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.

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Solution

Let the price of the watch is $x$

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

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

$0.15 x + 507 - 0.1 x = 669.5$

$0.05 x = 669.5 - 507 = 162.5$

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

$x = 3250$

Thus the price of the watch is Rs $3250$

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

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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.

Let the price of the watch is xThen, The price of the clock is 5070−xSo,(x×15%)+((5070−x)×10%)=669.50.15x+507−0.1x=669.50.05x=669.5−507=162.5x=162.50.05x=3250Thus the price of the watch is Rs3250And the price of the clock is 5070−3250=1820

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.