Question

A dealer sold two T.V. sets for Rs 2,400 each, gaining 20% on one set and losing 20% on the other set. Find gain or loss percentage.

• A. loss $\%=4.5\%$
• B. loss $\%=2\%$
• C. loss $\%=3\%$
• D. loss $\%=4\%$

Answer 1

Answer: (D)

loss $\%=4\%$

Selling price of two T.V. sets $=2400$ 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, $Sellingprice=Costprice+profit$

$\Rightarrow 2400=X+20\%ofX$

$\Rightarrow 2400=X+0.2X$

$\Rightarrow 2400=1.2X$

$\Rightarrow X=\frac{2400}{1.2}$

$\therefore X=2000Rs$

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

We know that, $Sellingprice=Costprice-loss$

$\Rightarrow 2400=Y-20\%ofY$

$\Rightarrow 2400=Y-0.2Y$

$\Rightarrow 2400=0.8Y$

$\Rightarrow Y=\frac{2400}{0.8}$

$\therefore Y=3000Rs$

Now, $TotalCostprice=X+Y=2000+3000=5000Rs$

and $TotalSellingprice=2\times 2400=4800Rs$

Since $Sellingprice<CostPrice$

So, In whole transaction, there is a $Lossof5000-4800=200Rs$

$\therefore LossPercentage=\frac{loss\times 100}{CostPrice}=\frac{200\times 100}{5000}=4\%$