Subject
Quantitative Aptitude
Topic
Miscellaneous
Two types of fuels costing Rs. 21/litre and Rs. 24/litre are mixed such that the average cost of the resultant mixture is Rs. 22.50/litre. What should be the amount of first fuel in the mixture if the second fuel is 30 litres?
Two types of fuels costing Rs. 21/litre and Rs. 24/litre are mixed such that the average cost of the resultant mixture is Rs. 22.50/litre. What should be the amount of first fuel in the mixture if the second fuel is 30 litres?
ক)
49 litresখ)
35 litresগ)
25 litresঘ)
30 litresঙ)
21 litresExplanation
Let the amount of first fuel be x litres Cost of first fuel = Rs. 21/litre ∴ Total cost of first fuel = 21 × x = Rs. 21x Amount of second fuel = 30 litres Cost of second fuel = Rs.24/litre ∴ Total cost of the second fuel = 24× 30 = Rs. 720 Total amount of fuel = (x + 30) litres Cost of resulting mixture = Rs. 22.50/litre ∴ Total cost of resulting mixture = 22.50 × (x + 30) ⇒ 21x + 720 = 22.50 × (x + 30) ⇒ 21x + 720 = 22.50x + 675 ⇒ 1.5x = 45 ⇒ x = 30 litres ∴ Amount of first fuel to be mixed = 30 litresRelated questions
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