JAMB 1984 · UME · Q4

$P$ sold his bicycle to $Q$ at a profit of $10\%$ . $Q$ sold it to $R$ for ₦209 at a loss of $5\%$ . How much did the bicycle cost $P$ ?

Worked solution (try it first)

$Q$ sold at a $5\%$ loss, so ₦209 is $95\%$ of what $Q$ paid: $Q$ paid $209 \div 0.95 =$ ₦220.
$P$ sold to $Q$ at a $10\%$ profit, so ₦220 is $110\%$ of what $P$ paid: $220 \div 1.1 = 200$ .
So the bicycle cost $P$ ₦200, option A.