Question

A man sold two pipes at Rs. $12$ each. On one he gained $20$%and on the other he lost $20$%. What is his gain or loss in the whole transaction?

• A. Loss of Rs.$1$.
• B. Gain of Rs. $1$.
• C. Gain of Rs.$3$.
• D. Loss of Rs.$3$.

Answer 1

Answer: (A)

Selling price rate of pipes $=12$ Rs. each

Let cost price of a pipe on which he gain $20\%$ be $X$ Rs

and another pipe on which he lost $20\%$ be $Y$ Rs.

Solving for pipe on which man gains 20%

We know that, $Sellingprice=Costprice+profit$

$\Rightarrow 12=X+20\%ofX$

$\Rightarrow 12=X+0.2X$

$\Rightarrow 12=1.2X$

$\Rightarrow X=\frac{12}{1.2}$

$\therefore X=10Rs$

Now, Solving for pipe on which man loses 20%

We know that, $Sellingprice=Costprice-loss$

$\Rightarrow 12=Y-20\%ofY$

$\Rightarrow 12=Y-0.2Y$

$\Rightarrow 12=0.8Y$

$\Rightarrow Y=\frac{12}{0.8}$

$\therefore Y=15Rs$

Now, $TotalCostprice=X+Y=10+15=25Rs$

and $TotalSellingprice=2\times 12=24Rs$

Since $Sellingprice<CostPrice$

So, in whole transaction, there is a $Lossof25-24=1Rs$