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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?

A
Rs. 192
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B
Rs. 138
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C
Rs. 144
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D
Rs. 196
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Solution

The correct option is D Rs. 144
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 8,12and6 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 8,12and6 and 6 is 24.
Therefore, the ratio A:B:C::248:2412:246
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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