Question

The length of a rope is decreased by 15% after it was cut. If its length now is 170 m, then its original length was m.

• A. 180
• B. 300
• C. 200
• D. 230

Answer 1

The correct option is C 200

Present length of the rope = 170 m
170 = 85% of the total length, since there is a 15% decrease in the original length.
Let the original length of the rope be "x" m.
85% of x = 170 =$\frac{85}{100}\times x=170$
$\therefore$ x = $\frac{170x100}{85}$

x = 200 m