Percentage - Study Mode
[#501] In an election between two candidates, 5% of the registered voters did not cast their vote. 10% of the votes were found to be either invalid or of NOTA. The winning candidate received 60% votes in his favour and won the election by 17271 votes. Find the number of registered voters.
Correct Answer
(C) 101000
Explanation
Solution: $$eqalign{
& 20\% { ext{ of }}885 = 17271 cr
& 855 imes frac{{20}}{{100}} = 17271 cr
& 1 o 101 cr
& herefore 1000 = 101000 cr} $$
[#502] ln an examination, the number of students who passed and the number of students who failed were in the ratio 25 : 4. If one more students had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
Correct Answer
(C) 126
Explanation
Solution: Ratio of passed student to fails students = Pass : Fail = 25x : 4x Total number 25x + 4x = 29x New ratio of passed student to fails students = Pass : Fail = 22x : 3x = 25x $$frac{{{ ext{Fail}}}}{{{ ext{Total}}}} = frac{{4x - 3}}{{29x + 1}} = frac{3}{{25}}$$ 100x - 75 = 87x + 3 13x = 78 x = 6 So, the difference is = 25x - 4x = 21x = 21 × 6 = 126
[#503] Anuja owns $$66frac{2}{3}\% $$ xa0of a property. If 30% of the property that she owns is worth Rs. 1,25,000, then 45% of the value (in Rs.) of the property is:
Correct Answer
(B) 2,81,250
Explanation
Solution: $$eqalign{
& { ext{Let the property}} = 300,{ ext{units}} cr
& { ext{Anuja have}} = 300 imes frac{2}{3} = 200{ ext{ units}} cr
& frac{{200 imes 30}}{{100}} o 125000 cr
& 60{ ext{ units}} o { ext{125000}} cr
& { ext{1 unit}} o frac{{12500}}{6} cr
& 95\% { ext{ of }}300 = 135 cr
& 135{ ext{ units}} o { ext{135}} imes frac{{12500}}{6} cr
& = 45 imes 6250 cr
& = { ext{Rs}}{ ext{. }}281250 cr} $$
[#504] Ankita's weight is 20% less than that of her grandmother. The grandmother weights 26 kg less than grandmother's husband, whose weight is 81 kg. If Ankita's brother is 8 kg heavier than Ankita, then what is the weight (in kg) of Ankita's brother?
Correct Answer
(D) 52
Explanation
Solution: Grand mother's husband's, weight = 81 kg Grand mother's weight = (81 - 26) kg = 55 kg 20% = $$frac{1}{5}$$ Ankita's weight = 55 × $$frac{4}{5}$$ = 44 kg Ankita's brother's weight = 44 + 8 = 52 kg
[#505] If each side of a square is decreased by 17%, then by what percentage does its area decrease?
Correct Answer
(B) 31.11%
Explanation
Solution: $$ = frac{{3111 imes 100}}{{10000}} = 31.11\% $$