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
Soln :
Suppose the cheque for Shailaja is of Rs. X and Y paise
As per the question: 3 × (100X + Y) = (100Y + X) – 50
⇒ 299X = 97Y – 50
⇒ Y = 299X + 50 /97
Now the value of Y should be a integer. Checking by options only for X = 18, Y is a integer and
the value of Y = 56
From Puneet Singh (www.bsaitmfbd.com) Eduventures
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
Soln :
Suppose the cheque for Shailaja is of Rs. X and Y paise
As per the question: 3 × (100X + Y) = (100Y + X) – 50
⇒ 299X = 97Y – 50
⇒ Y = 299X + 50 /97
Now the value of Y should be a integer. Checking by options only for X = 18, Y is a integer and
the value of Y = 56
From Puneet Singh (www.bsaitmfbd.com) Eduventures
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