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An article passing through two hands is solid at a profit of 38% at the original cost price. If the dealer makes a profit of 20%, then the profit per cent made by the second is ?​ Don't spam !​

Answer»

ong>ANSWER:

\huge\underline\bold {Answer:}

Let the initial COST PRICE of the article be 100 rupees.

Profit = 20%

S.P. of the 1st dealer

=  \frac{100 \times 120 }{100}  = 120 \: rupees

Let the second profit % = x. Then,

S.P. of the 2nd dealer

=  \frac{120 \times (100 + x)}{100}

Final S.P. of the article after passing through two hands at a profit = 38%

=  \frac{100 \times (100 + 38}{100}  = 138

Given,

\frac{120 \times (100 + 38)}{100}  = 138

=  > 12000 + 120x = 13800

=  > 120x = 1800 \\  =  > x = <klux>15</klux>\%

So, if the dealer makes a profit of 20%, then the profit per cent made by the second is 15%.



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