A shopkeeper sells two items, A and B. The ratio of the cost price of A to B is 3:4, respectively, and the ratio of the selling price of A to B is 58:69, respectively. A discount of 20% and 10% is offered on items A and B, respectively. If the profit earned on item B is 3.5%, then find the profit percentage on item A.
Let the cost price of items A and B be 300x and 400x respectively.
Selling price of item B = 400x×{(100+3.5)/100}=414x
Selling price of item A = 414x×{58/69}=348x
Profit on item A = 348x – 300 = 48x
Required profit = 48x/300x×100=16%
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