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A shopkeeper allows his cusotmers 20% off on the MP of a goods& still gets a profit of 25% what is the cost of article marked Rs 500



The allowed discount percentage=20%.
⇒Discount =Rs.  \frac{20}{100} * MP
 \frac{20}{100} *500
Now , we have to find the C.P. of the article (price at which shopkeeper brought it)
Let the C.P. be x.
Profit=25% of x = \frac{25}{100} * x
= \frac{x}{4}
In case of a profit,
S.P.=C.P.+ Profit  
Given , Rs.400=Rs. x + Rs \frac{x}{4}
or, 400 =  \frac{(4x+x)}{4}
or, 400 = \frac{5x}{4}
or, x=400 *  \frac{4}{5} (cross multiplication)
or ,x=320
Ans:The Market Price is Rs.500 ; the Selling Price is Rs.400 , the Cost Price is Rs.320.
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Let cost price be Rs. x

So, Selling price = Rs.(500-20/100*500) = Rs. 400

So, x + 25% of x = 400
or, 5x/4 = 400
or, x = 320

So, cost price = Rs. 320
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