Question

Fill in the blanks to make the statement true:

A fruit seller purchased 20 kg of apples at $₹50$ per kg. Out of these, $5\%$ of the apples were found to be rotten.

If he sells the remaining apples at $₹60$ per kg, then his _________is _________$\%$.

• A. Profit
• B. $14\%$

Answer 1

Step 1: Compute the total cost price:

Given that

A fruit seller purchased $20kg$ of apples at $₹50perkg$.

So, total cost price is

$20\times 50=₹1000$

Step 2: Compute the total selling price:

Of that $20kg$ of apples,$5\%$ were rotten, so good apples is

$$\begin{gathered} 20-\frac{5}{100}\times 20 \\ =20-1 \\ =19kg \end{gathered}$$

The selling price of one kg of apples is $₹50$.

So, the total selling price is

$19\times 60=1140$

Step 3: Compute the profit:

The profit can be found as

$\begin{array}{rcl}profit& =& sellingprice-\cos tprice\\ & =& 1140-1000\\ & =& 140\end{array}$

Step 4: Compute the profit percentage:

We know that

$\begin{array}{rcl}Profit\%& =& \frac{proift}{\cos tprice}\times 100\end{array}$

That is

$$\begin{gathered} Profit\%\begin{array}{rcl}& =& \end{array}\begin{array}{l}\frac{140}{1000}\end{array}\begin{array}{l}\times \end{array}\begin{array}{rcl}& & 100\end{array} \\ =14\% \end{gathered}$$

Hence, he gained profit of $14\%$.