Question

Seeta sells a dining set to Neeta for ₹$6000$ and gains $20\%$. For how much should she sells it to increase her profit by another$5\%$?

Answer 1

Profilt on dinning set:

Assume that$‘a’$ is the original price.

Then,$a+20\%ofa=6000$

On simplification, we get

$$\begin{gathered} a+\frac{a\times 20}{100}=6000 \\ \Rightarrow a+\frac{a}{5}=6000 \end{gathered}$$

$\Rightarrow$ $\frac{6a}{5}=6000$

$\Rightarrow$ $a=5000.$

Therefore, the original price, $a=5000.$

The required selling price$=5000+(25\%of5000)=5000+1250=6250.$

Hence, Seeta has to sell the dining set for ₹$6250$ to gain a profit of an extra $5\%$