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01 May 2012, 09:51
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Three friends went to snacks corner. Each had a 25 Rs. cold coffee. Total bill was 75 Rs. Manager decided to give Rs. 5 discount. So he returned Rs. 5. They tipped waiter with Rs. 2 and kept Rs. 1 each. So potentially they paid Rs. 24 each plus Rs. 2 Tip.
24+24+24+2= Rs. 74. Solve the mystery of missing 1 rupee.
24+24+24+2= Rs. 74. Solve the mystery of missing 1 rupee.
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01 May 2012, 19:37
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The fallacy lies in believing that the three friends spent Rs 75, whereas they actually spent Rs 72 (if one rupee each was returned to them, then their total spend is 24 x 3 = Rs 72). Of these 72 Rupees, 70 went to the coffee shop manager, and Rs 2 was paid as tip to the waiter.
This problem arises when we add the amounts erroneously: If the three friends paid Rs 25 each, and one rupee each was returned to them, their payment per person is Rs 24. The two rupees paid to the waiter are not over and above this Rs 24, but contained in this payment itself.
If the payment made to the waiter is to be considered as part of the friends' outlay, then assign 25 each to the friends (total 75), of which then 70 went to the coffee shop manager, 2 went to the waiter, and 3 was kept separately for the friends to take back.
This problem arises when we add the amounts erroneously: If the three friends paid Rs 25 each, and one rupee each was returned to them, their payment per person is Rs 24. The two rupees paid to the waiter are not over and above this Rs 24, but contained in this payment itself.
If the payment made to the waiter is to be considered as part of the friends' outlay, then assign 25 each to the friends (total 75), of which then 70 went to the coffee shop manager, 2 went to the waiter, and 3 was kept separately for the friends to take back.
07 May 2012, 22:21
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Nicely explained by gyanone. It is not related with GMAt but is a general one.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
