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  • A dealer marks his goods 35% above the c.p and then allows 15% discount onit.what is the c.p. of an article on which he gains rs 88.50?

A dealer marks his goods 35% above the c.p and then allows 15% discount onit.what is the c.p. of an article on which he gains rs 88.50?

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best_answer

Let the initial cost =  $$x$$

After marking up the goods at 35% the price =   $$x + frac35x100 = 1.35x$$

After 15% discount then Sp  = $$ 0.85 of 135x $$ = $$ 0.85 imes 1.35 = Rs. 1.1475x$$ 

 given gain =$$ Rs. 88.50$$

Now According to the question, 

                                              $$ Sp - Cp = 88.50$$

                                $$1.35x - x = 88.50 $$

                                $$ 0.1475x = 88.50 $$

                                $$ x = frac88.500.1475 $$

                               $$ x = Rs. 600 $$

Hence, our Cp = $$ Rs. 600 $$ 

Posted by

Deependra Verma

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