HSBC Percentages Questions and Answers Quiz-1

Explanation Let the candies with be (x + 15) and x.
Therefore, x + 15 = 60/100(x + 15 + x)
(x + 15) = 3/5(2x + 15)
5x + 75 = 6x + 45
x = 30
So, the marks of two students are 45 and 30.

Explanation: Suppose originally he had x oranges.
Then, (100 - 30)% of x = 140.
70/100 x = 140
x = (140 x 100)/70 = 200.

Explanation: Such numbers from 1 to 30 are 1, 9, 11, 19, 21, 29
Number of such numbers =6
Required percentage is (6/20 * 100) % = 20%

Explanation: y% of z = (y/100 x z) = (z/100 x y) = z% of y
A = B.

Explanation: Let the total number of students be x.
Then, Number of students more than 20 years of age = (100 - 63)% of x = 37% of x.
37% of x = 42 + 2/3 of 42
37/100x = 70
x = 189.19 or 189

Explanation: Let the number be 100. 2/5 of 100 is 40 while 5/2 of 100 is 250.
Now the difference is 210 on a base of 250. Therefore, percentage difference is 210/250 into 100 = 84%.

Explanation: Number of valid votes = 75% of 8000 = 1/4 or 5/20
Valid votes polled by other candidate = 6/20 of 8000
= (6/20 * 8000) = 2400.

Explanation: Total no. of votes polled = (1800 + 3300 + 3900) = 9000.
Required percentage = (1800/9000 * 100)% = 20%.

Explanation: Suppose originally he had x units.
Then, (100 - 65)% of x = 175.
35/100 x = 175
x = 500

Explanation: Population increase in 10 years = (22500- 18000) = 4500.
Increase% = (4500/18000 x 100)% = 25%
Required average = (25/10)% = 2. 5%