Percentage – Set 3

2) There are 600 boys in a hostel. Each plays either hockey or football or both. If 75% play hockey and 45% play football, how many play both ?

5) 10% of the voters did not cast their vote in an election between two candidates. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. The number of voters enrolled on the voters list was :

6) The contents of a certain box consist of 14 apples and 23 oranges. How many oranges must be removed from the box so that 70% of the pieces of fruit in the box will be apples ?

8) Income tax is raised from 4 paise to 5 paise in a rupee but the revenue is increased by 10% only. Find the decrease percent in the amount taxed.

9) Two vessels contain equal quantities of 40% alcohol. Sachin changed the concentration of the first vessel to 50% by adding extra quantity of pure alcohol. Vivek changed the concentration of the second vessel to 50% replacing a certain quantity of the solution with pure alcohol. By what percentage is the quantity of alcohol added by Sachin more/less than that replaced by Vivek ?

10) 0.01 is what percent of 0.1 ?

11) Solve this : 15% of 578 + 22.5% of 644 = ?

12) Anand has drawn an angle of measure 45° 27′ when he was asked to draw an angle of 45° . The percentage error in his drawing is ?

14) Subtracting 6% of x from x is equivalent to multiplying x by how much ?

15) Nagaraj could save 10% of his income. But 2 years later, when his income increased by 20%, he could save the same amount only as before. By how much percentage has his expenditure increased ?

16) 6 c.c. of a 20% solution of alcohol in water is mixed with 4 c.c. of a 60% solution of alcohol in water. The alcoholic strength of the mixture is?

17) Find the number : 125% of 3060 – 85% of (?) = 408

18) The population of a variety of tiny bush in an experimental field increased by 10% in the first year, increased by 8% in the second year but decreased by 10% in the third year. If the present number of bushes in the experimental field is 26730, then the number of bushes in the beginning was :

19) The enrolment of students in a school increases from 560 to 581. What is the percent increase in the enrolment ?

20) The population of a town is 1771561. If it had been increasing at 10% per annum, its population 6 years ago was :

21) In a graduate class of 200, 40% are women and 15“>1/5 become lecturers. If the number of men who become lecturers is twice that of women, calculate approximate percentage of men who became lecturers.

23) When 125 is subtracted from a number, it reduces to its 37.5 percent. What is 25 percent of that number ?

25) In an examination, 30% and 35% students respectively failed in History and Geography while 27% students failed in both subjects. If the number of students passing the examination is 248, find the total number of students who appeared in the examination.

26) The price of a car is Rs. 325000. It was insured to 85% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received ?

27) If the average of number, its 75% and its 25% is 240, then the number is :

28) David and his wife each receives an 8 percent annual rise. If David receives a raise of Rs. 800 and his wife receives a raise of Rs. 840, what is the difference between their annual incomes after their raises ?

29) An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank ?

31) 10% of 5 and 5% of 10 add up to

32) In an election, a total of 500000 voters participated. A candidate got 255000 votes which was 60% of total valid votes. What was the percentage of invalid votes :

33) The charges for a five-day trip by a tourist bus for one full ticket and a half-ticket are Rs. 1440 inclusive of boarding charges which are same for a full ticket and a half-ticket. The charges for the same trip for 2 full tickets and one half-ticket inclusive of boarding charges are Rs. 2220. The fare for a half-ticket is 75% of the full ticket. Find the fare and the boarding charges separately for one full ticket.

34) Nandini Basu bought an article for Rs. 5844. She gave Rs. 156 to a mechanic to remove its defect. She then sold it for Rs. 5700. What was her loss percent ?

35) The population of a town is 189000. It decreases by 8% in the first year and increases by 5% in the second year. What is the population of the town at the end of 2 year ?

39) At the college entrance examination, each candidate is admitted or rejected according to whether he has passed or failed the tests. Of the candidates who are really capable, 80% pass the tests and of the incapable, 25% pass the test. Given that 40% of the candidates are really capable, the proportion of capable college students is about:

40) If Rs. 2800 is 27“>2/7  percent of the value of a house, the worth of the house (in Rs.) is :

41) 40% of 265 + 35% of 180 = 50% of ?

42) What percent of 7.2 kg is 18 gms ?

43) In a year, a man manages to sell only 65% of the chicken he owns. How many chicken should the man own to sell 47775 chicken in a years ?

44) By how much percent must a motorist increase his speed in order of reduce by 20%, the time taken to cover a certain distance ?

46) From a container having pure milk, 20% is replaced by water and the process is repeated thrice. At the end of the third operation, the milk is :

47) In an examination it is required to get 40% of the aggregate marks to pass. A student get 261 marks and is declared failed by 4% marks. What are the maximum aggregate marks a student can get ?

48) If x 80% of y, then what percent of 2x is y ?

50) An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half-empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol at present in the tank ?