JAMB - Mathematics (2000 - No. 44)

Audu bought an article for N50,000 and sold it to Femi at a loss of x%. Femi later sold the article to Oche at a profit of 40%. If Femi made a profit of N10,000, find the value of x.
60
50
40
20

Explanation

C.P = N50000

Loss = x%
 = \(\frac{\text{x}}{100}\) x 50000 = 500x

S.P = C.P - Loss =  50,000 - 500x

Profit = 40%
 = \(\frac{40}{100}\) x (50000 - 500x) = 10,000

\(\frac{2}{5}\) x (50000 - 500x) = 10,000

100,000 - 1000x = 50,000

1000x = 50000

x = 50

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