A and B are two friends, together they go out for shopping. A buys a hat and a suit,all together A spends 15 rupees. B buys a hat which costs same as the suit bought byA. B even buys a dress which cost her one rupee less than the cost of hat bought by A.B says to A that "If at all I had bought my hat by spending one and half times the money u spent on buying your hat, we both would have spent the same amount on buying our items(together, i.e., 15 rupees).(a) what is the cost of hat bought by A.(b) The money A and B apent together.

Lets say A spent x and y rupees on hat and suit respectively.
from the conditions we can say B spent y and x-1 rupees on hat and dress respectively.
From what B told to A we can write that.....
=> x + y = 15 = (3/2)x + (x-1)
=> (3/2)x + (x-1) = 15
=> (5/2)x - 1 = 15
=> (5/2)x = 16
=> x = 16 * (2/5)
=> x = 32/5 = Rupees 6.40 paise
(a) answer is 6.40 Rupees.
(b) Total A alone spent = x+y =15.
B spent = y + (x-1) = (x+y)-1 = 15-1 = 14 Rupees.

So, together they spent = 15 + 14 = 29 Rupees.
answer is 29 Rupees.