The price of a necklace, passing through a 3 persons, rises on the whole by 32.5%. If the 1st and the 2nd sellers earned 10% and 12.5% profit respectively. Find the percentage profit earned by the 3rd seller. 

1 Answer

Answer :

Let the original price of the necklace be Rs x and

Let the profit earned by the 3rd seller be P%

Then (100+P)% of 112.5% of 110% of x = 132.5% of x

(100+P/100)*(112.5/100)*(x) = 132.5/100*x

(100+P)*112.5*110 = 132.5 *100 *100*100/100

100+P = 132.5 *100*100/112.5 *110

=1325000/12375

100+P = 107.07

P= 107.07 – 100 = 7.07%

The percentage profit earned by the 3rd seller = 7%

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