A car owner buys diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for t...
Given data:
- The car owner buys diesel at Rs. 7.50, Rs. 8, and Rs. 8.50 per liter for three successive years.
- He spends Rs. 4000 each year.
To find: The approximate average cost per liter of diesel.
Solution:
Let's calculate the total amount of diesel purchased by the car owner in three years.
In the first year, he spends Rs. 4000 on diesel at Rs. 7.50 per liter. Hence, the total amount of diesel purchased in the first year = 4000 / 7.50 = 533.33 liters.
Similarly, in the second year, he spends Rs. 4000 on diesel at Rs. 8 per liter. Hence, the total amount of diesel purchased in the second year = 4000 / 8 = 500 liters.
In the third year, he spends Rs. 4000 on diesel at Rs. 8.50 per liter. Hence, the total amount of diesel purchased in the third year = 4000 / 8.50 = 470.59 liters.
Therefore, the total amount of diesel purchased in three years = 533.33 + 500 + 470.59 = 1504.92 liters.
Now, let's calculate the total amount spent by the car owner on diesel in three years.
In the first year, he spends Rs. 4000 on diesel.
In the second year, he spends Rs. 4000 on diesel.
In the third year, he spends Rs. 4000 on diesel.
Therefore, the total amount spent by the car owner on diesel in three years = 3 x 4000 = Rs. 12000.
Hence, the approximate average cost per liter of diesel = total amount spent on diesel / total amount of diesel purchased = 12000 / 1504.92 = Rs. 7.98 (approx.)
Therefore, the correct option is (B) Rs. 7.98.
(Note: The answer is approximate because we have rounded off the values of liters of diesel purchased in each year.)
A car owner buys diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for t...
7.5*3+8*2+8.5*1 = 47/6 6 is 3 +2+1 year of 7.5 ,8 and so