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If on an item a shop gives 25% discount, they earn 25%
profit. If they now give 10% discount then what is the
profit percentage
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Answer Posted / nagraj
Consider the rate of item as 'x'
then discount of 25%= (75*x)/100=3*x/4
Now 3x/4 is the sold price.
but he will get a profit of 25% so
the cost price is(y) => (125%y)/100=3x/4
=> y =3x/5
Now he sell at 10% discount then cost price = 90*x/100=9x/10
Hence the % profit= (9x/10-3x/50)/(3x/5)
=50%
For example: 200 rp item. 25% discount means
75% of 200 is 150
so now 125% of actual cost price=150
so actual rate is=120
now 10% 200 is 20 rp so sold price=180
now (180-120)*100/120=50%
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