# A dealer sold a watch at a profit of 12%. If he had sold it for Rs.288 more, he would have made a profit of18%. Find the cost price of the watch?

1
by Lovely31

2015-11-08T13:29:05+05:30

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Let the cost price be CP
Sale price SP = CP + profit

Given that  profit = CP * 12/100

if profit becomes  CP * 12/100 +  288  then the  profit percentage is now
[12 CP /100 + 288 ] / CP  * 100  = 18
12 CP/100  + 288 = 18 * CP/100
6 CP/100 = 288
CP = 4, 800 units
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simpler method:

The difference between 12%  and 18% profit is  288..
So  6% profit = 288
CP * 6/100 = 288
CP = 4, 800

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I love this 2nd method more the simpler method more the sum becomes clear thanks so much