document.write( "Question 1096373: A , B and C started a business by investing a business in a way that A:B = 1:2 and B:C = 3:4 , what will be the share of A in a company profit of Rs 68000 ? \n" ); document.write( "
Algebra.Com's Answer #710848 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!

Play with the given ratios so that the number for B in both ratios is the same. It's like finding a common denominator when adding or subtracting fractions.

\n" ); document.write( "In the first ratio, the number for B is 2; the second, the number for B is 3. So multiply both numbers in the first ratio by 3 and both numbers in the second ratio by 2; that will make 6 the number for B in both ratios. Then you can combine the two ratios into a single ratio.

\n" ); document.write( "1:2 --> 3:6
\n" ); document.write( "3:4 --> 6:8

\n" ); document.write( "So
\n" ); document.write( "A:B:C = 3:6:8

\n" ); document.write( "Now with all three numbers expressed in a single ratio, we can let the amounts for A, B, and C be represented by 3x, 6x, and 8x. Then, since the total is 68000,
\n" ); document.write( "\"3x%2B6x%2B8x+=+68000\"
\n" ); document.write( "\"17x+=+68000\"
\n" ); document.write( "\"x+=+4000\"

\n" ); document.write( "So the amounts the three business owners should get are
\n" ); document.write( "A: 3x = 12000
\n" ); document.write( "B: 6x = 24000
\n" ); document.write( "C: 8x = 32000

\n" ); document.write( "

\n" ); document.write( "Note: the answers from the first tutor are wrong. While his method was fine, he accidentally wrote 4C=3B, where it should have been 3C=4B...
\n" ); document.write( "
\n" );