a merchant bought an article after getting 35% discount on its MRP. merchant marks it Rs699 more than the price he had bought and gives a discount of 15% on it. If amount of profit earn by merchant is Rs432 , then find the initial marked price for merchant.
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Let the initial marked price be equal to x
Cost price of the merchant after 35% discount = x- 35/100 x
= 65/100x
New marked price = 65/100 x + 699
Discount = 15%
Price after discount (selling price )
= 0.5525 x+ 594.15
Profit earned = 432
Profit = selling price - cost price
=> 432 = 0.5525x + 594.15 - 0.65x
=> 0.0975x = 162.15
=> x= 1663
The initial marked price = 1663.07 rupees
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