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?

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?

The price of a Scooter and a Moped are in the ratio $9 : 5$. If a Scooter costs $₹6800$ more than a Moped, then find the price of a Scooter.

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

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.

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.

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:

Investment of A is $25\%$ less than B and A gets Rs. $5400$ as profit share out of total profit of Rs. $10200$. Find period of investment of B is what percent of that of A?

A shopkeeper gives a discount of $28\%$ on marked price of article P and selling price of article Q is $33 \frac{1}{3}\%$ more than the selling price at article P, if shopkeeper made $20\%$ profit on article Q and selling price of article P was $\mathrm{Rs} 200$ less than cost price of article Q, then find the cost price of article P, which shopkeeper sold at profit of $20\%$?

If circumference of a circle increases by $200\%$ then area of the circle increases by

What would be the resultant value if $60\%$ of $800$ is added to the difference of $53\frac{1}{3}\%$ of $300$and $31.25\%$ of $400$?

The present age of A is $20\%$ less than his age in three years from now. What will be his age after five $\mathrm{years}$?