Question

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 22 but less than rupees 23
(2) Over rupees 18 but less than rupees 19
(3) Over rupees 4 but less than rupees 5
(4) Over rupees 13 but less than rupees 14

Answer 1

Answer:

The correct answer is (4) Over Rupees 18 but less than Rupees 19

Step-by-step explanation:

let us consider

ab = Money in rs.

cd = money in paise.

so here we have  

3(ab.cd) = cd.ab - 0.50

3ab + 3cd/100 = cd + ab/100 - 0.50

299ab + 50 = 97cd

cd = (299ab + 50)/97

cd = 3ab + (8ab + 50)/97

to get cd as two digit number we have, ab = 18

which gives cd = 56

So money = Rs 18.56

Check

56.18 - .50 = 3(18.56)

55.68 = 55.68

Hence the correct answer is option (4) Over Rupees 18 but less than Rupees 19