WAEC - Mathematics (2010 - No. 25)
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
profit of 13%
loss of 12%
loss of 10%
loss of 5%
Explanation
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%
%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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