A man received a cheque. The amount in Rs. has been transposed for paise and vice versa. After spending Rs. 5 and 42 paise, he discovered he now had exactly 6 times the value of the correct cheque amount. What amount he should have received?
Explanation:
Let the man has received a cheque of x rupees and y paise.
∴ The amount on cheque = (100x + y) …(i)
The amount actually received by him = 100y + x
After spending Rs. 5 and 42 paise, the remaining amount = (100y + x – 542) …(ii)
But, (100y + x – 542) = 6 × (100x + y) …(iii)
Substituting the values from the given options, x = 6 and y = 44
Hence, option (b).
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