abhasjha wrote:An airline has a certain free allowance and charges for excess luggage at a fixed rate per kg.Two passengers Rakesh and pravin have 60 kg of luggage between them and are charged Rs.1200 and Rs.2400 respectively for excess luggage. Had the entire luggage belonged to one of them , the excess luggage charge would have been Rs. 5400
Q1. what is the weight of pravin's luggage ?
(a) 20 kg
(b)25 kg
(c)30 kg
(d)35kg
(e)22 kg
Q2. what is the free luggage allowance?
(a) 10 kg
(b) 15 kg
(c) 20 kg
(d) 25 kg
(e)18 kg
We can plug in the answers to Q2, which represent the free luggage allowance.
The total weight of all the luggage = 60kg.
The answer choices imply the following options for the total weight of the excess luggage:
60-10 = 50.
60-15 = 45.
60-20 = 40.
60-25= 35.
60-18 = 42.
Since the fee for one person traveling = 5400, the correct value for the excess luggage is almost certainly a factor of 5400.
Eliminate D and E, which are not factors of 5400.
Of the remaining answer choices, the middle value is the best place to start.
If answer choice B is incorrect, we'll be able to determine whether the correct answer choice must be smaller or greater.
When the correct answer choice is plugged in, the following constraint must be satisfied:
Rakesh's luggage + Pravin's luggage = 60kg.
Answer choice B: 15
Here, the charge per kg of excess luggage = 5400/45 = 120.
The following baggage weights are implied:
Rakesh:
Excess baggage weight = (total charge)/(fee per kg) = 1200/120 = 10kg.
Total baggage weight = free allowance + excess weight = 15+10 = 25.
Pravin:
Excess baggage weight = (total charge)/(fee per kg) = 2400/120 = 20kg.
Total baggage weight = free allowance + excess weight = 15+20 = 35.
Total weight for Rakesh and Pravin = 25+35 = 60kg.
Success!
Thus:
The correct answer to Q1 is [spoiler]D (35[/spoiler]).
The correct answer to Q1 is [spoiler]B (15)[/spoiler].
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