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Formulas for calculating Percentage  Aptitude Questions and Answers.
TIPS FOR SOLVING QUESTIONS RELATED TO PERCENTAGE:
Percentage: A fraction whose denominator is 100 is called percentage. The numerator of the fraction is called the rate percent.
1. To express x% as a fraction: 2. To express fraction as percentage, we have
3. If A is R% more than B, then B is less than A by
4. If A is R% less than B, then B is more than A by

5. If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the
expenditure is:
\begin{aligned}
\left[ \frac{R}{(100+R)}\times 100 \right]\%
\end{aligned}
6. If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the
expenditure is:
\begin{aligned}
\left[ \frac{R}{(100R)}\times 100 \right]\%
\end{aligned}
7. Let the population of a town be P now and suppose it increases at the rate of R% per annum, then
\begin{aligned}
1. & \text{Population after n years = }P\left(1+\frac{R}{100}\right)^n \\
2.& \text{Population before n years =} \frac{P}{\left(1+\frac{R}{100}\right)^n} \\
\end{aligned}
8. Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annum. 9. For two successive changes of x% and y%, net change
