Question

On selling 1 kg sugar for Rs 16.50 the profit was 10%. What was the cost price per kilogram?

Answer 1

Let the cost price of 1 kg sugar = C.P = Rs x
Selling price of 1 kg sugar = S.P = Rs 16.50
Profit % = 10%
Profit = S.P - C.P
= Rs (16.50 – x)
Profit % = $\frac{\mathrm{Profit}}{\mathrm{C}.\mathrm{P}}\times 100$
$$\begin{gathered} \Rightarrow 10=\left(\frac{16.50-x}{x}\right)\times 100 \\ \Rightarrow 10x=\left(16.50-x\right)\times 100 \\ \Rightarrow 10x=1650-100x \\ \Rightarrow 10x+100x=1650 \\ \Rightarrow 110x=1650 \\ \Rightarrow x=\frac{1650}{110} \\ \Rightarrow x=15 \end{gathered}$$
∴ Cost price of 1 kg sugar is Rs 15.