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?	Options:
A) Over Rupees 13 but less than Rupees 14 B) Over Rupees 7 but less than Rupees 8 C) Over Rupees 22 but less than Rupees 23 D) Over Rupees 18 but less than Rupees 9 E) Over Rupees 4 but less than Rupees 5
Explanation :   original :- 100 p + r.   mistaken :- 100r + p.   =&gt; 100p + r -50 = 300r + 3p.   =&gt; 97p = 299r + 50.   =&gt; p = (299r + 50)/97.   Since 97 is prime, the numerator has to be a mult of 97.   now, 299 leaves a remainder of 8 when divided by 97.   now, checking the options:   1. 299 * 13 + 50 / 97 ---&gt; 8*13 + 50/97 --&gt; not divisible.   2. 8*7 + 50 / 97 --&gt; not divisible.   3. 8*22 + 50/97 --&gt; not divisible.   4. 8*18 + 50/97 --&gt; divisible.   Answer : Over Rupees 18 but less than Rupees 9
<result>D</result>
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?