Glass

100 glasses are there.A servant has to supply glasses to a person.If he supplies the glasses without any damage he will get 3 paise.Otherwise he will loose 3 paise.At the end of supplying 100 glasses if he gets 270 paise.How many glasses were supplied safely?
ANS: 95
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Questions by chandradeepika   answers by chandradeepika

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Let the number of glasses tat are supplied without any damage be 'x' and the number of glasses supplied with damage be 'y'....He gets 3ps for every glass tat he supplies without any damage, therefore the amount he gets by supplying x glasses is 3x...He loses 3ps for every glass he supplies with damage, therefore the amount he loses is 3y..Total amount he received by supplying 100 glasses is 270ps and the number glasses he supplied is 100
=> 3x-3y=270 and x+y=100...solving these 2 equations, we get x=95 glasses

Totally 270 paise he is having finally.
270/3=90
so minimum 90 glasses of good quality he would have supplied.
Remaining 10 are there.
Only 270 paise he is having.
We need to equalize the remaining 10 glasses into broken and good glasses of 5 each (because the supply of good and broken glass will lead to +30 and -30 paise (equal) respectively).
So totally 95 glasses of good quality.

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