A car owner buys petrol at Rs. 7.50 Rs. 8.00 and Rs. 8.50 per litre for the 3 successive years. If he spends Rs. 4000 each year, then the average cost per litre of petrol is
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for first year,
rate of petrol is 7.5 rs
so total petrol purchased = 4000 / 7.5 liters
for second year,
rate of petrol is 8 rs
so total petrol purchased = 4000 / 8 liters
for third year,
rate of petrol is 8.5 rs
so total petrol purchased = 4000 / 8.5 liters
total petrol purchased = 4000 / 7.5 + 4000 / 8 + 4000 / 8.5
= 4000 ( 1/7.5 + 1/8 +1/8.5)
now for three years total cost for purchasing petrol is 12000
so average = 12000 / 4000 ( 1/7.5 + 1/8 +1/8.5)
= 3 / ( 1/7.5 + 1/8 +1/8.5)
= 3/ ( 191.75 /510)
= 3 × 510 / 191.75
= 1530 / 191.75
= 7.9791 rs / liter
rate of petrol is 7.5 rs
so total petrol purchased = 4000 / 7.5 liters
for second year,
rate of petrol is 8 rs
so total petrol purchased = 4000 / 8 liters
for third year,
rate of petrol is 8.5 rs
so total petrol purchased = 4000 / 8.5 liters
total petrol purchased = 4000 / 7.5 + 4000 / 8 + 4000 / 8.5
= 4000 ( 1/7.5 + 1/8 +1/8.5)
now for three years total cost for purchasing petrol is 12000
so average = 12000 / 4000 ( 1/7.5 + 1/8 +1/8.5)
= 3 / ( 1/7.5 + 1/8 +1/8.5)
= 3/ ( 191.75 /510)
= 3 × 510 / 191.75
= 1530 / 191.75
= 7.9791 rs / liter
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