Percentage – Set 9

1) Two students appeared at an examination. One of them secured 9 marks more than the other and his marks was 56% of the sum of their marks. The marks obtained by them are:

2) Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

4) For an examination it is required to get 36% of maximum marks to pass. A student got 113 marks and failed by 85 marks. The maximum marks for the examination are:

5) If 75% of the students in a school are boys and the number of girls is 420, the number of boys is:

6) If A exceeds B by 40%, B is less than C by 20%, then A : C is

8) Two tailors X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

11) A fruit seller had some apples. He sells 40% apples and still has 420 apples. Originally, he had:

12) In a class, the no. of boys is more than the no. of girls by 12% of the total strength. The ratio of boys and girls is:

13) The total emoluments of A and B are equal. However, A gets 65% of his basic salary as allowances and B gets 80% of his basic salary as allowances. What is the ratio of the basic salaries of and B?

14) x * 12 = 75% of 336 Find x.

15) Two discount of 8% and 12% are equal to a single discount of:

16) 78% of 750 + 34% of x = 30% of 2630. Find x.

18) Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

20) Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.

21) In an election 4% of votes cast are invalid. A candidate gets 55% of casted votes and wins the election by 4200 votes. Find the total number of votes casted.

22) 1% of 1% of 25% 1000 is:

23) In a certain school, 20% of students are below 8 years of age. The number of students above 8 years of age is 23“>2/3 of the number of students of 8 years of age which is 48. What is the total number of students in the school?

25) A gardener increased the rectangular garden by increasing its length by 40% and decreasing its width by 20%. The area of the new garden:

26) A spider climbed 1252“>125/2% of the height of the pole in one hour and in the next hour it covered 252“>25/2 % of remaining height. If pole’s height is 192 m, then distance climbed in second hour is:

27) The schedule working hour of a labour in a week if 48 hours and he gets Rs. 480 for that. Over time rate is 25% more than the the basic salary rate. In a week a labour gets Rs. 605, how many hours altogether he works in that week.

29) 125% of 860 + 75% of 480 = ?

30) If 20% of a = b, then b% of 20 is the same as:

31) Due to fall of 10% in the rate of sugar, 500 gm more sugar can be purchased for Rs. 140. Find the original rate?

32) A shop sells floor tiles at Rs. 48 per square meter. A contractor employs a machine that polishes the tiles that damages 10% of the total number of tiles which cannot be used any more. Calculate the amount that needs to be paid by contractor to tile shop owner, if the hall is of a square shape and has a perimeter of 400 meters?

35) 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?

39) Population of a district is 2,96,000 out of which 1,66,000 are male. 50% of the population is literate. If 70% males are literate, then the number of woman who are literate, is

40) What percentage of numbers from 1 to 70 have 1 or 9 in the unit’s digit?

41) In a test, minimum passing percentage for girls and boys are 45% and 60% respectively. A boy scored 767 marks and failed by 313 marks. What are the minimum passing marks for girls?

42) A person subscribing to sky cable for a year pack Rs. 1785. If the monthly subscription is Rs. 175, how much discount does a yearly subscriber get?

44) A big cube is formed by rearranging the 160 coloured and 56 non-coloured similar cubes in such a way that the expouser of the coloured cubes to the outside is minimum. The percentage of exposed area that is coloured is:

45) The population of a village is 5000 and it increases at the rate of 2% every year. After 2 years, the population will be:

46) In an election 4% of the votes caste become invalid. Winner gets 55% of casted votes and wins the election by a margin of 4800 votes. Find the total number of votes casted.

47) The population of a village increase by 5% annually. If its present population is 4410, then its population 2 years ago was:

49) Two numbers are respectively 20% and 50% of a third number. What per cent is the first number of second?

50) Distance between A and B is 72 km. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed of 4 km/hr. The other man traveled with varying speed as follows: In the first hour his speed 2 km/hr, in the second hour it was 2.5 km/hr, in the third hour it was 3 km/hr, and so on. When / where will they meet each other?