[administration]

A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount?
(1) Over Rupees 13 but less than Rupees 14
(2) Over Rupees 7 but less than Rupees 8
(3) Over Rupees 22 but less than Rupees 23
(4) Over Rupees 18 but less than Rupees 19
(5) Over Rupees 4 but less than Rupees 5

[administration]

Let the cheque amount be x rupees and y paise.

so total amount of cheque is 100x +y paise.

and transposed amount = 100y + x paisa.

so 100y+x – 50 = 3(100x+y)

97y = 50 + 299x

Also since y is paisa so, 0<y<100

–> 0<=50+299x<=99×97 –> 47<= 299x <=96673

[Author]

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