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Bola sold an article for N6 900 00 and made a p... - WAEC Mathematics 2010 Question

Bola sold an article for N6,900.00 and made a profit of 15%. If he sold it for N6,600.00 he would make a
A
profit of 13%
B
loss of 12%
C
loss of 10%
D
loss of 5%
correct option: c

s.p = N6900

%profit = 15%

%profit = (\frac{s.p - c.p}{c.p}) x 100%

15% = (\frac{6900 - c.p}{c.p}) x 100%

(\frac{15}{100})c.p = N6900 - c.p

0.15 c.p = N6900 - c.p

1.15c.p + c.p = N6900

c.p = (\frac{6900}{1.15})

= 6000.00

Now new S.P = N6600

profit = s.p - c.p = 6000 - 6600

= 600

%profit = (\frac{600}{6600}) x 100%

= 10%

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