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pavanpuneet
It might be a basic question, but do we equalize the cost before calculating the average? What is conceptually wrong when I do 4/15?

It is given that he spent equal amount of money on both types. When you say 4/15, you are assuming that he bought 5 oranges for Re1 and 10 oranges for Rs 3 i.e. a total of 15 oranges for Rs 4 but that is not the case. The average cost will depend on how many oranges he bought of each type. It is not given how many oranges he bought of each type but it is given that he spent equal amount of money on both types so we can assume that he spent say, Rs3 for each type.
He will get 15 oranges of first type in Rs 3 and 10 oranges of the second type in Rs 3. Hence, average cost of the oranges = 6/25
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Let X and Y be the amount ( in the sense of the number of ..) bought in type 1 and type 2
the price of X = 1/5 and that of Y = 3/10 ( in ruppee of course)
X*1/5 = Y*3/10 ==> X = 3/2*Y
Av: (X/5 + 3Y/10)/(X+Y) = 6/25 (substitute X for Y)
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If 5a = 1 rup
Then 5b = 3/2 rup = 1.5 rup
(1+1.5)/(5+5) = 0.25 rup = 1/4 rup.
But it is not correct..
I'm lost :D
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