A vistara airline has a free luggage allowance up to a certain kg and if there is extra luggage, it charged at constant rate per kg. The total luggage charge paid by M and S is Rs. 1050. If both M and S has carried twice the luggage they actually did then charge would be Rs. 2400 and Rs. 900 respectively. Find the luggage charge paid by M (in Rs.).
A vistara airline has a free luggage allowance up to a certain kg and if there is extra luggage, it charged at constant rate per kg. The total luggage charge paid by M and S is Rs. 1050. If both M and S has carried twice the luggage they actually did then charge would be Rs. 2400 and Rs. 900 respectively. Find the luggage charge paid by M (in Rs.).
Option 1 -
900
Option 2 -
1800
Option 3 -
750
Option 4 -
1500
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1 Answer
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Correct Option - 1
Detailed Solution:Let the airline has a free luggage allowance →’f’ kg
Luggage by M →m kg
Luggage by S →s kg
Rate charger beyond f kg →’e’/kg
Extra luggage of m = (m – f) kg
Extra luggage of s = (s – f) kg
ATQ
e (2m – f) = 2400 ______equation 1
e (2s – f) = 900 ______equation 2
add 1 and 2
e (m + s –f ) = 1650
Also, e (m – f) + e (s – f) = 1050
e (m + s –f ) – ef = 1050
1650 – ef= 1050
ef = 600
Extra luggage from m = e (m – f)
=
= Rs. 900
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