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If the area of a rectangular plot increase by 30% while its breadth remains same what will be the ratio  of the areas of new and old  figures ?


Options:
A .  1 : 3
B .  3 : 1
C .  4 : 7
D .  10 : 13
E .  None of these
Answer: Option E

Let  original length = `x` and original breadth = y.

Then original area = `xy`

New length = `130/100 x =  (13x)/(10)`

New breadth = y,     new area = `((13x)/(10) xx y) =  (13xy)/(10)`

`:.`     Required ratio  = `(((13xy)/(10))/(xy)) = 13/10` = 13 : 10.



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