a man buys an article for rs x and sold it for rs 56 at a gain of x%.find the value of x
Cost price = Rs x
Selling price = Rs 56
Profit = 56-x (SP-CP)
Profit % = x %
Now, we know Cost Price = (100/100+P%) (SP)
CP, x = (100/100+x) (56)
=> x = 5600 / 100 + x
=> 100x + x2 = 5600
=> x2 + 100x - 5600 = 0
=> x2 + 140x - 40x - 5600 = 0
=> x(x+140) - 40(x+140) = 0
=> x-40 = 0 ; x+140=0
=> x = 40 ; x = -140
Since the C.P. cannot be negative,
x = 40 Rs.
x% = 40 %
Thumbs up please! :)
Selling price = Rs 56
Profit = 56-x (SP-CP)
Profit % = x %
Now, we know Cost Price = (100/100+P%) (SP)
CP, x = (100/100+x) (56)
=> x = 5600 / 100 + x
=> 100x + x2 = 5600
=> x2 + 100x - 5600 = 0
=> x2 + 140x - 40x - 5600 = 0
=> x(x+140) - 40(x+140) = 0
=> x-40 = 0 ; x+140=0
=> x = 40 ; x = -140
Since the C.P. cannot be negative,
x = 40 Rs.
x% = 40 %
Thumbs up please! :)