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.

200

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

230

No worries! We‘ve got your back. Try BYJU‘S free classes today!

300

No worries! We‘ve got your back. Try BYJU‘S free classes today!

180

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A 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 = $\frac{85}{100} \times x = 170$
$∴$ x = $\frac{170 x 100}{85}$

x = 200 m

Suggest Corrections

Similar questions

Q. The length of the ribbon was originally

30 c m

. It was reduced in the ratio

5 : 3

. What is its length now?

The price of an article decreased twice successively, first by $30 %$ and then by $40 %$ .Ifthe original price was Rs.1000, what is it now?

Q. A piece of elastic was stretched by

24

% to a length of

31

cm. Find its unstretched original length.

The length of a rope is 2 m and its diameter is 1 cm. The ratio of the length of the rope to its diameter is _____.

When the length of a rectangular plot is increased by four times, its perimeter becomes 540 metre and its area becomes 14000 sq. metre. The original length was -

Join BYJU'S Learning Program

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.

The correct option is A 200Present 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 =85100×x=170 ∴ x = 170x10085 x = 200 m

The correct option is A 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 = $\frac{85}{100} \times x = 170$
$∴$ x = $\frac{170 x 100}{85}$

x = 200 m