perplexus.info :: Just Math : Party and Glasses

Party and Glasses (Posted on 2003-03-05)

My friend Andrew was throwing a very grand party and wanted to borrow from me 100 wine glasses. I wanted to send them through my neighbour’s servant Harry.

Just to give an incentive to Harry to deliver the glasses intact I offered him 30 paise for every glass delivered safely and threatened to forefeit 90 paise for every glass he broke. On settlement, Harry received 24 Rupees from me.

How many glasses did Harry break ?

( Given: 1 Rupee = 100 Paise )

Submitted by Ravi Raja

Rating: 2.7500 (8 votes)

Solution: (Hide)

Let us assume that 'G' is the number of glasses delivered intact and 'B' be the number of glasses broken. Then, the amount earned = 30G paise and the amount forfeited = 90B.
Then according to the problem, we have:
30G - 90B = 2400 -------- (1)
G + B = 100 -------- (2)
Solving the above two equations, we have:
B = 5 and G = 95.
Therefore Harry broke 5 glasses, which is the required solution.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Glass Thoughts	K Sengupta	2008-03-15 01:19:06
Puzzle Solution: Method IV	K Sengupta	2008-03-15 01:06:25
Puzzle Solution: Method III	K Sengupta	2008-03-14 15:00:43
alternate method	K Sengupta	2008-03-14 13:12:59
Problem Solution	K Sengupta	2007-03-30 10:39:53
don't short andrew	Steve Royer	2004-04-05 02:28:35
Helpful Harry	Lewis	2003-06-22 08:38:56
re(2): It is hard to get good help these days!	Bryan	2003-03-06 08:53:14
re: It is hard to get good help these days!	Ravi Raja	2003-03-06 03:37:40
re: maybe	Ravi Raja	2003-03-06 03:22:48
It is hard to get good help these days!	Bryan	2003-03-05 10:02:35
maybe	tim haggard	2003-03-05 08:56:28
Simpler solution	fwaff	2003-03-05 04:28:58
simple substitution	Nick Murray	2003-03-05 02:09:53
Quick Thoughts	DJ	2003-03-05 01:59:29

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