a sum of money which was supposed to be devided between A and B in the ratio 3:5 was devided among A,B,C in the ratio of 6:5:4. Due to this, A got rs.3000 more than expected. B got how much less than expected?
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let A and B shares are 3x and 5x but share of A B and C are 6y 5y and 4y
.
6y -3x =3000
2y-x=1000
3x +5x= 6y+5y+4y
8x=15y
x=15y/8
2y-15y/8=1000
y= 8000
B share in second situation= 5y= 5×8000=40000
B share in first situation=5x=5×15y/8= 5×15/8×8000=75000
difference= 75000-40000=35000
.
6y -3x =3000
2y-x=1000
3x +5x= 6y+5y+4y
8x=15y
x=15y/8
2y-15y/8=1000
y= 8000
B share in second situation= 5y= 5×8000=40000
B share in first situation=5x=5×15y/8= 5×15/8×8000=75000
difference= 75000-40000=35000
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