Is there something wrong with mathematics ?

Question

A boy sells 30 oranges. 2 for 1 rupee earns 15 rupees. again he sells 30 oranges 3 for 1 rupee and earns 10 rupees. total income is 25 rupees.
next day he sells 60 oranges (mixed from both kinds) and sells combined 5 for 2 rupees but earns 24 rupees. why loss of one rupee.

30 2 - 1 15 rupees
30 3 - 1 10 rupees

60 5 - 2 24 rupees
why is loss of Re. 1 in case of combined selling ?

Answer 1

On days 1 & 2, he sold 30 of each kind of oranges. In the combined sale, the assumption is that each group of 5 consists of 2 day1 oranges and 3 day2 oranges. Since there are 12 sets of 5 oranges in the 60, that means that there are 2 x 12 or 24 day1 oranges and 3 x 12 or 36 day2 oranges. So the ratio of day1 to day2 oranges is different in the combined sale from the ratio in the individual sales. Nothing is wrong with the math.

Answer 2

There's nothing wrong. The "trick" is that the boy sells combined 5 for 2 rupees the last time, this gives 2 / 5 rupee. Multiply by the total units sold 2/5×60 = 24, whereas the first two times, the price was different: 1/2 rupees × 30 = 15, and 1/3 rupees × 30 = 10, so you see that [(1/2) + (1/3)]×30 =/ (2/5)×60, and therefore there is different income.

1st day: income = 1/2×30 + 1/3×30 = 5/6×30 = 25
2nd day: income = 2/5×60 = 4/5×30 = 24
the boy sells the oranges at different price (first day at 5 for 6 rupee, second day at 2 for 5 rupee)

Answer 3

Because he has mixed both the types of oranges which is the reason of loss.
Earlier he was selling seperately so gaining more.
Solve it like this,
30 O earned him 15 Rs, so per piece he gets 50 paise. So he has 30 O of price 50 Paise each.
30 O earned him 10 Rs. so per piece he gets, 33 paise. So he has 30 O of price 33 paise each.
The average price works out to be 42 paise each.
When he mixes them, the total are 60 O sold for 24 Rs,
so the average prize is 40 paise.
That will happen anytime when you mix, the average will change and the dominating factors will govern the final avearge.
So there is nothing wrong with Mathematics

Answer 4

Well, first he sell 30 oranges of each kind.
But the next day, he sell 24 oranges of the first kind and 36 of the other.
This reduces his profit as he sells more of less profitable ones.

Answer 5

because (30/2)+(30/3)are not equal to 60/2 so you think that it loss one rupee.
in this case you missed the way

Answer 6

Math Make Me Mad!!!