Question

A fruit vendor bought $600$ apples for $4800$. He spent $400$on transportation. How much does he sell each to get a profit of 1000?

Answer 1

Hint: First find the total cost that is needed to buy the apple and its transportation and then find the selling price of the apple assuming the profit as $1000$. After that find the selling price of one apple by dividing the selling price of all apples by the number of apples.

Complete step by step answer:
It is given that the fruit vendor bought 600 apples for 4800.
He also spent 400 on transportation.
Therefore the total cost price of fruit is equal to the sum of the cost of apples and cost transportation. That is,
Total cost price$ = {\text{Cost price + transportation}}$
Substitute $4800$ as cost price and $400$as transportation in the above formula:
The cost price of the apple$ = 4800 + 400 = 5200$
Therefore, the total cost price is $5200$.
The question is asking for a profit of 1000, then let us assume profit as $1000$ . That is,
Profit$ = 1000$
We know the formula of the selling price is given as:
${\text{Selling price = Cost price + profit}}$
Substitute $5200$ as the value of cost price and $1000$as the value of profit in the above formula:
${\text{Selling price = 5200 + 1000}}$
${\text{Selling price = 6200}}$
Therefore, the selling price of all the apples is 6200 and there are 600 apples bought by the vendor. Then the selling price of one apple is given as:
The selling price of one apple$ = \dfrac{{6200}}{{600}}$
The selling price of each apple$ = 10.33$

Therefore he has to sell each apple at the price of10.33 to gain a profit of 1000.

Note: Note that the total cost is taken as all the money that is needed to buy the apple and other expenses, like transportation.