TANCET - XAT Math Problem : Ratio Proportion

Question

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

Choice (3). Correct Answer - Rs.144.

Explanatory Answer

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 who gets 3x will get 3 * 48 = Rs.144.

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