Percentage – Set 5

1) In a village, each of the 60% of families has a cow; each of the 30% of families has a buffalo and each of the 15% of families has both a cow and buffalo. In all there are 96 families in the village. How many families do not have a cow or a buffalo ?

2) An individual pays 30% income tax. On this he has to pay a surcharge of 10%. Thus, the net tax rate, he has pay is :

3) A number if reduced by 25% becomes 225. By what percent should it be increased so that it becomes 375 ?

4) The value of a machine is Rs. 6250. 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 ?

5) A person gave 20% of his income to his elder son, 30% of remaining to the younger son and 10% of the balance, he donate to a trust. He is left with Rs. 10080. His income was :

6) Tulsiram’s salary is 20% more then that of Kashyap. If Tulsiram saves Rs. 720 which is 4% of his salary, then Kashyap’s salary is :

7) Two numbers A and B such that the sum of 5% of A and 4% of B is 23“>2/3rd of the sum of 6% of A and 8% of B. The ratio A : B is –

8) If a man receives on one-fourth of his capital 3% interest, on two third 5% and one the remaining 11%, the percentage interest he receives on the whole is :

10) The population of a town increases every year by 4%. If population was 50000 in starting, then after two years will be :

11) In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those students who passed in both the subjects ?

12) In an examination, 35% of the candidates failed in Mathematics and 25% in English. If 10% failed in both Mathematics and English, then how much percent of candidates passed in both the subjects ?

13) An army lost 10% of its men in war. 10% of the remaining died due to disease and 10% of the rest were declared disabled. Thus the strength of the army was reduced to 729000 active men. The original strength of the army was :

14) If the population of a town is 64000 and its annual increase is 10%, then its population at the end of 3 years will be :

18) The population of a village has increased annually at the rate of 25%. If at the end of 3 years it is 10000, the population in the beginning of the first year was :

19) The ratio of the number of boys to that of girls in a school is 4 : 1. If 75% of boys and 70% of the girls are scholarship holders, then the percentage of students who do not get scholarship is :

20) Out of his total income, Mr. Kapur spends 20% on house rent and 70% of the rest on house hold expenses. If he saves Rs. 1800 what is his total income (in Rs.) ?

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

22) A man spends 75% of his income. His income increased by 20% and he increased his expenditure by 15%. His savings will then be increased by :

23) In 2 kg mixture of copper and aluminium, 30% is copper. How much aluminium powder should be added to the mixture so that the quantity of copper becomes 20% ?

25) The percentage increase in the surface area of a cube when each side is doubled is :

26) A saves 20% of his monthly salary. If his monthly expenditure is Rs. 6000, then his monthly savings is :

27) If 90% of A = 30% of B and B = 2x% of A, then the value of x is :

28) A man had a certain amount with him. He spent 20% of that to buy any article and 5% of the remaining on transport. Then he gifted Rs. 120. If he is left with Rs. 1400, the amount he spent on transport is :

29) The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examinations ?

31) At an election there were two candidate got 38% of votes and lost by 7200 votes. The total numbers of valid votes were :

32) Out of two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is :

33) The difference of two numbers is 15% of larger sum. The ratio of the larger number to the smaller number is :

37) 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 :

39) If three-fifth of sixty percent of a number is 36, the number is :

41) A reduction of 20% in the price of wheat enables Bhuvnesh to buy 5 kg more wheat for Rs. 320. The original rate (in rupees per kg) of wheat was :

42) The income of a company increases 20% per annum. If its income is Rs. 2664000 in the year 2012. Then its income in the year 2010 was :

44) 18% of which number is equal to 12% of 75 ?

46) In a college, 40% of the students were allotted group A, 75% of the remaining were given group B and the remaining 12 students were given group C. Then the number of students who applied for the group is :

49) In a town, the population was 8000. In one year, male population increased by 10% and female population increased by 8% but the total population increased by 9%. The number of males in the town was :

50) Two numbers are respectively 20% and 50% of the third number. What percent is the first number of the second ?