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r-ruslan [8.4K]
1 year ago
13

A radio which a dealer bought for $60,000 and marked to give a profit of 30% was reduced in sale by 10%. Find the final selling

price and the percentage profit.
Mathematics
1 answer:
nikklg [1K]1 year ago
4 0

Let:

Op = Original price

Pp = Price to get a profit of 30%

Fp = Final price

So:

\begin{gathered} Pp=Op+0.3\cdot Op \\ Pp=60000+0.3\cdot60000 \\ Pp=60000+18000 \\ Pp=78000 \end{gathered}\begin{gathered} Fp=Pp-0.1\cdot Pp \\ Fp=78000-0.1\cdot78000 \\ Fp=78000-7800 \\ Fp=70200 \end{gathered}

The final price is $70200 and the percentage profit is:

\begin{gathered} 70200=60000+r\cdot60000 \\ 60000r=70200-60000 \\ 60000r=10200 \\ r=\frac{10200}{60000} \\ r=0.17 \end{gathered}

The percentage profit of the final price is 17%

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