A and B are two fixed points 5 cm apart and c is a point on AB such that AC = 3 cm. If the length of AC is increased by 6 % the length of CB is decreased by ?

A.  7 %
B.  8 %
C. 9 %
D.  6 %

AC = 3cm, CB = (5 – 3)cm = 2 cm

New length AC = 106 % of 3 cm

= (106/100 ×3) cm = 3.18 cm.

New length CB = (5 – 3.18) cm = 1.82 cm

CB Decreased on 2cm = (2 – 1.82)cm = 0.18cm

CB Decrease % = (0.18/2 ×100) % = 9 %

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