Question

A dealer sold two T.V. sets for Rs 4,800 each, gaining 20% on one set and losing 20% on the other set. Find his net gain or loss and also express it as a percentage.

• A. Loss $=$ Rs. $300$. loss $\%=4\%$
• B. Loss $=$ Rs. $200$. loss $\%=4\%$
• C. Loss $=$ Rs. $400$. loss $\%=4\%$
• D. Loss $=$ Rs. $100$. loss $\%=4\%$

Answer 1

Answer: (C)

Loss $=$ Rs. $400$. loss $\%=4\%$

Selling price of two T.V. sets $=4800$ Rs. each

Let cost price of a T.V. sets on which he gain $20\%$ be $X$ Rs

and another T.V. sets on which he lost $20\%$ be $Y$ Rs.

Solving for T.V. sets on which he gain

We know that, $Sellingprice=Costprice+profit$

$\Rightarrow 4800=X+20\%ofX$

$\Rightarrow 4800=X+0.2X$

$\Rightarrow 4800=1.2X$

$\Rightarrow X=\frac{4800}{1.2}$

$\therefore X=4000Rs$

Now, Solving for T.V. sets on which he loss

We know that, $Sellingprice=Costprice-loss$

$\Rightarrow 4800=Y-20\%ofY$

$\Rightarrow 4800=Y-0.2Y$

$\Rightarrow 4800=0.8Y$

$\Rightarrow Y=\frac{4800}{0.8}$

$\therefore Y=6000Rs$

Now, $TotalCostprice=X+Y=4000+6000=10000Rs$

and $TotalSellingprice=2\times 4800=9600Rs$

Since $Sellingprice<CostPrice$

So, In whole transaction, there is a $Lossof10000-9600=400Rs$

$\therefore LossPercentage=\frac{loss\times 100}{CostPrice}=\frac{400\times 100}{10000}=4\%$