Percentage – Set 3

1) 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 ?

2) 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 ?

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

7) What percent of 7.2 kg is 18 gms ?

8) 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 :

9) 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 ?

10) 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.

11) 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 :

12) 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.

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

14) 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 ?

15) 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 ?

17) 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 ?

18) 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.

19) 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 ?

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

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

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

23) 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 :

24) 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.

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

28) 40% of 265 + 35% of 180 = 50% of ?

29) 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?

34) 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:

36) 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 ?

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

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

39) 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 ?

42) 0.01 is what percent of 0.1 ?

43) 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 ?

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

45) 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 :

46) 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 ?

47) 10% of 5 and 5% of 10 add up to

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

49) 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 ?

50) 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 ?