a perfume is sold at a gain of 5%. had it been sold for rs 49 more the gain would have been 12%. find the cost price of the perfume
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let,
the cp(cost price) = Rs. x
5℅ of x = x × 5/100 =x × 1/20 = x/20
Again,
12℅ of x = x × 12/100=x × 3/25 = 3x/25
Now,
x/20 + 49 = 3x/25
=>49=3x/25 - x/20
=>49=12x-5x/100
=>49=7x/100
=>4900=7x
=>7x=4900
=>x=4900/7
=>x=700
so the cp of the perfume is = Rs. x = Rs. 700.
hope it's useful ☺☺
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