Question

A petrol deal sells on an average \[360\] litres petrol daily. He claims to be selling at cost price. His machine thought is designed in such a way that each time petrol is delivered \[\dfrac{1}{5}th\] is left over in the hose. What is his gain % and total daily gain if 1 litre petrol costs Rs \[63.50\]?

Answer 1

Hint: At first, we will find the amount of the petrol on which he gains his profit. From there we will find the percentage of profit.

Complete step-by-step answer:
It is given that: a petrol deal sells on an average \[360\] litres petrol daily. Again, His machine thought is designed in such a way that each time petrol is delivered \[\dfrac{1}{5}th\] is left over in the hose.
It is also given that the cost of each litre of petrol is Rs \[63.50\].
He sells on an average \[360\] litres petrol daily. Since, each time petrol is delivered \[\dfrac{1}{5}th\] is left over in the hose. So, actually, he can deliver \[\dfrac{4}{5}th\] over in the hose.
So, the amount of petrol that he sells daily is \[360 \times \dfrac{4}{5}\] litres.
Let us simplify the above equation so that, we get,
The amount of petrol that he sells daily is \[288\] litres.
The cost of each litre of petrol is Rs \[63.50\].
So, the cost of \[288\] litres of petrol is Rs \[63.50 \times 288\]
By multiplying the above term we get, the cost of \[288\] litres of petrol is Rs \[18288\].
It is given that he gets profit on \[\dfrac{1}{5}th\] of the petrol.
So, he gets profit on \[360 \times \dfrac{1}{5}\] litre of petrol.
So, he gets profit on \[72\] litres of petrol.
Therefore, the cost of \[72\] litres of petrol is Rs \[63.50 \times 72\].
Calculating we get, the cost of \[72\] litres of petrol is Rs \[4572\].
He totally gains Rs. 4572 when one litre of petrol cost is Rs. 63.50.
To find the percentage of gain the formula used is \[\dfrac{{{\text{cost of profit}}}}{{{\text{total amount of sales}}}} \times 100\]
So, the amount of profit is \[\dfrac{{4572}}{{18288}} \times 100\% = 25\% \]
Hence, He gains \[25\% \] on selling.

Note: Here we find the amount of petrol that lies in the hose since the left over amount of petrol is the actual gain of the dealer.
The percentage of x over a total of y is given by the formula\[\dfrac{x}{y} \times 100\].