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 ?

Question

Varun ~ Delhi · Accepted Answer

Let check amount be 100x+y

Cash given out = 100y+x

So, according to the given condition,

100y+x-50=3*(100x+y)

97y = 50+299x

Now, as x and y have to be integers

So, 50+299x has to be divisible by 97

So, 50+291x+8x has to be divisible by 97

So, 50+8x has to be divisible by 97

This happens when x = 18

Hence, option 4

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Answer is "Over rupees 18 but less than rupees 19"

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