Question

The cost price of $12$ candles is equal to the selling price of $15$ candles.

Find the loss percent?

Answer 1

Cost price of $12$ candles = selling price of $15$ candles.

Let C.P of $12$ candles be $x.$

Then C.P of $1$ candle $=\frac{x}{12}$

SP of $15$ candles $=x$

So, S.P of $1$ candle $=\frac{x}{15}$

Loss = C.P – S.P

$$\begin{gathered} =\frac{x}{12}-\frac{x}{15} \\ =\frac{3x}{180} \\ =\frac{x}{60} \end{gathered}$$

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

$$\begin{gathered} =\frac{x/60}{x/12}\times 100 \\ =20\% \end{gathered}$$

Therefore, the loss percent is $20\%$.