Find a single discount equilent to the discount series of 20 10 5 ........

Quantitative Aptitude (CDS) Profit and loss

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Find a single discount equilent to the discount series of 20%,10%,5%?

31.6%

68.4%

50%

60%

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Explanation:

let a value is x
20% of x=x/5
after discount is=x-x/5=4x/5
10% of 4x/5 =4x/50
after second discount 4x/5 -4x/50 =36x/50
5% of 36x/50 =36x/1000
after third discount value is 36x/50 - (36x/1000) =(720x-36x) /1000
% remaining value is =((720x -36x) /1000)100/x
=68.4 %
after three consecutive discount value remaining percentage is= 68.4%
single discount percent is =(100-68.4)
=31.6%