santosh brought an article for rs (x+1500) and marked it up by 20%. if he sold it at a discount of (x-35)% for Rs 1581 then at what price it should be sold to earn profit of 40%?.
Answers
should be sold at Rs 2170 to earn profit of 40%
Step-by-step explanation:
Article Cost Price = Rs x + 1500
Price Marked up be 20%
Marked Price = (1500+x) + (20/100)*(1500+x) = Rs 1.2x + 1800
Sold at Rs 1581
Discount = 1.2x + 1800 - 1581 = 1.2x + 219
Discount % = 100 * (1.2x + 219)/(1.2x + 1800) = x - 35
=> 120x + 21900 = 1.2x² - 42x + 1800x - 63000
=> 1.2x² + 1638x - 84900 = 0
=> x² + 1365x - 70750 = 0
=> x² -50x +1415x - 70750 = 0
=> x(x - 50) + 1415(x + 50) = 0
=> x = 50
Cost Price = 50 + 1500 = Rs 1550
40% Profit = (40/100)* 1550 = 620
Selling Price = 1550 + 620 = Rs 2170
it should be sold at Rs 2170 to earn profit of 40%
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