the length of a rope decreased by 30% . Now it is 100m then find the original length.
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the length of a rope decreased by 30% . Now it is 100m then find the original length.
Solve step by step
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Given:
The length of a rope decreased by 30%. Now it is 100m then find the original length.
To find:
The original length.
Solution:
Let's say "L" is the original length of the rope.
There is a decrease of 30% in the length of the rope.
So, after the decrease,
The new length of the rope, L' = [tex]L - \frac{30}{100}L[/tex]
But the new length is given as 100 m
Therefore, we get
[tex]L - \frac{30}{100}L = 100[/tex]
[tex]\implies \frac{100 - 30}{100}L = 100[/tex]
[tex]\implies \frac{70}{100}L = 100[/tex]
[tex]\implies L = 100 \times \frac{100}{70}[/tex]
[tex]\implies L = 100 \times \frac{10}{7}[/tex]
[tex]\implies \bold{L = 142.85\:m}[/tex] ≈ [tex]\bold{143\:m}[/tex]
Thus, the original length of the rope is → 143 m.
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