A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3cm. if the length of AC is increased by 6%, the length of CB is decreased by	Select
A) 6%	B) 7%	C) 8%	D) 9%	E) None
Solution: As A and B are fixed, C is any point on AB, so if AC is increases then CB decreases.   A________3 cm_________ C _____2 cm____B   Then, solution can be visualized as,   Increase in AC 6% = (106*3)/100= 
<gadget id="calculator">(106*3)/100</gadget>
<output>159/50 = around 3.18</output>
3.18 cm.   Decrease in CB= 0.18 cm   % decrease = (0.18/2)*100= 
<gadget id="calculator">(0.18/2)*100</gadget>
<output>9</output>
9%.   Alternatively,   AC= 3 Cm.   BC = 2 Cm.   Increase in AC by 6%, then   New, AC = 3 + 6% of 3 = 3 + 0.18= 
<gadget id="calculator">3 + 0.18</gadget>
<output>3.18</output>
3.18 cm.   0.18 cm increase in AC means 0.18 cm decrease in BC as already mentioned AB as the fixed point.   So, % decrease in BC,= (Actual Decrease in BC /Original BC)*100   = (0.18/2) *100= 
<gadget id="calculator">(0.18/2) *100</gadget>
<output>9</output>
9%.   Answer: Option 9%
<result>D</result>
A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3cm. if the length of AC is increased by 6%, the length of CB is decreased by