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A producer allows a commission of 36% on the retail price of his product and earns a profit of 8.8%.…

Take the retail price as 100, so the producer receives 64 after a 36 percent commission, and since this gives 8.8 percent profit the cost is \(\frac{64}{1.088} = 58.82\).…

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A producer allows a commission of 36% on the retail price of his product and earns a profit of 8.8%. What would be the profit of the producer (in percentage), if the commission is reduced by 24 percentage points?

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Take the retail price as 100, so the producer receives 64 after a 36 percent commission, and since this gives 8.8 percent profit the cost is 641.088=58.82\frac{64}{1.088} = 58.82. With the commission cut to 12 percent the producer receives 88, so the profit is 88−58.8258.82×100=49.6\frac{88-58.82}{58.82} \times 100 = 49.6 percent.

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