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A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the...

Mathematics
NECO 2001

A trader sold an article for N4,600.00 thereby making a profit of 15%. Calculate the cost price of the article

  • A. N3450.00
  • B. N3910.00
  • C. N4000.00
  • D. N5290.00
  • E. N6900.00
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Correct Answer: Option C
Explanation

SP = #4600, profit % = 15

% profit = \(\frac{SP - CP}{CP}\) X 100

\(\frac{15}{100} =  \frac{4600 - CP}{CP}\)

15CP = 460000 - 100CP

15CP + 100CP = 460000

CP = \(\frac{460000}{115}\) = #4000

Cost price of article = #4000

 OR

Profit % = 100 + 15 = 115

CP = \(\frac{4600 \times 100}{115}\) = #4000


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