Question 1

Solve 30 + (.0825 x 30) + (15% x 30)

Accepted Answer

30 + (.0825 x 30) + (15% x 30) Now => 0.0825 x 30 = 2.475 -----(1) => 15% of 30 = 450/100 = 4.5 -----(2) Hence, from (1) & (2) 30 + (.0825 x 30) + (15% x 30) = 30 + 2.475 + 4.5 30 + (.0825 x 30) + (15% x 30) = 36.975.

Question 2

The price of a cycle is reduced by 25 per cent. The new price is reduced by a further 20 per cent. The two reductions together are equal to a single reduction of

Accepted Answer

Let the original price of the cycle be 100. After the first reduction the price will be 75. This new price is then reduced by 20% = 0.8 x 75 = 60 60 represents a reduction of 40 percent on the original.

Question 3

Fresh grapes contain 60% water, while dry grapes contain 40% water. How many kgs of dry grapes can be obtained by 60 kg of fresh grapes?

Accepted Answer

The fruit content in both the fresh fruit and dry fruit is the same. Let 'p' kgs of dry grapes are obtained from the 60 kgs of fresh grapes => 60 x 40 100 = p x 60 100 = > p = 40 kgs . Therefore, 40 kgs of Dry grapes are obtained from 60 kgs of Fresh grapes.

Question 4

Lucky started working 2 years ago. Her starting salary was half of Karthik's salary at that time. Each year since then Lucky and Karthik have received a rise of 10% in their respective salary. What percentage (to the nearest percent) of Karthik's cu…

Accepted Answer

Let the salary of Karthik 2 years ago be Rs.100 So, Lucky's salary 2 years ago was Rs.50 Karthik's present salary has seen two 10 percent increases. So as Lucky's salary. So, Karthik's salary 1 year ago = 100 + 10% of 100 = 100 + 10 = 110. Karthik's present salary = 110 + 10% of 110 = 110 + 11 = 121. Lucky's salary 1 year ago = 50 + 10% of 50 = 50 + 5 = 55 Lucky's present salary = 55 + 10% of 55 = 55 + 5.5 = 60.5 Lucky's present salary of 60.5 = 50% of Karthik's present salary of 121.

Question 5

15% of 32 is

Accepted Answer

15% of 32 is 15 x 32/100 = 4.8.

Question 6

5% of 400000?

Accepted Answer

5% of 400000 = 5 x 400000/100 = 20,000 Hence, 5% of 4,00,000 = 20,000

Question 7

In an examination a candidate got 30% marks and failed by 30 marks. If the passing marks are 60% of the total marks, then the maximum marks will be:

Accepted Answer

Passing marks are 0.6x so 0.3x + 30 = 0.6x => x = 100

Question 8

5/9 of the part of the population in a village are females. If 30 % of the females are married. The percentage of unmarried males in the total males is ?

Accepted Answer

Let total population = p number of females = 5p/9 number of males =(p-5p/9) = 4p/9 married females = 30% of 5p/9 = 30x5p/100x9 = p/6 married males = p/6 unmarried males =(4p/9-p/6) = 5p/18 Percentage of unmarried males in the total males = {(5p/18)/4p/9}x100 = (5p/18)x(9/4p) = 125/2 % = 62.5%

Question 9

The current birth rate per thousand is 32, whereas corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by :

Accepted Answer

Net growth on 1000 = (32 - 11) = 21. Net growth on 100 =(21/1000 * 100) %= 2.1%.

Question 10

A man lost half of its initial amount in the gambling after playing 3 rounds. The rule of gambling is that if he wins he will receive Rs. 100, but he has to give 50% of the total amount after each round.Luckily he won all the three rounds. The initi…

Accepted Answer

Let the initial amount be x (with gambler), then x + 100 1 2 + 100 1 2 + 100 1 2 = x 2 => x = 700/3

Question 11

In a college, number of boys is 75% of number of girls. Difference between boys and girls is 35. On a particular day 20% boys were absent, then find the number of boys those who present?

Accepted Answer

Ratio of girls and boys = 100% : 75% = 4:3 Difference is 1 unit = 35 So, 3 units = 35 x 3 = 105 If 20% absent, that’s mean 80% present. So, present boys = 80% of 105 = 80 × 105 100 = 84

Question 12

A seller charges 28% more from a customer as GST on an article. If customer paid Rs. 4544, what is the cost price of the article?

Accepted Answer

Let the cost price of the article be 'P' Then from given data, P + 28 P 100 = 4544 = > 128 P = 454400 = > P = 3550 Hence, the cost price of the article = P = Rs. 3550

Question 13

A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast ?

Accepted Answer

Let the candidates be A & B 35%-----------A 65%-----------B Difference of votes (65-35)% = 30% => 30% ------- 2250 Then for 100% -------- ? => 7500

Question 14

A restaurant offers a new promotion of 20% off the original price of cakes, which is Rs. 12. Before the promotion 250 cakes were sold each day. After the promotion, the sale of cakes increases an average of 18% more per day. How much more or less do…

Accepted Answer

Cost of each cake P1 & P2 = Rs. 12 Offer decrease in % = 20% Increase in sale per day (Q2) = 250 - 18% Total quantity per day (Q1) = 250 Hence, required change total revenue TR = P2Q2 - P1Q1 = (12 x 0.8 x 250 x 1.18) - (12 x 250) = - Rs.168.

Question 15

In a factory there are three types of Machines M1 , M2 and M3 which produces 25%, 35% and 40% of the total products respectively. M1, M2 and M3 produces 2% , 4% and 5% defective products, respectively. What is the percentage of non-defective product…

Accepted Answer

Non- defective products 25 x 0 . 98 + 35 x 0 . 96 + 40 x 0 . 95 100 x 100 = 96 . 1

Question 16

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 in the school = x Let number of girls in the school = y Number of students participated in the sports = 300 Out of which boys = 100 but given number of boys participated in sports = x/3 => x/3 = 100 => x = 300 Remaining girls = 300 - 100 = 200 => y/2 = 200 => y = 400 Therefore, total number of students in the school = x + y = 300 + 400 = 700

Question 17

25% of 25% Is Equal To

Accepted Answer

25% of 25% means 25/100 of 25/100 i.e, 1/4 of 1/4 or in other words 1/4 x 1/4=1/16 Hence, the answer is 1/16 = 0.0625.

Question 18

Lagaan is levied on the 60% of the cultivated land. The revenue department collected total Rs. 3,84,000 through the lagaan from the village of Sukhiya. Sukhiya, a very rich farmer , paid only Rs.480 as lagaan. The percentage of total land of Sukhiya…

Accepted Answer

Total land of Sukhiya = 480x/0.6 = 800x Cultivated land of village = 384000x Required percentage = 800 x 384000 x 100 = 0 . 20833

Question 19

The tax on an article decreases by 10% and its consumption increases by 10%. Find the effect percent on its revenue?

Accepted Answer

Net % effect on revenue = - 10 + 10 -(10×10)/100 = - 1 Hence % reduction in revenue = 1%

Question 20

5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers?

Accepted Answer

Let the first number be x and the second number be y. Given 5% of x = (25% of y) + y => 5x/100 = 5y/4 => x = 25y ......(1) and also given that, x - y = 96 => x = 96 + y .....(2) From (1)&(2) 25y = 96 + y => 24y = 96 => y = 4 From (1) x = 96 + 4 = 100 Hence, the numbers are 100 & 4.

Percentage Questions