Question

Varun purchase two TV set for Rs. 30000, he sold one a loss of 15% and other a gain 19%. Find the selling price in both.

Answer 1

Hint: First find profit and loss occurs by using percentage formula then find selling price of both TV sets
By using
  $\begin{align}
  & selling\text{ price = cost price+profit} \\
 & \text{and} \\
 & \text{selling price = cost price - loss} \\
\end{align}$

Complete step-by-step answer:
From the given question cost price of TV sets A and B = Rs.30000
Let on TV set A loss occurs and on TV set B profit occurs
Now we have
$loss\%=\text{ }\dfrac{loss}{\cos t\text{ price}}\times 100$
And we have
 $profit\%=\text{ }\dfrac{profit}{\cos t\text{ price}}\times 100$
So for TV set A we have given
Loss % =15%
Cost price =Rs. 30000 so applying loss\% formula we can write
$\Rightarrow 15=\dfrac{loss}{30000}\times 100$
So we can further write
$\Rightarrow loss\text{ =}\dfrac{30000\times 15}{100}$
Hence on calculation we get
$\Rightarrow loss\text{ = 4500}$
Hence loss occurs on TV set A is Rs.4500
As we know in case of loss
$\begin{align}
  & selling\text{ price = cost price - loss} \\
 & \Rightarrow selling\text{ price = 30000 - 4500} \\
 & \Rightarrow selling\text{ price = 25500} \\
\end{align}$
Hence selling price of TV set A is Rs.25500
So for TV set B we have
Profit % =19%
Cost price =Rs. 30000, so we can write
$\begin{align}
 & \Rightarrow 19=\dfrac{profit}{30000}\times 100 \\
 & \Rightarrow profit\text{ =}\dfrac{30000\times 19}{100} \\
\end{align}$
So after calculation we get the value of profit as
$\Rightarrow profit\text{ = 5700}$
Hence profit occurs on TV set A is Rs.5700
As we know in case of profit
$\begin{align}
  & selling\text{ price = cost price + profit} \\
 & \Rightarrow selling\text{ price = 30000 +5700} \\
\end{align}$
Hence we get the selling price as
$\Rightarrow selling\text{ price = 35700}$
Hence selling price of TV set B is Rs.35700

Note: When we encounter a profit and loss type problem we find the change in value of an article, if it is positive then profit occurs and if it is negative then loss occurs. Change is calculated on cost price and profit% and loss% is also calculated on cost price.