Bhai bohot urgent hai please answer
3. A shopkeeper lists his goods in such a way that after allowing a discount of 20%, he
gains 52%. How much per cent above the C.P. is the list price of his goods?
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Answer:
let CP of goods=x rs
he gain 52% on goods
we know, gain
%=(SP-CP)/CP×100=52
(SP-x)/x ×100=52
sp-x/x = 52/100=13/25
cross multiply,
25sp-25x=13x
25 SP = 38x
SP =38x/25
he sold goods at 38x/25rs
he gives discount of 20%
let he list rate as y rs
20% of y= 20y/100=y/5
after discount amount = y-y/5=4y/5
we know it is equal to SP =38x/25
so ,38x/25=4y/5
y=19x/10
difference between list price and CP= y-x=19x/10 -x = 9x/10
percentage= (9x/10)100/x = 90%
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