Question 65

A person wanted to withdraw X rupees and Y paise from the bank. But cashier made a mistake and gave him Y rupees and X paise. Neither the person nor the cashier noticed that. After spending 20 paise, the person counts the money. To his surprise, he has double the amount he wanted to withdraw.
Find X and Y. (1 Rupee = 100 Paise)

Solution

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Expressing the money he wanted to withdraw in terms of paise: 100x + y

Expressing the amount the cashier gave him: 100y + x

After spending 20paise from the withdrawn money, he finds he still has double the amt, he actually wished to withdraw.

So the eqn is: (100y+x) - 20 = 2(100x+y)

=> 98y - 199x = 20   ...(1)

Only option B satisfies eqn 1 among the given options.

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