how much percent above the cost price should A shopkeeper marks his goods so that after allowing a discount of 20% on the Marked price he gains 30%
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Answer:
for allowing 20% discount , 80% of m.p. = s.p. so, m.p. = 140rs. so he should mark 40% above the cost price.
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Let marked price be Rs 100
Discount=Rs(
100
10
×100)=Rs 10
∴ Selling price Rs 90
Let east price beRs x
Profit=Rs
100
8x
∴ Selling Price Rs
100
108x
Now,
100
108x
=90
or, x=
108
90×100
=83.33
∴ Cost price=Rs 83.33
Amount masked above CP =Rs(100−83.33)
=416.67
∴ Percentage of masked price above CP
=
83.33
16.67
×100
=20%
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