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

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?

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