Question

when an object is sold at 15 percent loss then determine the ratio of cost price and sell price.

Answer 1

                                              Maths Work
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If , object sold at 15% loss ---

100% is the total cost price. then sell price ratio will be 75:100

More simply.. by making it a fraction - 75/100 and cutting it down - 3/4 
the ratio will be 3:4 - sell price ratio(S.P).

cost price = 4:4
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 -> Experimenting with numbers

To understand all these ... much clearly.. then lets take the example of $100.

Suppose, the cost price is $100. Given, the loss is $15, we can determine the cost price as $75.
Because, $S.P= C.P - Loss$

Clue: S.P = Sell price
          C.P= Cost price 
           
In this way, the ratio can be determined as:

S.P= 75:100 or 3/4
C.P= 100:100 or 4/4

Tip: Always understand math problems by experimenting with given percentages.  
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                                           Conclusions
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So, after all those math work , I more specifically conclude ---

the ratio of C.P(cost price) = 4:4

the ratio of S.P(sell price)= 3:4