an article was marked 40percent above cost price and a discount of 35percent was given on its marked price.find the gain or loss percent made by the shopkeeper.
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Let the cost price be Rs a
Marked price = a + 40 % of a
= a + 4a/10
= 14a/10
= 7a/5
Selling price = Marked price - Discount
= 7a/5 - 35 % of 7a/5
= 7a/5 - 35 × 7a / 5 × 100
= 7a/5 - 49a/100
= ( 140a - 49a) / 100
= 91a/100
Loss = a - 91a/100
= 9a/100
Loss percent = Loss × 100 / Cost price
= 9a × 100 / a × 100
= 9 %
Loss = 9 %
Marked price = a + 40 % of a
= a + 4a/10
= 14a/10
= 7a/5
Selling price = Marked price - Discount
= 7a/5 - 35 % of 7a/5
= 7a/5 - 35 × 7a / 5 × 100
= 7a/5 - 49a/100
= ( 140a - 49a) / 100
= 91a/100
Loss = a - 91a/100
= 9a/100
Loss percent = Loss × 100 / Cost price
= 9a × 100 / a × 100
= 9 %
Loss = 9 %
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