Question

The cost price of $10$ articles is equal to the selling price of $9$ articles. Find the gain percent.

Answer 1

Let the C.P. of $1$ articles $=Rs.1$.

$\therefore$ The C.P. of $10$ articles $=1\times 10=Rs.10$

$\therefore$ S.P. of $9articles=$ C.P. of $10articles$

$\therefore$ S.P. of $9articles=Rs.10$

Hence, we calculate the cost of $9articles$,

C.P. of $9articles=1\times 9$

$=Rs.9$

$\therefore Profit=S.P.-C.P.$

$Profit=10-9$

$Profit=Rs.1$

$\therefore Profit\%=\frac{Profit}{C.P.}\times 100$

$Profit\%=\frac{1}{9}\times 100$

$Profit\%=11.11\%$.