Q108
Radha marks her goods 25% above the cost price. She sells 35% of goods at the marked price, 40% at 15% discount and the remaining at 20% discount. What is her overall percentage gain?
A.
12.75
B.
10
C.
11.75
D.
11.25
AnswerAnswer: Option D
Solution
Answer: Option D
Solution:
\begin{array}{*{20}{c}}
{{\text{Cost price}}}&{}&{{\text{Marked price}}} \\
{400}&:&{500} \\
{{\text{Number of goods}}}& \to &{35:40:25 = 7:8:5} \\
{}&{}&\begin{gathered}
{\text{Selling price}} \hfill \\
\, \downarrow \hfill \\
\end{gathered} \\
{7 \times 500}& = &{3500} \\
{8 \times 425}& = &{2000} \\
{5 \times 400}& = &{2000} \\
{{\text{Total selling price}}}& = &{{\text{Rs}}{\text{. }}8900} \\
{{\text{Cost price}}}& = &{400\left( {7 + 8 + 5} \right)} \\
{}& = &{{\text{Rs}}{\text{. }}8000} \\
{{\text{Profit}}}& = &{{\text{Selling price}} - {\text{Cost price}}} \\
{}& = &{8900 - 8000 = 900} \\
{{\text{Profit}}\,\% }&{ = \frac{{900}}{{8000}} \times 100}&{ = 11.25\% }
\end{array}