Latest UPSC Aptitude Question SOLUTION: A certain number of students decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however did not turn up. As a consequence, the remaining ones had to c

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(#M40025100) UPSC question Mental Ability Keep an EYE

A certain number of students decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of students who attended the picnic was:

Asked In UPSC MAN (10 years ago)

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Srinivas Rao  (9 years ago)

TOTAL MONEY = 96
LET NO OF PERSONS BE X
EACH PERSON NEED TO PAY = 96/X ==> LET IT BE K ------(1)
BUT 4 MEMBERS HAVE NO MONEY SO COST PER EACH PERSON INCREASED BY K+4
SO 96/(X-4)=K+4------------- (2)

BY THIS TWO EQUATIONS WE GET KX=96
BY SOLVING WE GET X-K=4
BY SOLVING AGAIN WE GET K=8
SO X WE GET , X=12
SO 12 IS THE ANSWER........

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