17. A shopkeeper offers his customers 10% discount and still cars a profit of 25%. What is
the actual cost of the article marked at rs 500?
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Answer:
Discount given = 10%
So, selling price = 500 - 500*10%
= 500 - (500*10)/100
= 500 - (5*10)
= 500 - 50
= 450
Now, shopkeeper earns a profit of 25%
Let cost price is x
Now x + x*25% = 450
=> x + 25x/100 = 450
=> x + x/4 = 450
=> (4x + x)/4 = 450
=> 5x/4 = 450
=> 5x = 450*4
=> x = (450*4)/5
=> x = 90*4
=> x = 360
So, the actual cost of the article is Rs. 360
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