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

Let the value of cheque
be x Rs
and y ps
and the amount she received is y Rs
and x ps.

After 50 ps
is deducted she has the amount which is 3 times the amount on cheque,

So 100y+x-50 = 3(100x+y) (After
converting the amount in paise)

y= (299x+50)/97 =3x+ (8x+50)/97

Now both x and y are integers, so
from options we put x=18,