Question

a man sells a watch for 3450 and makes a profit of 15 percent.he sells second watch at a loss of 10 percent.if on the whole transaction he neither gain nor lose,find the c.p of second watch

Answer 1

let price of second of watch be
$x$
loss on this watch =
$\frac{10}{100} \times x = \frac{x}{10}$
profit on first watch =
$3450 \times \frac{15}{100 } = \frac{5175}{10}$
now according to question gain and loss is zero
$\frac{5175}{10} - \frac{x}{10} = 0 \\ 5175 - x = 0 \\ x = 5175$
so price of second watch is 5175