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If a 36 inches long strip cloth shrinks to 33 inches after being washed, how many inches long will the same strip remain after washing if it were 48 inches long?
Answer & Solution
Correct Answer:
Option
B
$$\eqalign{
& {\text{Shrinking of cloth}}, \cr
& = {\frac{{ {36 - 33} }}{{36}}} \times 100 \cr
& = \frac{{100}}{{12}}\% \cr
& {\text{Second time the strip shrinks,}} \cr
& = \frac{{ {48 \times 100} }}{{1200}} \cr
& = 4\,\text{inches} \cr
& {\text{hence,}}\,{\text{the}}\,{\text{cloth}}\,{\text{remains}} \cr
& = 48 - 4 \cr
& = 44 \cr} $$
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Loginthen 48 inches is required to shrink (3*48)/36 = 4 inches
so after shrinking, it will be 48 - 4 = 44 inches