A scooter dealer allows a discount of 16% on the marked price .However , he still makes a profit of 20% on the C.P . Find the profit percent he would have made, had he sold the scooter at the M.P.
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Let the marked price be 'M'and cost price be 'C'.
Selling price when 16% is discounted is ' (0.84)M '.
He makes a profit of 20% i.e. (0.84)M-C=(0.20)C → M=(120÷84)C.
If he had sold it at M, the profit fraction he would have made is (M-C)÷C = (120-84)÷(84) = 3/7.
Then profit percent is (3/7)×100%= 42.857%
Selling price when 16% is discounted is ' (0.84)M '.
He makes a profit of 20% i.e. (0.84)M-C=(0.20)C → M=(120÷84)C.
If he had sold it at M, the profit fraction he would have made is (M-C)÷C = (120-84)÷(84) = 3/7.
Then profit percent is (3/7)×100%= 42.857%
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