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How many total number of possible cases are there and which are those?

+1 vote
199 views

Total cost of 1 kg apple, 1 kg grape and 2 kg banana is 210 Rupees.

If cost of fruits are in the order as given below
Cost of banana (1kg) =< Cost of grape (1kg) =< Cost of apple (1kg)
and all costs are multiple of 10 Rupee and minimum and maximum cost of any fruit per Kg is ranging from 30 Rupees to 90 Rupees.

How many total number of possible cases are there and which are those?

posted Nov 7, 2014 by Varun Kumar

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1 Solution

+2 votes

Making equation let A for Apple, B for Banana and G for Grape,

A + G + 2B = 210

ans condition is B =< G =< A

range is [ 30, 90 ]

So total possible solutions which staisfies the condition and equation both will be 6

(1) A = 90 , B = 30 , G = 60
(2) A = 80 , B = 30 , G = 70
(3) A = 90 , B = 40 , G = 40
(4) A = 80 , B = 40 , G = 50
(5) A = 70 , B = 40 , G = 60
(6) A = 60 , B = 50 , G = 50

solution Nov 8, 2014 by Sourabh Prasad



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