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05 Jul 2017, 00:38
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Three friends contributed some funds for a party. What was the amount contributed by the friend who contributed the highest amount?
(1) The total funds collected were $510.
(2) Had each friend contributed $10 extra, the ratio of their contributions would have been 2 : 3 : 4.
(1) The total funds collected were $510.
(2) Had each friend contributed $10 extra, the ratio of their contributions would have been 2 : 3 : 4.
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05 Jul 2017, 02:38
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Three friends contributed some funds for a party. What was the amount contributed by the friend who contributed the highest amount?
(1) The total funds collected were $510.
(2) Had each friend contributed $10 extra, the ratio of their contributions would have been 2 : 3 : 4.
(1) The total funds collected were $510.
(2) Had each friend contributed $10 extra, the ratio of their contributions would have been 2 : 3 : 4.
(1) not sufficient 510 can be broken in 3 parts in multiple ways
(2) not sufficient we do not have total value to divide
On combining
total value becomes 510 + 3*10 = 540 which is divided in ratio 2:3:4 i.e. 120, 180, 240
Hence highest contribution was 240-10 = 230
C
05 Jul 2017, 02:41
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Let the three friends be A,B and C.
Lets assume the contribution of A - x$,the contribution of B - y$ and the contribution of C - z$
Total = x + y + z
1. The total funds collected were $510.
x +y + z = 510 = Total
But since we do not know what the split in which they contribute,
we cannot clearly who made the the highest contribution,
and what the contribution was.(Insufficient)
2. Had each friend contributed $10 extra, the ratio of their contributions would have been 2 : 3 : 4.
Without knowing the initial total, we cannot clearly tell what the highest contribution was.
If x=10,y=20,z=30, after adding 10$ to each of their contributions, we have the ratio 2:3:4
Similarly, if x=40,y=65,z=90 also we will get the same ratio (Insufficient)
On combining the information, the initial amount must have been 110,170 and 230(totaling 510),
after adding to which we will get 120,180,240(Ratio - 2:3:4) (Sufficient) (Option C)
Lets assume the contribution of A - x$,the contribution of B - y$ and the contribution of C - z$
Total = x + y + z
1. The total funds collected were $510.
x +y + z = 510 = Total
But since we do not know what the split in which they contribute,
we cannot clearly who made the the highest contribution,
and what the contribution was.(Insufficient)
2. Had each friend contributed $10 extra, the ratio of their contributions would have been 2 : 3 : 4.
Without knowing the initial total, we cannot clearly tell what the highest contribution was.
If x=10,y=20,z=30, after adding 10$ to each of their contributions, we have the ratio 2:3:4
Similarly, if x=40,y=65,z=90 also we will get the same ratio (Insufficient)
On combining the information, the initial amount must have been 110,170 and 230(totaling 510),
after adding to which we will get 120,180,240(Ratio - 2:3:4) (Sufficient) (Option C)
