Percentage - Study Mode

[#351] In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the group is :
Correct Answer

(C) 80

Explanation

Solution: Let total number of student apply in college 100x 40% student alloted in group A , i.e. 40x Remaining Student 100x - 40x = 60x Now 75% of remaining student got alloted in Group B i.e. 75% of 60x = 45x Remain student is 60x - 45x = 15x (which alloted in Group C) According to question 15x = 12 x = $$ frac{12}{15} $$ Total Number of Student applied in college = 100x = 100 x $$ frac{12}{15} $$ = 80

[#352] A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had :
Correct Answer

(D) 700 apples

Explanation

Solution: Required apples : = $$frac{420}{(100 - 40)}$$ xa0× 100 = $$frac{420}{60}$$ × 100 = 700

[#353] When expressed as a fraction 64% would mean :
Correct Answer

(A) $$frac{16}{25}$$

Explanation

Solution: 64% = $$frac{64}{100}$$ = $$frac{16}{25}$$

[#354] Solve this : (12% of 555) + (15% of 666) = ?
Correct Answer

(A) 166.5

Explanation

Solution: Given 12% of 555 + 15% of 666 $$eqalign{
& Leftrightarrow (?) = left( {frac{{12}}{{100}} imes 555}
ight) + left( {frac{{15}}{{100}} imes 666}
ight) cr
& ,,,,,,,,,,,,,,,, = left( {66.6 + 99.9}
ight) cr
& ,,,,,,,,,,,,,,,, = 166.5 cr} $$

[#355] Solve this : 12% of 5000 = ?
Correct Answer

(A) 600

Explanation

Solution: 12% of 5000 = $$frac{12}{100}$$ × 5000 = 600