A man buys an article for rupees x and sell it for rs 56 at a gain of x% find the value of x
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Given:
Cost price of the article is ₹x.
Profit- x%
Selling price of the article is ₹56.
To find:
The value of the x.
Solution:
1) The gain percentage on the article given is x% and we have the formula of it:
- Profit% =
- And Profit = SP - CP = 56-x
2) If we put the values in the formula then we get
- x% =
- x =
- x²+100x-5600 = 0
- x²+140x-40x-5600 = 0
- x(x+140)-40(x+140) = 0
- (x-40)(x+140) = 0
- x = -140 and x = 40
3) We will consider the value 40 because the price can't be negative.
The cost price of the article is ₹40.
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