What does "a profit of 80 percent on its buy-back price" mean?
A clock store sold a certain clock to a collector for $20$ percent more than the store had originally paid for the clock. When the collector tried to resell the clock to the store, the store bought it back at $50$ percent of what the collector had paid. The shop then sold the clock again at a profit of $80$ percent on its buy-back price. If the difference between the clock's original cost to the shop and the clock's buy-back price was $100$, for how much did the shop sell the clock the second time?
There's the initial obtain, the first sale, the first buy-back, then the last sale.
1. Obtain an item worth $x$
2. Collect $20%$ on the value of $x$
3. Collect $10%$ on the value of $x$ because you gained half of what they paid
4. I have no idea what this means.
Is this right?
The store bought the clock for $\$x$, sold it for $\$\frac{6x}5$ and bought it again for $\$\frac{3x}5$.
$x-\frac{3x}5= \frac{2x}5=100$ means $x=250$.
Buy-back price is $\$150$.
$150\cdot\frac95 = 270$.