Ratio proportion Question Answers

Ratio and Proportions - Quant/Math - CAT 2008

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 ::  24/8 : 24/12 : 24/6=> 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.