Question

A trader purchased a wall clock and a watch for a sum of Rs. $5070$. He sold them making a profit of $10\%$ on the wall clock and $15\%$ on the watch. He earns a profit of Rs. $669.50$. Find the cost price of the wall clock and that of the watch.

Answer 1

Let the price of the watch is $x$

Then, The price of the clock is $5070-x$

So,

$(x\times 15\%)+\left(\right(5070-x)\times 10\%)=669.5$

$0.15x+507-0.1x=669.5$

$0.05x=669.5-507=162.5$

$x=\frac{162.5}{0.05}$

$x=3250$

Thus the price of the watch is Rs$3250$

And the price of the clock is $5070-3250=1820$