Question

Maithli purchased a Walkman from her friend. She then sold it for $RS.90$. Had it been sold for $RS.105$, the gain would have been $\frac{1}{4}$of the former loss. What is the cost of the Walkman?

Answer 1

Compute the required value:

Let the cost value of the Walkman is $x$.

When loss occurred,

Loss$=x-90$

When profit occurred,

Profit$=105-x$

Given: The gain would have been $\frac{1}{4}$of the former loss.

So, $105-x=\frac{1}{4}(x-90)$

$\Rightarrow$$420-4x=x-90$

$\Rightarrow$ $5x=420+90$

$\Rightarrow$ $x=102$

Hence the cost of the Walkman is $\mathit{R}\mathit{s}\mathbf{.}\mathbf{}\mathbf{102}$.