PREPARATORY QUESTIONS

APPLICATION SUMS (QUANTS)

PERCENTAGE SET-II

Question No : 1

A number is increased by x%, to get back to the original number, it is to be reduced by:

Question No : 2

‘A’ gave 45% of an amount to ‘B’ from the money B got, he spent 20% on a dinner. Out of the remaining amount, the amounts paid by B towards tuition fees and towards library membership are in the respective ratio of 5 : 4. If B paid Rs.1712 as library membership fees, how much money did A have at the beginning?

(1) Rs.10700

(2) Rs.4755.55

(3) Rs.8560

(4) Rs.8600

(5) None of these

Question No : 3

“A” gave 25% of an amount to “B” from the money B got; he spent 30% of a dinner. Out of the remaining amount, the respective ratio between the amount B kept as saving and the amount he spent on buying a book is 5 : 2. If B bought the book for Rs.460/- how much money did A have at the beginning?

(1) Rs.12600

(2) Rs.9200

(3) Rs.12000

(4) Rs.9000

(5) Rs.8000

Question No : 4

Rahul spends 50% of his monthly income on household items, one-fifth of his monthly income on buying clothes, 5% of his monthly income on medicines and the remaining amount of Rs.11250 he saves. What is Rahul’s monthly income?

(1) Rs.38200

(2) Rs.34000

(3) Rs.41600

(4) Rs.45000

(5) None of these

Question No : 5

Income of A is 150% of the income of B and income of C is 120% of the income of A. If the total income of A, B and C together is Rs.86,000, what is C’s income?

(1) Rs.30,000

(2) Rs.32,000

(3) Rs.20,000

(4) Rs.36,000

(5) None of these

Question No : 6

Mangesh spends 17% of his monthly income in travelling. He spends one-fourth of his monthly income on house hold expenses and spends 36% of his monthly income on families medical expenses. He has remaining amount of Rs.10032 as cash with him. What is Mangesh’s annual income?

(1) Rs.550300

(2) Rs.536500

(3) Rs.547200

(4) Cannot be determined

(5) None of these

Question No : 7

A candidate scores 20% and fails by 50 marks, while another candidate who scores 40% marks, get 30 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.

(1) 500

(2) 450

(3) 300

(4) 400

(5) None of these

Question No : 8

A student who secures 20% marks in an examination fails by 30 marks. Another student who secures 32% marks gets 42 marks more than those required to pass. The percentage of marks required to pass is :

(1) 20

(2) 25

(3) 28

(4) 30

(5) None of these

Question No : 9

Naveen spends 55% of his monthly salary of rent, EMI and miscellaneous expenses in the respective ratio of 3 : 4 : 4. If he spends a total of Rs.20,055 on the rent and EMI together, how much is his monthly salary?

(1) Rs.50,000

(2) Rs.49,600

(3) Rs.46,750

(4) Rs.57,300

(5) Rs.56,300

Question No : 10

Population of a country increases every year by 10%. If the population in January 2006 was 15.8 lakhs, what was the population in January 2008?

(1) 19,11, 800

(2) 18,96,000

(3) 19,11,600

(4) 18,94,000

(5) None of these

Question No : 11

Kumar spends 50% of his monthly salary on rent, transportation and bills in the respective ratio of 2 : 3 : 4. If he spends Rs.7500 on the transportation, how much is his monthly salary?

(1) Rs.50250

(2) Rs.45000

(3) Rs.50000

(4) Rs.60000

(5) Rs.55000

Question No : 12

Three persons of A, B and C monthly salaries together amount to Rs.16200 spend 75%, 85% and 80% of their salaries respectively. If their savings are in the ratio of 20 : 9 : 8. Find the monthly salary of the first person?

(1) Rs.3600

(2) Rs.5400

(3) Rs.7200

(4) Rs.1800

(5) None of these

Question No : 13

Three persons of A, B and C who together earn Rs.7600, spend 70%, 75% and 80% of their salaries respectively. If their savings are as 4 : 5 : 6 respectively, find the salary of B?

(1) Rs.1600

(2) Rs.2400

(3) Rs.2800

(4) Rs.2000

(5) Rs.2600

Question No : 14

A candidate appearing for an examination has to secure 35% marks to pass. But he secured only 40 marks and failed by 30 marks. What would be the maximum marks of test?

(1) 280

(2) 180

(3) 200

(4) 150

(5) 210

Question No : 15

The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio?

(1) 21 : 22

(2) 17 : 18

(3) 8 : 9

(4) 11 : 12

(5) None of these

Question No : 16

The number of students speaking English and that speaking Hindi are in the ratio of 4 : 5. If the number of students speaking English increases by 35% and that speaking Hindi increases by 20%, what will be the new ratio?

(1) 19 : 20

(2) 7 : 8

(3) 8 : 9

(4) 9 : 10

(5) None of these

Question No : 17

The ratio of the number of students studying in schools A, B and C is 5 : 8 : 4 respectively. If the number of students studying in each of the schools is increased by 20%, 25% and 30% respectively, what will be the new respective ratio of the students in school A, B and C?

(1) 13 : 25 : 15

(2) 20 : 25 : 13

(3) 15 : 25 : 13

(4) 30 : 50 : 13

(5) None of these

Question No : 18

In a college the number of students studying Art, Commerce and Science are in the ratio of      3 : 5 : 8 respectively. If the number of students studying Arts, Commerce and Science is increased by 20%, 40% and 25% respectively, what will be the new ratio of students in Arts, Commerce and Science respectively?

(1) 18 : 35 : 50

(2) 3 : 10 : 10

(3) 4 : 8 : 5

(4) 32 : 35 : 25

(5) None of these

Question No : 19

In a test minimum passing percentage for girls and boys is 35% and 40% respectively. A boy scored 483 marks and failed by 117 marks. What are the minimum passing marks for girls?

(1) 425

(2) 520

(3) 500

(4) 625

(5) None of these

Question No : 20

If the numerator of a fraction is increased by 200% and the denominator of the fraction is increased by 150%, the resultant fraction is 7/10. What is the original fraction?

(1)  3/4

(2) 7/12

(3) 7/11

(4) 9/11

(5) None of these

Question No : 21

If the numerator of a fraction is increased by 40% and its denominator decreased by 40%, then the fraction so obtained is 5/3. What is the original fraction?

Question No : 22

A man gave 20% of his salary to his only son and only daughter. The ratio of amount given to son and daughter is 3 : 2 respectively. Twice the amount what he gave to his daughter, he invested in LIC. Out of the remaining amount he gave one -fourth to his wife, after that he was left with Rs.16800. Find out the amount invested in LIC.

(1) Rs.5600

(2) Rs.5400

(3) Rs.5800

(4) Rs.6200

(5) None of these

Question No : 23

Shiva gives 20% of her monthly salary to his mother, 50% of the remaining salary he invests in an insurance scheme and PPF in the respective ratio 5 : 3 and the remaining he keeps in his bank account. If the sum of the amount he gives to his mother and that he invests in PPF is Rs.12600/- how much is Shiva’s monthly salary?

(1) Rs.42000

(2) Rs.64000

(3) Rs.36000

(4) Rs.40000

(5) Rs.21000

Question No : 24

Neet, out of his total monthly salary, pays 20% towards house loan and 15% towards his miscellaneous expenditure. From the remaining amount, the respective ratio of the amount he invests in a scheme and the amount left with him is 5 : 8. If he invests Rs.6500 in the scheme, what is his monthly salary?

(1) Rs.30,000

(2) Rs.36,250

(3) Rs.27,000

(4) Rs.25,250

(5) Rs.26,000

Question No : 25

In a test, minimum passing percentage for girls and boys is 30% and 45% respectively. A boy scored 280 marks and failed by 80 marks. How many more marks did a girls require to pass in the test if she scored 108 marks?

(1) 132

(2) 140

(3) 160

(4) 112

(5) None of these

Question No : 26

(1) Rs.499100

(2) Rs.492900

(3) Rs.499200

(4) Rs.499300

(5) None of these

Question No : 27

(1) 4000

(2) 4800

(3) 5600

(4) 6400

(5) None of these

Question No : 28

Surf gave 25% of her monthly salary to her mother. From the remaining salary she paid 15% towards rent and 25% she kept aside for her monthly expenses. The remaining amount she kept in bank account. The sum of the amount she kept in bank and that she gave to her mother was Rs.42,000/- What was her monthly salary?

(1) Rs.50000

(2) Rs.60000

(3) Rs.65000

(4) Rs.64000

(5) None of these

Question No : 29

Sharan scored 175 marks in a test and failed by 35 marks. If the passing percentage of the test is 35 percent, what are the maximum marks of the test?

(1) 650

(2) 700

(3) 750

(4) 600

(5) None of these

Question No : 30

Tom gave 1/5th of a certain amount of money to Ali. From the money Ali received, he spent 25% on school fees and 35% on buying school uniform. After the mentioned expenses, Ali had Rs.2800 remaining with him. How much money did Tom have initially?

(1) Rs.21,000

(2) Rs.27,000

(3) Rs.30,000

(4) Rs.35,000

(5) Rs.28,000

Question No : 31

(1) Rs.75,000

(2) Rs.64,000

(3) Rs.60,000

(4) Rs.70,500

(5) None of these

Question No : 32

A candidate scores 25% and fails by 30 marks, while another candidate who scores 50% marks, gets 20 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.

(1) 200

(2) 250

(3) 300

(4) 350

(5) None of these

Question No : 33

Ram scored 456 marks in an exam and Sita got 54 percent marks in the same exam which is 24 marks less than Raman. If the minimum passing marks in the exam is 34 percent, then how much more marks did Ram score than the minimum passing marks?

(1) 184

(2) 196

(3) 190

(4) 180

(5) None of these

Question No : 34

In an examination, a candidate obtained 32% marks and failed by 16 marks. Another candidate secured 36% marks and obtained 10 marks more than the minimum marks to pass. Determine the number of minimum marks to pass the examination?

(1) 208

(2) 224

(3) 650

(4) 260

(5) None of these

Question No : 35

In a test, Rajesh got 112 marks which was 32 more than the passing marks. Sonal got 75% marks which was 70 more than the passing marks. What is the minimum passing percentage of the test?

(1) 35%

(2) 45%

(3) 40%

(4) 48%

(5) None of these

Question No : 36

In an examination, a student who get 20% of the maximum marks fails by 5 marks. Another student who scores 30% of the maximum marks get 20 marks more than the pass marks. The necessary percentage required for passing is:

(1) 32%

(2) 23%

(3) 20%

(4) 22%

(5) None of these

Question No : 37

Six-eleventh of a number is equal to twenty two percent of second number. Second number is equal to the one-fourth of third number. The value of the third number is 2400, what is the 45% of first number?

(1) 107.6

(2) 131.1

(3) 115.4

(4) 143.8

(5) None of these

Question No : 38

A candidate scores 35% and fails by 30 marks, while another candidate who scores 75% marks, get 50 marks more than the minimum required marks to pass the examination. Find the maximum marks for the examination.

(1) 100

(2) 200

(3) 150

(4) 250

(5) None of these

Question No : 39

Arun got 30% of the maximum marks in an examination and failed by 10 marks. However, Sujith who took the same examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?

(1) 90

(2) 250

(3) 75

(4) 85

(5) None of these

Question No : 40

Aneet spends 55% of his monthly salary of rent, EMI and miscellaneous expenses in the respective ratio of 1 : 2 : 2. If he spends a total of Rs.44,000 on the EMI and miscellaneous  together, how much is his monthly salary?

(1) Rs.1,00,000

(2) Rs.1,09,600

(3) Rs.1,00,750

(4) Rs.1,57,000

(5) Rs.56,300

Question No : 41

In order to pass in an examination, a student is required to get 342 marks out of the aggregate marks. Neha got 266 marks and was declared fail by 8 percent. What is the minimum passing percentage of the examination?

(1) 28%

(2) 36%

(3) 33%

(4) 26%

(5) None of these

Question No : 42

Ram spends 45% of his monthly salary on rent, transportation and bills in the respective ratio of 5 : 1 : 2. If he spends Rs.2250 on the transportation, how much is his monthly salary?

(1) Rs.35250

(2) Rs.40000

(3) Rs.55500

(4) Rs.34760

(5) Rs.46000

Question No : 43

Three persons of A, B and C monthly salaries together amount to Rs.28800 spend 65%, 75% and 85% of their salaries respectively. If their savings are in the ratio of 14 : 15 : 12. Find the monthly salary of the second person?

(1) Rs.6400

(2) Rs.9600

(3) Rs.12600

(4) Rs.12800

(5) None of these

Question No : 44

The annual income of Puja, Hema and Jaya taken together is Rs.46000/-. Puja spends 70% of income, Hema spends 80% of her income and Jaya spends 92% of her income. If their annual savings are 15 : 11 : 10, find the annual saving of Puja?

(1) Rs.3000/-

(2) Rs.10000/-

(3) Rs.7500/-

(4) Rs.4000/-

(5) None of these

Question No : 45

Ram and Shyam started a business in partnership by investing certain amount in the respective ratio of 3 : 5 for a fixed and equal period of time. By what percent is the Ram’s share less than that of Shayam’s share in the annual profit?

(1) 35%

(2) 20%

(3) 40%

(4) 42%

(5) 45%

Question No : 46

Two numbers are in the ratio 4 : 5. If the first number is increased by 20% and the second is decreased by 20%, what will be the ratio of the new numbers?

(1) 4 : 5

(2) 5 : 4

(3) 5 : 6

(4) 6 : 5

(5) None of these

Question No : 47

The ratio between the incomes of Sathish and Manoj was 7 : 8 respectively. The income of Sathish increased by 20% and that of Manoj was decreased by 10%. What will be the new ratio between their incomes?

(1) 3 : 4

(2) 6 : 7

(3) 7 : 6

(4) 8 : 4

(5) None of these

Question No : 48

The respective ratio of two numbers is 16 : 21. If the first number is increased by 30% and the second number is decreased by 20%. What will be the respective ratio of the first and the second number?

(1) 32 : 21

(2) 26 : 21

(3) 25 : 21

(4) 20 : 21

(5) None of these

Question No : 49

The salary of an employee increases consistently by 50% every year. If his salary today is Rs.10,000 what will be the salary after another 4 years?

(1) Rs.62,500

(2) Rs.26,500

(3) Rs.50,625

(4) Rs.33,750

(5) None of these

Question No : 50

The ratio of number of students taking admission in organisation X and Y was 5 : 8. If 20% of students exceed in organisation X and 10% of students exceed in organisation Y, then new ratio of students is:

(1) 15 : 22

(2) 15 : 16

(3) 5 : 4

(4) 5 : 7

(5) None of these

Question No : 51

The prices of sugar and rice are in the ratio 4 : 5. If the price of sugar is increased by 10% and that of rice by 20%, find the ratio between increased prices of sugar and rice.

(1) 1 : 2

(2) 5 : 6

(3) 11 : 15

(4) 11 : 12

(5) None of these

Question No : 52

Mr. Yadav spends 80% of his monthly salary on consumable items and 50% of the remaining on clothes and transport. He saves the remaining amount. If his savings at the end of the year are Rs.5370 how much amount per month he would have spent on clothes and transport?

(1) Rs.403

(2) Rs.807

(3) Rs.969.12

(4) Rs.484.56

(5) None of these

Question No : 53

In the academic year 2018-2019, the number of students studying Engineering and Medical were in the respective ratio of 5 : 8. After 2 years, the number of students studying Engineering increased by 60% and the number of students studying Medical increased by 20%. What was the new respective ratio of students studying the two disciplines?

(1) 1 : 3

(2) 3 : 1

(3) 5 : 6

(4) 10 : 13

(5) None of these

Question No : 54

Ratio of earnings of Rajesh and Kumar is 4 : 5 respectively. If the earnings of Rajesh increase by 20% and earnings of Kumar decrease by 20%, the new ratio of their earnings became 6 : 5 respectively. What are Rajesh’s earnings?

(1) Can’t be determined

(2) Rs.23500

(3) Rs.25000

(4) Rs.22000

(5) None of these

Question No : 55

Seats for Maths, Physics and Biology are in the ratio of 5 : 7 : 8 respectively. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the respective ratio of increased seats?

(1) 2 : 3 : 4

(2) 6 : 7 : 8

(3) 6 : 8 : 9

(4) Can’t say

(5) None of these

Question No : 56

The number of students studying in Arts, Commerce and Science in an Institute in the year 2002 were in the ratio of 8 : 5 : 6 respectively. If the number in the three disciplines increased by 30%, 20% and 60% respectively in the year 2003, what was the new respective ratio?

(1) 9 : 7 : 8

(2) 26 : 15 : 24

(3) 27 : 13 : 12

(4) 13 : 15 : 12

(5) None of these

Question No : 57

Sunitha spent Rs.45,760 on the interior decoration for her home, Rs.27,896 on buying air conditioner and the remaining 28% of the total amount she had as cash with her. What was the total amount?

(1) Rs.98540

(2) Rs.102300

(3) Rs.134560

(4) Can’t say

(5) None of these

Question No : 58

Salaries of A, B and C are in the ratio of 2 : 3 : 5 respectively. If their salaries were increased by 15%, 10% and 20% respectively what will be the new respective ratio of their salaries?

(1) 23 : 33 : 60

(2) 3 : 3 : 10

(3) 10 : 11 : 20

(4) 13 : 14 : 15

(5) None of these

Question No : 59

The ratio of the number of students studying in schools A, B and C is 3 : 5 : 7 respectively. If the number of students studying in each of the schools is increased by 15%, 20% and 25% respectively, what will be the new respective ratio of the students in schools A, B and C?

(1) 120 : 69 : 175

(2) 13 : 14 : 15

(3) 3 : 4 : 5

(4) 69 : 120 : 175

(5) None of these

Question No : 60

The ratio of the number of students appearing for examination in the year 1998 in the states A, B and C was 3 : 5 : 6.  Next year if the number of students in these states increases by 20%, 10% and 20% respectively, the ratio in states A and C would be respectively 1 : 2. What was the number of students who appeared for the examination in the state A in 1998?

(1) 5,000

(2) 6,000

(3) 7,500

(4) Cannot be determined

(5) None of these

Question No : 61

The price of an article was increased two times successively by 10% each time. By what percent should the new price be reduced so as to restore the original price.

(1) 15%

(2) 17.36%

(3) 17%

(4) 16.36%

(5) None of these

Question No : 62

Seats of Physics, Chemistry and Mathematics in a school are in the ratio 4 : 5 : 6. There is a proposal to increase these seats by 75 in each department. What were the total number of seats in the school finally?

(1) 600

(2) 750

(3) 900

(4) 1051

(5) None of these

Question No : 63

If the numerator of a fraction is increased by 20% and its denominator increased by 25%, then the fraction so obtained is 3/5. What is the original fraction?

(1) 5/8

(2) 3/8

(3) 3/5

(4) 8/3

(5) None of these

Question No : 64

A candidate who scores 30 percent fails by 5 marks, while another candidate who scores 40 percent marks gets 10 more marks than minimum pass marks. The minimum marks required to pass are:

(1) 50

(2) 70

(3) 100

(4) 150

(5) None of these

Question No : 65

(1) 4/7

(2) 13/12

(3) 11/12

(4) 7/4

(5) None of these

Question No : 66

If the numerator of a fraction is increased by 20% and the denominator is not changed, the resultant fraction thus obtained is 2/3. What was the original fraction?

(1) 3/8

(2) 5/8

(3) 4/9

(4) 5/9

(5) None of these

Question No : 67

In Chennai, the ratio of school going children to non-school going children is 5 : 4. If in the next year, the number of non-school going children is increased by 20%, making it 35,400, what is the new ratio of school going children to non-school going children?

(1) 4 : 5

(2) 3 : 2

(3) 25 : 24

(4) 24 : 25

(5) None of these

Question No : 68

90% of the students in school passed in English, 85% passed in Mathematics and 150 students passed in both the subjects. If no student failed in both the subjects, find the total number of students.

(1) 400

(2) 250

(3) 200

(4) 300

(5) None of these

Question No : 69

In a fraction, if numerator is increased by 40% and denominator is increased by 80%, then what fraction of the original is the new fraction?

(1) 1/2

(2) 7/18

(3) 7/9

(4) Data inadequate

(5) None of these

 

Question No : 70

A man gives 50% of his money to his son and 30% to his daughter. 80% of the rest is donated to a trust. If he is left with 16,000 now, how much money did he have in the beginning?

(1) Rs.4,00,000

(2) Rs.40,000

(3) Rs.90,000

(4) Rs.80,000

(5) None of these

 

Question No : 71

The value of a machine is Rs.6,250. It decreases by 10% during the first year, 20% during the second year and 30% during the third year. What will be the value of the machine after 3 years?

(1) Rs.2,650

(2) Rs.3,050

(3) Rs.3,150

(4) Rs.3,510

(5) None of these

 

Question No : 72

75 gm of sugar solution has 30% sugar in it. Then the quantity of sugar that should be added to the solution to make the quantity of the sugar 70% in the solution is:

(1) 125 gm

(2) 100 gm

(3) 120 gm

(4) 130 gm

(5) None of these

 

Question No : 73

If the numerator of a fraction is increased by 300% and the denominator is increased by 200%, the resultant fraction is 4/15. What is the original fraction?

(1)  3/15

(2) 4/5

(3) 2/5

(4) 1/5

(5) None of these

 

Question No : 74

Ram’s expenditure and savings are in the ratio 5 : 3. If his income increases by 12% and expenditure by 15%, then by how much percent does his savings increase?

(1) 12%

(2) 7%

(3) 8%

(4) 13%

(5) None of these

 

Question No : 75

The sum of the numbers of boys and girls in a school is 150. If the number of boys is x, the number of girls becomes x% of the total number of students. The number of boys is:

(1) 90

(2) 75

(3) 25

(4) 60

(5) None of these

 

Question No : 76

The price of a school bag and a shoe are in the ratio 7 : 5. The price of the school bag is Rs.200 more than the price of the shoe. Then the price of the shoe is:

(1) Rs.200

(2) Rs.700

(3) Rs.500

(4) Rs.1200

(5) None of these

 

Question No : 77

The sum of two numbers is 520. If the bigger number is decreased by 4% and the smaller number is increased by 12% then the numbers obtained are equal. The smaller number is

(1) 280

(2) 240

(3) 210

(4) 300

(5) None of these

 

Question No : 78

In a big garden 60% of the trees are coconut trees, 25% of the number of coconut trees are mango trees and 20% of the number of mango trees are apple trees. If the number of apple trees in the garden is 1440. Then find the number of trees in the garden is:

(1) 48000

(2) 50000

(3) 51000

(4) 45000

(5) None of these

 

Question No : 79

In an office, 40% of the staff is female. 70% of the female staff and 50% of the male staff are married. The percentage of the unmarried staff in the office is

(1) 65%

(2) 42%

(3) 60%

(4) 64%

(5) None of these

 

Question No : 80

Mr. X spends 20% of his monthly income on household expenditure. Out of the remaining 25% he spends on children’s education, 15% on transport, 15% on medicine and 10% on entertainment. He is left with Rs.9,800 after incurring all these expenditures. What is his monthly income?

(1) Rs.35,000

(2) Rs.28,000

(3) Rs.65,333

(4) Rs.48,400

(5) None of these

 

Question No : 81

Aman’s expense is 30% more than Vimal’s expense and Vimal’s expense is 10% less than Raman’s expense. If the sum of their expense is Rs.6447, then what would be the Aman’s expense?

(1) Rs.2,200

(2) Rs.2,457

(3) Rs.1,890

(4) Rs.2,100

(5) None of these

 

Question No : 82

The ratio of number of males and number of females in village X is 11 : 7 respectively. If in village Y, the number of males is 20% more than the number of males in village X and the number of females is 12% less than those in village X, then what will be the respective ratio of males to females in village Y ?

(1) 15 : 11

(2) 17 : 5

(3) 17 : 11

(4) 23 : 9

(5) 15 : 7