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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?

a) 47 inches
b) 44 inches
c) 45 inches
d) 46 inches

Answer: b
Explanation:
$$\eqalign{ & {\text{Shrinking of cloth}}, \cr & = {\frac{{ {36 – 33} }}{{36}}} \times 100 \cr & = \frac{{100}}{{12}}\% \cr & {\text{Second time the strip shrinks,}} \cr & = \frac{{ {48 \times 100} }}{{1200}} \cr & = 4\,\text{inches} \cr & {\text{The}}\,{\text{cloth}}\,{\text{remains}} \cr & = 48 – 4 \cr & = 44 \cr} $$

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