question_answer 19)

Juhi sells a washing machine for ` 13,500 she loses 20% in the bargain. What was the price at which she brought it?

Answer:

                \[\text{S}\text{.P = C}\text{.P - Loss}\]                 \[\Rightarrow \]               \[\text{13,500 = C}\text{.P - 20 }\!\!%\!\!\text{ }\]of C.P.                 \[\Rightarrow \]               \[\text{13,500 = C}\text{.P - }\frac{\text{20}}{\text{100}}\text{  }\!\!\times\!\!\text{  C}\text{.P}\]                 \[\Rightarrow \]               \[13,500=\text{C}\text{.P -}\frac{1}{5}\times \text{C}\text{.P}\text{.}\] \[\Rightarrow \]               \[13,500=\left( 1-\frac{1}{5} \right)\text{C}\text{.P}\text{.}\] \[\Rightarrow \]               \[13,500=\frac{4}{5}\text{C}\text{.P}\text{.}\] \[\Rightarrow \]               \[\text{C}\text{.P}\text{.}=\frac{13,500\times 5}{4}\] \[\Rightarrow \]               16,875 Hence, she bought it at price ` 16,875.