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A person sold a watch for $450, incurring a loss of 10%. Find the cost price.
Question

A person sold a watch for $450, incurring a loss of 10%. Find the cost price.

A.

$595

B.

$520

C.

$500

D.

$565

Correct option is C

Given:
Selling Price (SP) = $450
Loss Percentage = 10%
Formula Used:
Selling Price=CP(1Loss%100)\text {Selling Price} = \text{CP}(1 - \frac{Loss \%}{100})​​
Solution:
CP=450110100CP=45010.1CP=4500.9CP=500 CP = \frac{450}{1 - \frac{10}{100}} \\ CP = \frac{450}{1 - 0.1} \\ CP = \frac{450}{0.9} \\CP = 500 \\​​
Therefore, the cost price of the watch is $500.

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