Question: A man received a cheque. The rupees has been transposed for paise and vice versa. After spending 5 rupees 42 paise, he discovered that he now had exactly six times the value of the correct cheque amount. What amount should he have received?
Answer:
He received 6 rupees and 44 paise.
Let's assume that he received a cheque of X rupees and Y paise i.e. (100X + Y)
The amount received by him = 100Y + X
After spending 5 rupees 42 paise, the remaining amount is (100Y + X - 542) which is 6 times the original amount. Thus,
(100Y + X - 542) = 6*(100X + Y)
100Y + X - 542 = 600X + 6Y
94Y = 599X + 542
Using trial-n-error, we get X=6 and Y=44
Hence, he should have received 6 rupees and 44 paise.