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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?

A.

N200

B.

N196

C.

N180

D.

N205

E.

N150

Correct answer is A

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

i.e. SP = x

When SP = x at 10% profit

CP = 100100 + 10 of x = 100110 of x

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

Q's cost price = Q's selling price

CP = 10095 x 209

= 220.00

x = 220

= 220011

= 200

= N200.00