Question
A line segment AB is 15 cm long. A point C is chosen on
AB so that AC = 9 cm. If AC is increased by 10%, by how much percent does the length of CB decrease?Solution
ATQ,
AB = 15 cm
AC = 9 cm
Therefore, CB = 15 – 9 = 6 cm
New AC = 1.10 × 9 = 9.9 cm
New CB = 15 – 9.9 = 5.1 cm
Percentage decrease = {(6 - 5.1)/6} × 100 = 15%
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