Bank Cashier Mistake Puzzle
Bank Cashier Mistake
By mistake the bank cashier gives you-
- Dollar amount in cent, and
- Cent amount in dollars.
How much was have you written on cheque ?
Method : Lets assume Cent = z and $ = 100z , no. of dollars =x and no.of cents = y
So,Initially he had 100zx + zy
Now after cashier’s mistake it becomes 100zy + zx
After spending 5 cents it becomes double
So now equation is 100zy + zx -5z = 200zx + 2zy
or 199x = 98y -5
Now,value of y cannot be greater than 100 (otherwise it becomes $)
so plotting values of y for 1 to 100,we get only 1 integer value for x i.e. 31 for y = 63
Hence the answer 31$ and 63 cents