Question

watch when sold at a profit of 6% yields 870 more than when it is sold at a loss of 6%. Find the cost price of the watch. ​

Answer 1

The cost price of the watch is $7250.

Step-by-step explanation:

To find the cost price of the watch, let's assume the original cost price is x.

When sold at a profit of 6%, the selling price will be x + 0.06x = 1.06x.

When sold at a loss of 6%, the selling price will be x - 0.06x = 0.94x.

According to the given information, the selling price at a profit of 6% is 870 more than the selling price at a loss of 6%.

So we have the equation:

1.06x = 0.94x + 870

Simplifying the equation, we get:

0.12x = 870

Dividing both sides by 0.12, we find:

x = 7250

Therefore, the cost price of the watch is $7250.