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A shopkeeper labels the price of article 15% above the cost price. If he allows Rs 51.20 discount on an article of Rs 1024. Find his profit percent.

9.72%
9.25 %
9 %
8.5%
Explanation:

According to the question,

If the label price = 115 then CP = 100.

So, label price = 1024 then the cost price is (100/115) $\times$ 1024 = 890.4347.

Now C.P(cost price) = 890.4347.

He allows 51.20 discount on S.P(selling price).

So, Original S. P= (1024 - 51.20) = 972.8.

So, Percentage Profit

=> [(S.P - C.P) $\times$ 100]/C. P

=> (972.8 - 890.4347)/890.4347 = 9.25%.

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