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P sold his bicycle to Q at a profit of 10%. Q sold it to...

Mathematics
JAMB 1984

P sold his bicycle to Q at a profit of 10%. Q sold it to R for N209 at a loss of 5%. How much did the bicycle cost P?

  • A. N200
  • B. N196
  • C. N180
  • D. N205
  • E. N150
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Correct Answer: Option A
Explanation

Let the selling price(SP from P to Q be represented by x

i.e. SP = x

When SP = x at 10% profit

CP = \(\frac{100}{100}\) + 10 of x = \(\frac{100}{110}\) of x

when Q sells to R, SP = N209 at loss of 5%

Q's cost price = Q's selling price

CP = \(\frac{100}{95}\) x 209

= 220.00

x = 220

= \(\frac{2200}{11}\)

= 200

= N200.00


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JAMB CBT Software 2025 - Free Download
JAMB CBT 2025 - Candidates, Schools, Centres, Resellers - Get Ready!
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