Percentage - Study Mode

[#276] What percent of 88 is 33 ?
Correct Answer

(D) 37.5%

Explanation

Solution: Required percentage : $$eqalign{
& = left( {frac{{33}}{{88}} imes 100}
ight)\% cr
& = frac{{75}}{2}\% cr
& = 37.5\% cr} $$

[#277] 40% of 60% of $$frac{3}{5}$$th of a number is 504. What is 25% of $$frac{2}{5}$$th of that number ?
Correct Answer

(C) 350

Explanation

Solution: Let the number be x Then, 40% of 60% of $$frac{3}{5}$$ of x = 504 ⇒ $$frac{40}{100}$$ × $$frac{60}{100}$$ × $$frac{3}{5}$$ × x = 504 ⇒ $$frac{18}{125}$$x = 504 ⇒ x = $$frac{504 × 125}{18}$$ ⇒ x = 3500 ∴ 25% of $$frac{2}{5}$$ of 3500 : = $$frac{25}{100}$$ × $$frac{2}{5}$$ × 3500 = 350

[#278] Nupur invests Rs. 89856, which is 26% of her annual income, in mutual funds. What is her monthly income ?
Correct Answer

(B) Rs. 28800

Explanation

Solution: Let Nupur's annual salary be Rs. x Then, 26% of x = 89856 ⇒ $$frac{26x}{100}$$ = 89856 ⇒ x = $$frac{89856 × 100}{26}$$ ⇒ x = 345600 ∴ Nupur's monthly income : = Rs. $$frac{345600}{12}$$ = Rs. 28800

[#279] Two numbers A and B are such that the sum of 5% of A and 4% of B is two-thirds of the sum of 6% of A and 8% of B. Find the ratio of A : B ?
Correct Answer

(D) 4 : 3

Explanation

Solution: 5% of A + 4% of B = $$frac{2}{3}$$ (6% of A + 8% of B) $$ Leftrightarrow frac{5}{{100}}A + frac{4}{{100}}B = $$ xa0 xa0 $$frac{2}{3}left( {frac{6}{{100}}A + frac{8}{{100}}B}
ight)$$ $$eqalign{
& Leftrightarrow frac{1}{{20}}A + frac{1}{{25}}B = frac{1}{{25}}A + frac{4}{{75}}B cr
& Leftrightarrow left( {frac{1}{{20}} - frac{1}{{25}}}
ight)A = left( {frac{4}{{75}} - frac{1}{{25}}}
ight)B cr
& Leftrightarrow frac{1}{{100}}A = frac{1}{{75}}B cr
& Leftrightarrow frac{A}{B} = frac{{100}}{{75}} cr
& Leftrightarrow frac{A}{B} = frac{4}{3} cr} $$ ∴ A : B = 4 : 3

[#280] In a college election between two candidates, one candidate got 55% of the total valid votes. 15% of the votes were invalid. If the total votes were 15200, what is the number of valid votes the other candidate got ?
Correct Answer

(A) 5814

Explanation

Solution: Number of valid votes = (100 - 15)% of 15200 = 85% of 15200 = $$frac{85}{100}$$ × 15200 = 12920 Valid votes polled by other candidate : = (100 - 55)% of 12920 = $$frac{45}{100}$$ × 12920 = 5814