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  1. A and B are two fixed points 5 cm apart and C is a point on AB such that AC is 3 cm. If the length of AC is increased by 6%, the length of CB is decreased by
    1. 6%
    2. 7%
    3. 8%
    4. 9%
Correct Option: D


Increase in AC = 6%

∴ Increased AC =
106
× 3 = 3.18 cm
100

∴ Decreased CB = 5 – 3.18 = 1.82 cm.
∴ Decrease = 2 – 1.82 = 0.18 cm
∴ Percentage decrease
=
0.18
× 100 = 9%
2



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