Percentage - Study Mode

[#461] 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?
Correct Answer

(B) 44 inches

Explanation

Solution: $$eqalign{
& { ext{Shrinking of cloth}}, cr
& = {frac{{ {36 - 33} }}{{36}}} imes 100 cr
& = frac{{100}}{{12}}\% cr
& { ext{Second time the strip shrinks,}} cr
& = frac{{ {48 imes 100} }}{{1200}} cr
& = 4, ext{inches} cr
& { ext{hence,}},{ ext{the}},{ ext{cloth}},{ ext{remains}} cr
& = 48 - 4 cr
& = 44 cr} $$

[#462] (X% of Y) + (Y% of X) is equal to:
Correct Answer

(C) 2% of XY

Explanation

Solution: $$eqalign{
& { ext{According}},{ ext{to}},{ ext{question,}} cr
& {frac{{XY}}{{100}}} + {frac{{YX}}{{100}}} cr
& = frac{{2XY}}{{100}} cr
& = 2\% ,of,XY cr} $$

[#463] 2 is what percent of 50 ?
Correct Answer

(C) 4%

Explanation

Solution: Required % = $$frac{2}{50}$$ × 100 = 4%

[#464] 15% of 45% of a number is 105.3. What is 24% of that number.
Correct Answer

(B) 374.4

Explanation

Solution: Let the number be x ⇒ x × $$frac{15}{100}$$ × $$frac{45}{100}$$ = 105.3 ⇒ x = 1560 ⇒ Required answer = $$frac{24}{100}$$ × 1560 = 374.4

[#465] If 60% of A = $$frac{3}{4}$$ of B, then A : B is :
Correct Answer

(D) 5 : 4

Explanation

Solution: 60% of A = $$frac{3}{4}$$B $$frac{3}{5}$$A = $$frac{3}{4}$$B $$frac{A}{B}$$ = $$frac{5}{4}$$ ⇒ A : B = 5 : 4