# 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?

Answers (1)

Let the initial cost =  $x$

After marking up the goods at 35% the price =   $x + \frac{35x}{100} = 1.35x$

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

given gain =$Rs. 88.50$

Now According to the question,

$Sp - Cp = 88.50$

$1.35x - x = 88.50$

$0.1475x = 88.50$

$x = \frac{88.50}{0.1475}$

$x = Rs. 600$

Hence, our Cp = $Rs. 600$

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