Quantitative Aptitude Notes – Number System – Percentages -For W.B.C.S Examination.

Percentage
Percent means many hundredths.Example: z% is z percent which means z hundredths. It will be written as,Continue Reading Quantitative Aptitude Notes – Number System – Percentages -For W.B.C.S Examination.

z% = z⁄100

p⁄q as percent: (p⁄q x 100)%

Commodity
If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is:

[R⁄(100 + R)x 100]%
If the price of a commodity decreases by R%, then the increase in consumption so as not to decrease the expenditure is:

[R⁄(100 – R)x 100]%

Population
The population of a city is P and let it increases at the rate of R% per annum:

Population after t years: P(1 + R⁄100)t

Population t years ago: P⁄(1 + R⁄100)t

Depreciation
Let V be the present value of machine. Suppose it depreciates at the rate of R% per annum:

Machine’s value after t years:P(1 – R⁄100)t

Machine’s value t years ago: P⁄(1 – R⁄100)t

If P is R% more than Q, then Q is less than P by how many percent?

[R⁄(100 + R)x 100]%
If P is R% more than Q, then Q is more than P by how many percent?

[R⁄(100 – R)x 100]%

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