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
Answers
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might be 3 not sure
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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 (4) Over Rupees 18 but less than Rupees 19
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