How much percent above the cost price should a shopkeeper mark his goods so that after allowing an discount of20% he still earns a profit of 20%
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Let the CP be Rs. x.
Profit % = 20%
SP = (1+r/100)*CP
= (1+20/100)*Rs.x
= Rs.6x/5
Discount% = 20%
SP = (1-d/100)*MP
Rs. 6x/5 = (1-20/100)*MP
Rs.6x/5 = 4/5 *MP
MP = RS.6x/5*5/4
= RS 3x/2
Difference of MP and CP = RS. 3x/2 - Rs. x
= Rs x/2
Percent = Diff./CP *100
= (Rs.X/2)/Rs. x/100
= 50%
Ans.=The shopkeeper should mark his goods 50% above the CP.
Profit % = 20%
SP = (1+r/100)*CP
= (1+20/100)*Rs.x
= Rs.6x/5
Discount% = 20%
SP = (1-d/100)*MP
Rs. 6x/5 = (1-20/100)*MP
Rs.6x/5 = 4/5 *MP
MP = RS.6x/5*5/4
= RS 3x/2
Difference of MP and CP = RS. 3x/2 - Rs. x
= Rs x/2
Percent = Diff./CP *100
= (Rs.X/2)/Rs. x/100
= 50%
Ans.=The shopkeeper should mark his goods 50% above the CP.
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