The marked price of an article is ₹1500. If two successive discounts, each of x% . on the marked price is equal to a single discount of ₹587.40, then what will be the selling price ofthe articleif a single discount of x% is given on the marked price?
Answers
Given : The marked price of an article is ₹1500. If two successive discounts, each of x% . on the marked price is equal to a single discount of ₹587.40,
To find : what will be the selling price of the article , if a single discount of x% is given on the marked price
Solution:
Marked Price = 1500 Rs
1st Discount x % = (x/100)1500 = 15x Rs
Price after 1st Discount = 1500 - 15x = 15(100 - x) Rs
2nd Discount x% = (x/100)15(100 - x)
15x + 15x(100 - x)/100 = 587.40
=> 1500x + 1500x - 15x² = 58740
=> 200x - x² = 3916
=> x² - 200x + 3916 = 0
=> x² - 22x - 178x + 3916 = 0
=> x(x - 22) - 178(x - 22) = 0
=> (x - 22)(x - 178 ) = 0
=> x = 22 x = 178 ( 178 not possible as dscount can not be more than 100 %)
x = 22
Discount = 15x = 15 * 22 = 330 Rs
Selling price = 1500 - 330 = 1170 Rs
selling price of the article = Rs 1170 if a single discount of x% is given on the marked price
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