Lozenges were bought at 7 in $6 \mathrm{p}$ and sold at 6 in 7 p. Find the profit percent.
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Lozenges were bought at 7 in $6 \mathrm{p}$ and sold at 6 in 7 p. Find the profit percent.
in Mathematics

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Best Answer

Solution-

The L.C.M. of 6 and $7=42$
(bought)

$\therefore$ The C.P. of 42 lozenges

$

\begin{aligned}

=& \frac{6}{7} \times 42=36 \mathrm{p} \\

\therefore \quad \text { S.P. of } 42 \text { lozenges } \\

=\quad & \frac{7}{6} \times 42=49 \mathrm{p} \\

\therefore \quad \text { Profit }=49 \mathrm{p}-& 36 \mathrm{p}=13 \mathrm{p} \\

\therefore \quad \text { Profit percent } &=\frac{13}{36} \times 100 \\

&=36 \frac{1}{9} \% ; \text { Ans. }

\end{aligned}

$

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