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: Option B
Solution(By Examveda Team)
$$\eqalign{ & {\text{Shrinking of cloth}}, \cr & = {\frac{{ {36 - 33} }}{{36}}} \times 100 \cr & = \frac{{100}}{{12}}\% \cr & {\text{Second time the strip shrinks,}} \cr & = \frac{{ {48 \times 100} }}{{1200}} \cr & = 4\,\text{inches} \cr & {\text{hence,}}\,{\text{the}}\,{\text{cloth}}\,{\text{remains}} \cr & = 48 - 4 \cr & = 44 \cr} $$This Question Belongs to Arithmetic Ability >> Percentage
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Comments ( 3 )
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
how come 1200 is there?
36 inches is required to shrink 3 inches
then 48 inches is required to shrink (3*48)/36 = 4 inches
so after shrinking, it will be 48 - 4 = 44 inches
whats the logic??