Problems on Percentage

In an examination, $52\%$ students failed in Hindi and $42\%$ in English. If $17\%$ failed in both the subjects, what percentage of students passed in both the subjects?

What percent of $7.2kg$ is  $18gm?$

In a competitive examination in State A,$6\%$ candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and $7\%$candidates got selected with $80$ more candidates got selected than A. What was the number of candidates appeared from each State?

The population of a colony was $3600$ three years back. It is $4800$ right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounded annually?

In a class, $55\%$ students passed in Chemistry and $60\%$ passed in Maths, $50\%$ passed in both of these subjects. If $70$ students failed in both Chemistry and Maths, then what is the total number of students?

$40\%$ of a number when added to the square of the same number, then it is increased to $4040\%$ of itself the actual number is:

Amit deposited two parts of a sum of ₹ 25000 in different banks at the rates of 15% per annum and 18% per annum respectively.In one year he got ₹ 4050 as the total interest.What was the amount deposited at the rate of 18% per annum?

The difference is selling an article at profits of$4\%$ and $6\%$ is $₹12$. The cost price of the article is-

Find the cost price of the article. If a man sells an article at $5\%$ above its cost price. If he had bought it at$5\%$ less than what he paid for it and sold it for $₹2$ less, he would have gained $10\%$.

In a factory, producing parts of an automobile, the parts manufactured on the shop floor are required to go through quality checks, each conducted after a specific part of the processing on the raw material is completed. Only parts that are not rejected at one stage are put through subsequent stages of production and testing. If average rejection rates at these three testing stages during a month are $10\%, 5\%\text{ and} 2\%$respectively, then what is the effective rejection rate for the whole plant?

In a quarterly examination a student secured $30\%$marks and failed by$12$ marks. In the same examination another student secured $40\%$ marks and got $28$ marks more than minimum marks to pass. The maximum marks in the examination is

The value of furniture is $₹ 9000$. If depreciation per year is $10\%$ of the value at the beginning of each year, the value of furniture after $3$ years will be:

Two numbers are respectively $25\%$ and $20\%$ less than a third number. What percent is the first number of the second.

Thirty-five percent of $740$ is $34$ more than a number. What is two-fifth of the number?

From a class, total $360$ students appeared in an exam. Three fourth of these are boys. $40\%$ of boys failed in the exam, two-third of the girls are failed in the exam and the remaining passed.

The total number of boys passed is approximately what percent of the total number of girls in the class?

The ratio of the number of Boys and Girls in a school is $3 : 2$  If $20\%$of the boys and $25\%$ of the girls are scholarship holders, then the percentage of the students, who do not get the scholarship, is:

A man spends $75\%$ of his income. If his income increases by $20\%$ and his expenditure increases by $10\%$, then what is the percentage increase in his savings?

A wooden boat with a density of 0.48 g/cc is floating in a vat of oil whose density is
0.80 g/cc.
What percentage of the boat is floating above the surface of the oil?

The population of a town is $₹ 50,000$. It decreases by $20$ per thousand per year. Find out the population after $2$ years.

Two concentric circle radii 6 cm and 10 cm respectively tangent of the smaller circle is chord of larger circle then find the length of tangents-