Comparing quantities

When

Ratio

Percentage

Comparing to quantities

1/4

1:4

To convert

Ratio to percentage

Percentage to ratio

1/4 *100

25%

25%

25/100=1/4

Decrease% or increase%

Decrease

Original number

*100

Increase

Original Number

*100

Profit is given sp>cp

gain%=gain/cp*100

C.P=(100)/100+gain% *sp

S.P=(100+gain%)/100*cp

Gain=sp-cp

Loss is given cp>sp

S.P=(100-loss%)/100*cp

C.P=(100)/100-loss% *sp

loss=cp-sp

loss%=loss/cp*100

Interest

Simple interest

SI=P×T×R /100

Amount= P+SI

Compound interest

A=P(1=R/100)n

If rate of interest is different

A=P(1+r/100)n (1+q/100)

When time is in fraction and compounded annually

A=P(1+R/100)n (1+n×R/100)

Amount after n years compounded half year

A=P(1+R/2×100)2n

Compounded quarterly

A=P(1+R/4×100)4n

some other formulae

SP= Marked price- Discount

MP= SP + discount

Discount= Discount% of MP

Discount=MP-SP

Sales tax= TAX% of original price

Bill amount= Sales tax% of original price