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after allowing a discount of 10% on the marked price,a trader makes a profit of 26%.by what per cent is the marked price above cost price?

Answer :

Let the C.P. be Rs.100
Then,S.P.=C.P.*(100+Profit%)/100=100*126/100=Rs.126
Let the Marked Price be Rs.x
Discount=10% of x=x/10
S.P.=M.P.-Discount=x-x/10
=9x/10
But S.P. is also equal to Rs.126
According to the sum,
9x/10=126
or,x=126*10/9=140
therefore,M.P.=Rs.140
He has marked the item Rs.40 above C.P.
Percentage increase=Increase/C.P.*100
=40/100*100=40%
Ans:The M.P. is above the C.P. by 40%(In other words, The trader marked the item 40% above the C.P.)

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