A sells an enlectric press to B at a profit of 5% and B sells at a loss of 5%.If C pays 23.94 for it, what doe's cost A?
Answers
Step-by-step explanation:
\begin{gathered}let \: x = price \: \: pay \: by \: b \\ \\ he \: sell \: on \: loss 5\%\ \: \\ \\ x - x \times 5\% = 23.94 \\ \\ \\ \\ \\ x - 5x \div 100 = 23.94 \\ \\ 100x - 5x \div 100 = 23.94 \\ \\ 95x \div 100 = 23.94 \\ \\ \\ x = 23.94 \times 100 \div 95 \\ \\ \\ x = 25.2 \\ \\ \\ b \: \: sell \: at \: 25.2 \: rupees \\ \\ \\ it \: means \: \: sell \: at \: 25.2 \: rupees \: \\ \\ \\ \: let \: y \: is \: \: real \: price \: of \: eletric \: press \\ \\ a \: sell \: at \: profit \: of \: 5\% \: \: \\ \\ \\ y + y \times 5\% = 25.2 \: \\ \\ \\ 100y + 5y \div 100 = 25.2 \\ \\ 105y \div 100 = 25.2 \\ \\ y = 25.2 \times 100 \div 105 \\ \\ y = 24 \: \: \\ \\ the \: \: real \: price \: of \: eletric \: press \: is \: 24 \: rupees\end{gathered}
letx=pricepaybyb
hesellonloss5%
x−x×5%=23.94
x−5x÷100=23.94
100x−5x÷100=23.94
95x÷100=23.94
x=23.94×100÷95
x=25.2
bsellat25.2rupees
itmeanssellat25.2rupees
letyisrealpriceofeletricpress
asellatprofitof5%
y+y×5%=25.2
100y+5y÷100=25.2
105y÷100=25.2
y=25.2×100÷105
y=24
therealpriceofeletricpressis24rupees
I hope this helps you