Percentages - Handout 2

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33)    In an election, two candidates contested. A candidate got 38% of the votes polled and lost his rival by 4800 votes. Find the total number of votes polled.

a) 18,000      b) 20,000 c) 24,000  d) 25,000

34)    In a school of 1500 students, 60% are boys. 60% of the boys and 80% of the girls received scholarships. What % of students in the school didn’t receive the scholarships?

a) 32%        b) 68%             c) 44%              d) 72%

35)    In an aptitude test, a student scored 60% in the Arithmetic section (out of 80 marks). How much should he score in the Reasoning section (out of 80) to qualify for the test, if the qualifying marks are  70% aggregate in both sections?

a)70 % b)55%              c)70%               d)80%

36)    A man spends 18% of his salary on house rent, 12% on groceries, 24% on children’s education, and 16% on all other expenses. Find his salary if he saves Rs 9,000 every month.

a)Rs 20,000     b)Rs 25,000      c)Rs 35,000      d)Rs 30,000

37)    In a college, 24% of the total students are studying CSE, 21% are studying ECE, 19% are studying ME, 17% are studying EEE, and the remaining 152 students are studying CE. How many students are studying ECE?

a)192    b)168               c)152                d)800

6)    In a library 20% of the books are in English, 25% of the remaining are in Sanskrit, 70%  of the remaining are in Telugu and the remaining 7200 books are in all other languages. How many books are there in the library?

a)40,000       b)48,000   c)56,000   d)60,000

7)    Mr.Gupta spends 25% of his salary on house rent, 40% of the remaining salary on groceries, and 20% of the remaining salary on other expenses, and he saves the remaining Rs 9000. What is his expenditure on groceries?

a)Rs 12,500  b)Rs 8,400        c)Rs 7,500       d)Rs 6,000

8)    In a library, 8 1/3% of the books are in English, 16 2/3 % of the remaining books are in Hindi, 9 1/11 % of remaining books are in Telugu, 60% of the balance are in Sanskrit, and the remaining 12000 books are in other languages. Find the total number of books in the library.

a)43,200      b)40,000   c)48,000   d)57,600

9)    Mr. Varma gave 35% of the money he had to his wife, 20% of the remaining money to his son and one-fourth of the amount now left was spent on his miscellaneous expenses, and the remaining Rs 78,000 was invested in mutual funds. How much money did he have initially?

a)Rs 1,69,000  b)Rs 3,00,000 c)Rs 2,00,000  d)Rs1,56,000

10)  Mr.Sharma decided to donate 20% of his annual salary to an NGO. On the day of the donation, he changed his mind and donated Rs 72,000, which was 60% of what he had decided earlier. What is the monthly salary of Mr. Sharma?

a)Rs 50,000  b)Rs 40,000   c)Rs 5,00,000     d)Rs 6,00,000

11)  In a group of 30 students and 4 teachers, each student received chocolates equal to 30% of the total number of students, and each teacher received chocolates equal to 50% of the total number of students. How many chocolates were distributed in total?

a)270    b)330               c)350                d)300

12)  The salary of A and B together is Rs 35000. A spends 55% of his salary and B spends 40% of his. What is the salary of A if their savings are the same?

a)Rs 15,000  b)Rs 25,000      c)Rs 30,000    d)Rs 20,000

13)  A spends 75% of his salary, and B saves 40% of his salary, and each of their savings is equal. What is the difference between the incomes of A and B, if their total income is Rs 65000?

a)Rs 15,000      b)Rs 7,500      c)Rs 13,000     d)Rs 17,500

14)  The salary of an employee increases from Rs 28000 to         Rs 35000, What is the percentage increase in his salary?

a) 20%     b) 15%   c) 30%            d) 25%

15)  The total number of students who joined an engineering college in 2020 was 560 and in 2021 was 480. What is the percentage decrease in the number of students joining from 2020 to 2021?

a)14.28%         b)18%    c)20%      d)25%

16)  The latest edition of an aptitude book consists of 600 pages. If 4 new chapters, each chapter consists of 30 pages added to the latest edition of the book, find the percentage increase in the number of pages of the book.

a)  25%         b)30%              c) 50%        d)  20%

17)  The weight of a packet is 36 kg. In a hurry, it is measured as 37.8 kg. What is the error % in measuring its weight?

a)  2%   b) 3%               c) 5%              d) 6% 

18)  The present population of a village is 12,000 and its population growth rate is 25% per annum. What will be its population after 2 years?

a) 15,000      b) 18,750 c) 17,500  d) 22,500

19)  The price of a laptop is Rs 25000. It decreases by 20% during the first year and increases by 30% during the 2nd year. Find its price after 2 years?

a) Rs 26,000   b) Rs 30,000   c) Rs 39000      d) Rs 28500

20)  The sales of a company decreased by 20% and by 25% in the last two successive years. If its present sales are          Rs 12,000 crores. What were its sales 2 years ago?

a)Rs 20,000 cr  b) Rs 18,000 cr c) Rs 15,000 cr  d)Rs 8,000

21)  The population of a small town increased by 25% every  4 years. What was the population of the village 8 years ago if the present population is 30,000?

a)18,000         b)20,830 c)24,000            d)19,200

22)  The prices of diesel and petrol are in the ratio of 5:8. If the

price of diesel is increased by 40% and the price of petrol is decreased by 25%,  find the ratio between the increased prices of petrol and diesel.

a)6:7        b)7:6                 c)5:8               d)7:10

23)  The salaries of the three employees are in the ratio of 4:5:10 respectively. If their salaries are increased by 50%, 20%, and 40% respectively, what will be the ratio of their new salaries?

a)6:9:14       b)3:3:7            c)6:8:15                d)None

24)  A person saves 13% of his salary. If his salary is increased by 30% and he saves 20% of his new income, by what percent his savings will increase?

a)50%  b)100%   c)75%               d)80%

25)  The income of a person is increased by 30% and afterward decreased by 30%. Find the overall percentage change in his income.

a)9% decrease b)60% increase c)3% increase  d)No change

26)  The price of a product increases by 25% and its sales decrease by 20%. What is the net change in sales revenue?

a)5% decrease b)5% increase c)15% increase  d)No change

27)  The length of a rectangle is increased by 20%, whereas the breadth is increased by 30%. Then net % change in area?

a)56% increase  b)10% increase  c)45% increase   d)None

28)  The profits of a company increase at a rate of 5% per annum. In the 2nd year, there is an additional increase of 3% in the profits due to sudden demand for its product. The % increase in the profits  after 2 years will be

a)10.25%      b)13.4%  c)10%               d)13%

29)  The side of a square is increased by 30%, what is the percentage increase in its area?

a) 60% b) 45%             c) 50%              d) 69%

30)  In measuring the sides of a floor of a room an error of 6% excess is made. Find the error percentage in its area.

a)12% excess                b)12.36% excess

c)8% decrease               d)8% decrease

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