Question 1

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college ?

Accepted Answer

Let number of boys = B Number of girls = G From the given data, 1B/3 + 1G/2 = 300 But given B/3 = 100 => B = 300 G/2 = 300 - 100 G = 200 x 2 => G = 400 Therefore, total number of students in the college = B + G = 700.

Question 2

At an examination in which maximum marks are 500. P got 10% less than Q, Q got 25% more than R and R got 20% less than S. If P got 360 marks what percentage of marks was obtained by S ?

Accepted Answer

Let marks obtained by S = M R's marks = 0.80M Q's marks = 1.25 (0.80M) P's marks = (0.90) (1.25) (0.80M) = 0.9M But 0.9M = 360 M = ? M = 400 Hence % of marks obtained by S = 400/500 x 100 = 80%.

Question 3

A man reads 3/7 of a book on a day and 2/5 of the remaining, on the second day. If the number of pages still unread are 36, how many pages did the book contain ?

Accepted Answer

Let number of pages in a book = p According to questions p - [3p/7 + (2/5 x 4p/7)] = 36 = p - 23p/35 = 36 => 12p = 36 × 35 p = 105

Question 4

A earns 50% of B's salary, B earns 80% of C's salary. If the total earnings for a month is Rs. 22000, then what is the earning for A ?

Accepted Answer

Let C's salary be Rs. x Then B's salary = 80x/100 => A's salary = (50/100) * (80x/100) = 40x/100 But given total earnings in a month = 22000 => x + 80x/100 + 40x/100 = 22000 => x + 120x/100 = 22000 => x = 10000 => A's salary = 40 x 10000/100 = Rs. 4000

Question 5

The average of a set of whole numbers is 27.2. when the 20% of the elements are eliminated from the set of numbers then the average become 34. The number of elements in the new set of numbers can be :

Accepted Answer

only (c) is correct since it is divisible by 4. Let the original number of element be x then the new no.of elements will be 4 x 5 = K So K must be divisible by 4 Since, x = Kx5/4

Question 6

Each edge of a cube is increased by 20% then the percentage increase in surface area of the cube is :

Accepted Answer

The surface area of a cube = 6 a 2 = 6 s i d e 2 New Surface area = 6 x 1.44 a 2 Therefore, 0 . 44 a 2 a 2 x 100 = 44 %

Question 7

60 percent of 2/7 of three-fourth of a number is 2664. What is the number ?

Accepted Answer

Let N be the required number. => 60 100 x 2 7 x 3 4 x N = 2664 => N = 2664x2x7x5/9 => N = 20720.

Question 8

Which value is equal to 5% of 1,500?

Accepted Answer

In the question it is asked for 5% of 1500 5 x 1500/100 = 15 x 5 = 75. Hence, 5% of 1,500 is equal to 75.

Question 9

Twenty percent of Karthik’s monthly salary is equal to thirty two percent of Nikitha’s monthly salary. Vipin’s monthly salary is four fifth that of Nikitha’s monthly salary. If Vipin’s annual salary is Rs. 3.84 lakhs, what is Karthik’s monthly salar…

Accepted Answer

From the given data, 20% of K = 32% of N V = 4/5 N Given Vipin's salary = 3.84 lpa = 3.84/12 = 32,000 per month Now, N = 5/4 x 32000 = 40000 Now K = 32/20 x 40000 = 64000 Hence, karthik's monthly salary = Rs. 64000.

Question 10

If K earns 12% less than L, then how much percent more does L earn than K ?

Accepted Answer

Required % is given by => 12 100 - 12 x 100 = 1200/88 = 13.636%

Question 11

Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?

Accepted Answer

20 large cakes will require the equivalent of 10 helpers working for one hour. 700 small cakes will require the equivalent of 20 helpers working for one hour. This means if only one hour were available we would need 30 helpers. But since three hours are available we can use 10 helpers.

Question 12

A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?

Accepted Answer

If the price is reduced by 15 %, then the new price will be 0.85D If this new price is further reduced by 10%, the discounted price will be 0.9 x 0.85D = 0.765D

Question 13

In Veeru Bhai Pvt.limited company 60% of the employees are men and 48% of the employees are Engineer and 66.6% of these are men. The percentage of women who are not engineers:

Accepted Answer

Men Women 600x 400x Total engineers = 480x Male engineers = 480x X 0.66 = 320 Women who are Engineers = 160x Women are not Engineers = 400x - 160x = 240x Required percentage = 240 400 x 100 = 60%

Question 14

If 25% of three-seventh of 26% of a number is 145.5, what is the number?

Accepted Answer

Given, 25% of three-seventh of 26% of a number is 145.5 Let the required number be 'N' i.e, 25 100 x 3 7 x 26 100 x N = 145 . 5 N = 145 . 5 x 7 x 10000 75 x 26 => N = 5223.07

Question 15

What is 15 of 80 with simple method and examples?

Accepted Answer

Given that to find 15 of 80 => What % of 80 is 15 Let it be 'p' => p% of 80 = 15 => p x 80 100 = 15 ⇒ p = 15 x 100 80 ⇒ p = 1500 80 = 18 . 75 Therefore, 15 is 18.75% of 80 => 18.75% of 80 = 15 Example:: Now, in the similar way we can find 15% of 80 =? => 15x80/100 = p => p = 4 x 3 = 12 Therefore, 15% of 80 = 12

Question 16

16 of 225 is =

Accepted Answer

16 of 225 is = 16 = p × 225 100 p = 1600 225 = 7 . 1111

Question 17

Ramesh spent Rs. 38460 on the renovation of his home, Rs. 24468 on buying furniture and remaining 28% of the total amount he had as cash with him. What was the total amount ?

Accepted Answer

Let X be the total amount with Ramesh Given 28% of X = Cash remaining => Amount spent = 72% of X = 38460 + 24468 = 62928 => 72% of X = 62928 => X = ? => X = 87400

Question 18

If the given two numbers are respectively 7% and 28% of a third number, then what percentage is the first of the second ?

Accepted Answer

Here, k = 7 and l = 28 Therefore, first number = k l x100 % of second number = 7/28 x 100% of second number = 25% of second number.

Question 19

96% of the population of a village is 23040. The total population of the village is ?

Accepted Answer

Let the total population be 'P' P x (96/100) = 23040 P = 240 * 100 P = 24000.

Question 20

36 of what number is 18?

Accepted Answer

Let the required number be 'p' 36 of what number is 18 implies 36% of p = 18 => 36 x p/100 = 18 => p = 1800/36 => p = 50. Hence, 36% of 50 is 18.

Percentage Questions