Percentage Question sheet 4

Percentage Question sheet

Q.1 A is smaller than B by 20%, while C is greater than B by 60%. By what percent is A smaller than C?

a.25

b.50

c.100

d.Cannot be determined

Q.2 B and C exceed A by 20% and 50% respectively. D is 33.33% more than C. If D exceeds B by 20, then A equals ….. .

a.20

b.25

c.40

d.50

Q.3 The prices of LPG and Petrol were in the ratio 3 : 5 in 2010; and in the ratio 5 : 8 in 2022. If the price of LPG increased by 120% during 2010 - 2022, then the percentage increase in the price of petrol during this period equals ……….

a.14.2

b.110.2

c.111.2

d.105.2

Q.4 In a box of fruit, 45% of the fruits are mangoes while the rest are papayas. If 20% of the fruits are rotten and the rest are in good condition, and 40% of the good fruits are mangoes, then the percentage of papayas in the rotten fruits is ………. .

a.24

b.35

c.28

d.25

Q.5 A box, consisting of two types of fruits, namely Papayas and Bananas, has a total of 800 fruits. It is found that 40% of the Papayas and 30% of the Bananas are rotten. If 66.25% of the fruits in the box are not rotten, the number of non-rotten papayas in the box is ………. .

a.500

b.180

c.200

Q.6 30% of the fruits in a box are oranges and the rest are apples. 25% apples are green and the rest are red. If the number of red apples is 735 then the total number of fruits in the box is ………. .

a.1200

b.1300

c.1400

d.1500

Q.7 A farmer, while measuring the dimensions of his rectangular piece of land with a metre stick, calculated its area to be 1215 m. Later, he came to know that the metre stick is faulty and it measures 10% less than the actual length. What is the correct area of his land (in m2)?

Q.8Mohan gave 12.5% of his marbles to Rishi. As a result, Rishi’s count of marbles increased by 20%. What is the new ratio of the number of marbles with Rishi to that with Mohan?

a.7 : 6

b.5 : 6

c.6 : 7

d.6 : 5

Q.9 In a locality, over a period of 5 years, the total income of the households increased by 35% and the per capita income increased by 25% during the same time. The percentage by which the population of the locality increased during the same period is ……….

a.12

b.10

c.8

d.6

Q.10 In a garden, 59% of the trees are coconut trees and the rest are mango trees. The number of coconut trees exceeds that of mango trees by 180. If 54% trees, including 245 mango trees, in the garden are older than 10 years, then the percentage of coconut trees, which are ten years or less older, is ………. 

Q.11 A box contains small cubes made of either only wood or only metal. Some cubes are of red colour and the rest are of green colour. The number of red cubes is three times that of green cubes. Among the red cubes, 44% are made of metal and among the green cubes, 48% are made of metal. What percentages of cubes are made up of wood?

a.55

b.52

c.48

d.45

Q.12 A cricket ball weighs only 25% of a football. A tennis ball and a cricket ball together weighs 40% of the weight of a football and a tennis ball together. What is the weight of a tennis ball as a percentage of the weight of a football?

Q.13 Among all the students of a school, 30% belong to ‘A’ ethnicity, 20% belong to ‘B’ ethnicity. 12.5% belong to ‘C’ ethnicity, and the rest belong to ‘D’ ethnicity. A single student cannot belong to more than one ethnicity. Among the students in the school 15% of A, 10% of B, 20% of C and 12% of D can speak in English. What percentage of English speaking students in the school belong to ‘D’ ethnicity?

a.29.33%

b.31.33%

c.33.33%

d.30.33%

Q.14 In the year 2019, the adult population in a suburban town was 9,12,800. The population was categorized into two groups only - male and female. In 2022, the town had a total adult population of 10,40,592. During this period, the adult male population increased by 12.5% and the adult female population increased by 15.5%. The number of adult male population in the town in 2022 was ………. .

a.514350

b.513450

c.456400

d.454600

Q.15 In a 10th standard state board examination, 5% of registered students did not appear for the examination. Among the students who appeared for the examination, 8% could not pass the examination.The ratio of students who passed in first division, second division and p-division (students can pass in these 3 divisions only) is 5 : 3 : 2.

How many students appeared for the board examination if the difference between the number of students who passed in first and p-division is 2622? 

a.10000

b.11000

c.9500

d.11400

1	2	3	4	5	6	7	8	9	10
B	B	C	B	C	C	1500	C	C	50
11	12	13	14	15
A	25	C	B	C