percentage test 2

1. If the length, breadth and height of a cube are decreased, decreased and increased by 5%, 5% and 20% respectively, then what will be the impact on the volume of the cube (in percentage terms)?

2. A’s salary is first increased by 25% and then decreased by 20%. The result is the same as B’s salary increased by 20% and then reduced by 25%. Find the ratio of B’s salary to that of A’s

3. A person saves 6% of his income. Two years later, his income shoots up by 15% but his savings remain the same. Find the hike in his expenditure.

4. Australia scored a total of x runs in 50 overs. India tied the scores in 20% less overs. If India’s average run rate had been 33.33% higher the scores would have been tied 10 overs earlier. Find how many runs were scored by Australia.

5. A family’s ratio of savings to expenditure for last month was 2 : 13. This month, due to unforseen expenditure, savings fell to 50% of the amount saved last month. Salary, last month was Rs. 10,000. This month there was increase of 15% in the salary, How much did the family spend this month?

6. The price of raw materials has gone up by 15%, labour cost was 25% on old price of raw material and now labour cost is 30% on new price of raw material. By how much percentage should there be a reduction in the usage of raw materials so as to keep the cost same?

7. The sum of the numbers of boys and girls in a school is 150. If the number of boys is x, the number of girls becomes x % of the total number of students. The number of boys is :

8 .The population of Mukherjee Nagar is 700. If it increases by 7.14% per annum (i.e., every year). Find the population of the Mukherjee Nagar after one year.

9. 600 students took the test on physics and chemistry. 35% students failed in Physics and 45% students failed in chemistry and 40% of those who passed in chemistry also passed in Physics, then how many students failed in both:

10. In an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes are invalid. If the total votes are 75000, what is the number of valid votes that the other person got ?

11. Selling price of a shirt and a coat is Rs. 4000. The cost price of a shirt is 58.33% of the cost price of a coat and so amount of profit on both the shirt and coat is same, then the price of the shirt could be :

12. In a class, the no. of boys is more than the no. of girls by 12%. The ratio of boys to girls is:

13. 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:

14. A fraction is reduced such that when it is squared and then its numerator is increased by 25% and the denominator is reduced to 80% it results in 5/8 of the original fraction. The product of the numerator and denominator is:

15. In the rajesh’s family the ratio of expenses to the savings is 5 : 3. But his expenses is increased by 60% and income increases by only 25% thus there is a deficit of Rs. 3500 in savings.The increased income of Rajesh’s family is

16. In the Presidency College two candidates contested a presidential election. 15% of the voters did not vote and 41 votes were invalid. The elected contestant got 314 votes more than the other candidate. If the elected candidate got 45% of the total votes in the voting list. The individual votes of each candidates are :

17. A, B, C and D purchased a Batra-multiplex for Rs. 56 lakh. The contribution of B, C and D together is 460% that of A, alone. The contribution of A, C and D together is 366.66% that of B’s contribution and the contribution of C is 40% that of A, B and D together. The amount contributed by D is :

18. 8 % of the voters in an election did not cast their votes. In this election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was:

19. In every month Rajesh consumes 25 kg rice and 9 kg wheat. The price of rice is 20% of the price of wheat and thus he spends total Rs. 350 on the rice and wheat per month. If the price of wheat is increased by 20% then what is the percentage reduction of rice consumption for the same expenditure of Rs. 350 ? Given that the price of rice and consumption of wheat is constant.

20. Two numbers are in the ratio 2 : 3. If the 20 % of the smaller number added to 20 is equal to the sum of 10% of the larger number and 25, then the smaller number is :