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Question

The price of an article reduces to 576 after two successive, discounts. The markup is 80% above the cost price Rs. 500. What is the new profit percentage if instead of two successive discounts the markup price was further increased successively two times by the same percentage?

A
259.2%
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B
59.2%
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C
159.2%
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D
can't be determined
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Solution

The correct option is C 159.2%
CPSPMP500576900
Again SP=MP[(1r100)2][r rate of discount in %]
576=900(1r100)22430=(1r100)r=20%
Again, new SP=MP(1+r100)2=900(1+20100)2=1296
New, profit percentage =SPCPCP×100=1296500500×100=159.2%

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