Ratio and Proportions - Quant/Math - CAT 2009
Question 4 the day:
June 3, 2002
The question for the day is from Ratio and Proportions.
- Rs.432 is divided amongst three workers A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much did A get?
| (1) | Rs.192 | | (2) | Rs.133 | | (3) | Rs.144 | | (4) | Rs.128 |
Correct Answer - (3)
Solution:
8 times A’s share = 12 times B’s share = 6 times C’s share.
Note that this is not the same as the ratio of their wages being 8 : 12 : 6
In this case, find out the L.C.M of 8, 12 and 6 and divide the L.C.M by each of the above numbers to get the ratio of their respective shares.
The L.C.M of 8, 12 and 6 is 24.
Therefore, the ratio A:B:C ::  => A : B : C :: 3 : 2 : 4
The sum of the total wages = 3x + 2x + 4x = 432 => 9x = 432 or x = 48.
Hence A gets 3 * 48 = Rs. 144.
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