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

+1 vote
283 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

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 answer Nov 8, 2014

Similar Puzzles

Some cards from an ordinary pack of playing cards were laid out on a table with face upwards. I thought of one card there, The KING OF HEARTS. I announced that I would tell Mr. A the value and Mr. B the suit of my chosen card. I whispered to Mr. A that I had chosen a KING and whispered to Mr. B that I had chosen a HEART. Their subsequent discussion went as below:

A: “I do not know the card that was chosen”

B: “I knew you would not”

A: “I still do not know the card, but at least I can now work out its colour”

B: “Now at last I can work out what card it is”

A: “So can I”

What is the least number of cards which could be on the table?

How many of those would be Diamonds? 