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History

Ancient India
Medieval India
Modern India
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World history
Art & culture

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Percentage

Percentage: Formulas, Shortcuts and Solved Examples

A percentage is a fraction out of 100. It lets you compare numbers on one common…
If the population of a town is P and grows at R% per annum, its population after n years is given by what formula?
For two successive percentage changes of x% and y%, the net percentage change is given by which formula?
If the price of a commodity decreases by R%, the required increase in consumption to keep expenditure unchanged is expressed as what?
If the price of a commodity increases by R%, the required reduction in consumption to keep expenditure unchanged is expressed as what?
If a certain value p decreases by x%, the decreased value is expressed as what?
If a certain value p increases by x%, the increased value is expressed as what?
A man’s income is increased by 30% and his expenditure by 8%. If his expenditure was 80% of his income, find the percentage increase in his savings.
A man’s income is increased by 21% and his expenditure by 3%. If his expenditure was 60% of his income, find the percentage increase in his savings.
A man’s income is increased by 26% and his expenditure by 10%. If his expenditure was 60% of his income, find the percentage increase in his savings.
A man’s income is increased by 13% and his expenditure by 3%. If his expenditure was 70% of his income, find the percentage increase in his savings.
A man’s income is increased by 21% and his expenditure by 6%. If his expenditure was 75% of his income, find the percentage increase in his savings.
A man’s income is increased by 18% and his expenditure by 4%. If his expenditure was 65% of his income, find the percentage increase in his savings.
A man’s income is increased by 14% and his expenditure by 6%. If his expenditure was 65% of his income, find the percentage increase in his savings.
A man’s income is increased by 29% and his expenditure by 3%. If his expenditure was 75% of his income, find the percentage increase in his savings.
A man’s income is increased by 15% and his expenditure by 2%. If his expenditure was 65% of his income, find the percentage increase in his savings.
A man’s income is increased by 24% and his expenditure by 18%. If his expenditure was 65% of his income, find the percentage increase in his savings.
A man’s wage is reduced by 25%. The reduced wage is then increased by 25%. What is his overall loss, as a percentage of the original wage?
A man’s wage is reduced by 20%. The reduced wage is then increased by 20%. What is his overall loss, as a percentage of the original wage?
A man’s wage is reduced by 60%. The reduced wage is then increased by 60%. What is his overall loss, as a percentage of the original wage?
A man’s wage is reduced by 10%. The reduced wage is then increased by 10%. What is his overall loss, as a percentage of the original wage?
A man’s wage is reduced by 50%. The reduced wage is then increased by 50%. What is his overall loss, as a percentage of the original wage?
A man’s wage is reduced by 40%. The reduced wage is then increased by 40%. What is his overall loss, as a percentage of the original wage?
A man’s wage is reduced by 30%. The reduced wage is then increased by 30%. What is his overall loss, as a percentage of the original wage?
The population of a town is 50000. If it increases at the rate of 8% per annum, what will its population be after 2 years?

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