A person wanted to withdraw X rupees and Y paise from the
bank. But cashier made a mistake and gave him Y rupees and
X paise. Neither the person nor the cashier noticed that.
After spending 20 paise, the person counts the money. And
to his surprise, he has double the amount he wanted to
withdraw. Find X and Y.
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Answer / billy busse
One paise = 1/100 of a rupee.
Given the conditions, we know that:
(X*100 + Y)*2 = Y*100 + X - 20
200X + 2Y = 100Y + X - 20
199X - 98Y = -20
We also know that X and Y must both be integers.
So, put the equation in Y = MX + B form:
199X + 20 = 98Y
(199X + 20)/98 = Y
Now put this in the Y= function of a graphing caluclator,
set the table to start at 1 and go up by increments of 1,
and then scroll down the table until you see an integer
pair.
The integer pair occurs at (26,53)
Therefore, X = 26 and Y = 53
| Is This Answer Correct ? | 81 Yes | 10 No |
Answer / k subramanian
Rs Ps
Original Cheque amount x y
Bank Gave y x
20 Paise spent balance y x-20
Double of Cheque Value 2x 2y
This is same as 2x+1 2y-100 (Here we have used
the fact that 100
paise = 1 Re) We
have removed 100
paise and added 1
Rupee. So the value
remains the same !!
Now we have two equation in x and y such as
2x-y = -1
x-2y = -80
solving these for x and y gives the answer as
x=26 and y=53
Hence the value written in cheque is Rs 26.53
| Is This Answer Correct ? | 21 Yes | 2 No |
Answer / jyotsna
Since a lot of would not have a graphing calcy, here's what
you can do:
after coming upto (199x+20)/98
remainder of 20/98 = 20
remainder 199/98 = 3 --(1)
we need to find 'y' such that Remainder(199y/98 ) = 20, or
20+199y = multiple of 98
(20 +78 = 98)
78/3 = 26 ( ....from 1)
thus x = 26
and y = (20 + 26*199)/98 = 53
| Is This Answer Correct ? | 16 Yes | 2 No |
Answer / abhishek mishra
X=26,Y=53 HE WANTED TO WITHDRAW 26 RUPEES 53 PAISE,BUT
CASHIER GAVE 53 RUPEES 26 PAISE,HE SPENT 20 PAISE.SO
REMANING IS 53 RUPEES 6 PAISE,IT IS DOUBLE THE AMOUNT HE
WANTED TO WITHDRAW 26.53*2=53.06
THANKS
Abhishek mishra
| Is This Answer Correct ? | 6 Yes | 5 No |
Answer / jaya prakash reddy
Answer is 26,53
This type of question can be solve by using any one of the programming languages in a simple way by using two loops for satisfying the equation which we can get from the given question.
Below is the link for the code in Python Language:
https://github.com/JayaPrakash1999/ProgramsByJp/tree/master/Python/ChequePuzzle
| Is This Answer Correct ? | 1 Yes | 2 No |
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