Question

Mark (✓) against the correct answer
If the cost price of 12 pencils is equal to the selling price of 15 pencils, then the loss% is

(a) 20%
(b) 25%
(c) 3%
(d) $16\frac{2}{3}\%$

Answer 1

(a) 20%

Let the cost price of each pencil be Rs.1
Cost of 15 pencils = Rs 15
SP of 15 pencil = CP of 12 pencil = Rs 12
∴ CP = Rs 15
SP = Rs 12

Loss = CP - SP = $\mathrm{Rs}(15-12)=\mathrm{Rs}3$

$$\begin{gathered} \mathrm{Los}\mathrm{s}\%=\left(\frac{\mathrm{Loss}}{\mathrm{CP}}\times 100\right)\% \\ =\left(\frac{3}{15}\times 100\right)\% \\ =\frac{300}{15}\% \\ =20\% \end{gathered}$$