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A
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Difficulty:
65%
(hard)
Question Stats:
52% (02:01) correct
48%
(02:03)
wrong
based on 112
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The members of a local club contributed equally to pay $600 towards a donation. How much did each one pay?
(1) If there had been five fewer members, each one would have paid an additional $10.
(2) There were at least 20 members in the club, and each one paid no more than $30.
(1) If there had been five fewer members, each one would have paid an additional $10.
(2) There were at least 20 members in the club, and each one paid no more than $30.
07 Jul 2023, 04:07
Kudos
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The members of a local club contributed equally to pay Rs.600 towards a donation. How much did each one pay?
(1) If there had been five fewer members, each one would have paid an additional $10.
let n=number of members and x= each member's contribution
nx=600
x=600/n
600/(n-5)= (600/n)+10
The resultant quadratic equation can be solved and value of n and x can be determined.
statement I ALONE IS SUFFICIENT.
(2) There were at least 20 members in the club, and each one paid no more than $30.
n is greater than or equal to 20 and x is less than or equal to 30$ gives us no idea about each member's contribution.
statement II ALONE IS NOT SUFFICIENT.
Option A is the answer IMO
(1) If there had been five fewer members, each one would have paid an additional $10.
let n=number of members and x= each member's contribution
nx=600
x=600/n
600/(n-5)= (600/n)+10
The resultant quadratic equation can be solved and value of n and x can be determined.
statement I ALONE IS SUFFICIENT.
(2) There were at least 20 members in the club, and each one paid no more than $30.
n is greater than or equal to 20 and x is less than or equal to 30$ gives us no idea about each member's contribution.
statement II ALONE IS NOT SUFFICIENT.
Option A is the answer IMO
07 Jul 2023, 07:50
Kudos
Bookmarks
Bunuel
Bunuel : We could keep consistency in currency in question. QUestion has currency in Rs which statements have it in Dollar
Question: Contribution per person = ?
Statement 1: If there had been five fewer members, each one would have paid an additional $10.
Let members = x and the contribution each person = y
i.e. x*y = 600
Also, (x-5)*(y+10) = 600
i.e. xy +10x - 5y - 50 = 600
i.e. 10x - 5y = 50
i.e. 2x - y = 10
and xy = 600
i.e. x = 20, y = 30
SUFFICIENT
Statement 2: There were at least 20 members in the club, and each one paid no more than $30.
This is evident from question already because total contribution = 600
20*30 = 600
NOT SUFFICIENT
Answer: Option A
