Problems on Percentage

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?

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:

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?

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?

In an examination of SSC $40\%$ students failed in Mathematics and $30\%$ failed in English, while $20\%$ failed in mathematics and English both, what percentage of the students passed in both?

What will come in place of the question mark $(?)$ in the following question?

$25.25\%$ of $512=?$

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

What is the ratio of the total number of girls to the number of boys who failed in the exam$?$

Study the following table carefully and answer the questions given below.
Production of a motorbike by $5$ companies in various years (in thousands)

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.

What is the difference between the number of boys who are passed and the number of girls who are failed?

A student multiplied a number by $\frac{3}{5}$ instead of $\frac{5}{3}$. What is the percentage error in the calculation?

Two students appeared at an examination. One of them secured $9$ marks more than the other and his marks were $56\%$ of the sum of their marks. Find the marks obtained by them.

What will come in place of question-mark (?) in the following questions ?

$19\% of 2570 = 35\% of 628 + ?$

The length of a rectangle is reduced by  $20\%$. By what percent would the width have to be increased to maintain the original area?

The population of a town increased from $1,75,000$ to $2,62,500$ in a decade. Find the average per cent increase of population per year.

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

What is the sum of the number of boys who failed and the number of girls who passed in the exam?

If the price of an article is increased by $15\%$ and the total number of articles sold in decreased by $10\%$, then the effect on gross receipt of the shop is:

If the selling price of $500$ items is the same as the cost price of $600$ items, then find the percentage profit/loss?

In a certain school, $20\%$ of students are below $8 \mathrm{years}$ of age. the number of students above $8 \mathrm{years}$ of age is $\frac{2}{3}$ of the number of students of $8 \mathrm{years}$ age which is $48$. what is the total number of students in the school?

A Restaurant chain is located in $12$ different cities each of $20$ outlets and each such outlet consists of $49$ employees. This restaurant removed its outlets in few cities and after arranging their employees without firing anyone, the new number of outlets in each city is $21$ with a number of employees per outlet being $70$ . The percentage reduction in the number of cities is closest to: