Line AB = 5 cm, C on AB with AC = 4 cm. If AC increases by 6%, find % change in BC?
- 20% decrease
- 24% decrease
- 16% increase
- None of these
Explanation
Given:
AB = 5 cm
AC = 4 cm ⇒ BC = 1 cm
AC increases by 6%:
New AC = 4 × 1.06 = 4.24 cm
So new BC = 5 − 4.24 = 0.76 cm
Original BC = 1 cm
Change = 1 − 0.76 = 0.24 decrease
% change = (0.24 / 1) × 100 = 24% decrease
Last verified on 17-06-2026
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