Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 9)
9.
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Rs. 7.98
Rs. 8
Rs. 8.50
Rs. 9
Answer: Option
Explanation:

Total quantity of petrol
consumed in 3 years
= 4000 + 4000 + 4000  litres
7.50 8 8.50
= 4000 2 + 1 + 2  litres
15 8 17
= 76700  litres
51

Total amount spent = Rs. (3 x 4000) = Rs. 12000.

Average cost = Rs. 12000 x 51 = Rs. 6120   = Rs. 7.98
76700 767

Discussion:
93 comments Page 6 of 10.

Varma said:   1 decade ago
Why take 7.50 + 8 + 8.50 / 3 = 8?

Ashwini madne said:   1 decade ago
@Santhosh Sandy.

= 4000/7.50 + 4000/8 + 4000/8.50.
= 4000(1/7.50 + 1/8 + 1/8.50) ...... 1/7.50.

It can be written as 100/750 which is equal to 2/15 same as 1/8.50 can be written as 100/850 which is equal to 2/17.

= 4000(2/15 + 1/8 + 2/17).
= 4000[{(2 * 8) + (15 * 1)/15 * 8} + 2/17].
= 4000[{31/120 + 2/17}].
= 4000[767/2040].
= 76700/51.
(1)

Santhosh Sandy said:   1 decade ago
In the solution how they got 4000(2/15+1/8+2/17) = (76700/51) ?

I'm bit confused :-(.

Henry said:   1 decade ago
When you say approximately. Is it wise to say the answer is 7.98 instead of 8.0 which is B?

Mounika said:   1 decade ago
Answer: 1503.92.

Subhasmita said:   1 decade ago
Please solve this equation 4000(2/15+1/8+2/17) = ?

Jeevan j said:   1 decade ago
At most one minute is the time available for this question. So further simplifications is required.

Gameruler said:   1 decade ago
How can we calculate this without using the calculator?

Abhishek said:   1 decade ago
Where 51 came from?

Gunwanti said:   1 decade ago
Can any one explain 76700/51?


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