 sq.Units
Percentage decreased =(lb/100 x 1/lb x 100)% = 1%

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