Question

Tesla makes a profit of Rs 100 on each car it sells, while it makes a loss of Rs 150 each time they send a rocket into space. They have sent 10 rockets into space this year. If Tesla wants to make a net profit of Rs 3000, how many cars they must sell this year? If 10 cars have already been sold, how many more cars need to be sold so as to meet the target. [4 MARKS]

Answer 1

Steps: 2 Marks
Answer: 2 Marks


It is given that
Tesla makes a profit of Rs 100 on each car it sells
While it makes a loss of Rs 150 each time they send a rocket into space.
Tesla wants to make a profit of Rs 3000.
Total number of rockets sent to space this year = 10
Total Loss due to the rockets = 10 $\times$ 1500 = Rs 1500
Let $x$ number of cars be sold, so as to make a profit of Rs 3000.
Net Profit = Profit from selling cars - loss due to sending of rockets
So on substituting the values, we get:
3000 = 100 $\times$ $x$ - 1500
$x$ = (3000 + 1500) $÷$ (100)
$x$ = 4500 $÷$ 100
$x$ = 45

So, the total number of cars that need to be sold to make a profit of Rs 3000 are 45.
It is given that, 10 cars have already been sold.
Number of cars that need to be sold to meet the target = 45 - 10 = 35
So, 35 more cars need to be sold to meet the target.