- Concept of Percentage:By a certain percent, we mean that many hundredths.Thus,
*x*percent means*x*hundredths, written as*x*%.To express *x*% as a fraction: We have,*x*% =*x*. 100 Thus, 20% = 20 = 1 . 100 5 To express *a*as a percent: We have, *a*= *a*x 100 %. *b**b**b*Thus, 1 = 1 x 100 % = 25%. 4 4 - Percentage Increase/Decrease:If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is:
R x 100 % (100 + R) If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is:R x 100 % (100 - R) - Results on Population:Let the population of a town be P now and suppose it increases at the rate of R% per annum, then:
1. Population after *n*years = P1 + R n 100 2. Population *n*years ago =P 1 + R n 100 - Results on Depreciation:Let the present value of a machine be P. Suppose it depreciates at the rate of R% per annum. Then:
1. Value of the machine after *n*years = P1 - R n 100 2. Value of the machine *n*years ago =P 1 - R n 100 3. If A is R% more than B, then B is less than A by R x 100 %. (100 + R) 4. If A is R% less than B, then B is more than A by R x 100 %. (100 - R)

# Percentage - Important Formulas |Aptitude

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