Question

divide ₹ 420 among a, b, c in the ratio 1/3:5/6:7:9

Answer 1

Given Ratio=1/3:5/6:7/9
LCM OF 3,6&9= 18
So sum of the ratio is
A=1/3*18=6
B=5/6*18=15
C=7/9*18=14
therefore total Ratio=6+15+14=35
then A=6/35
B=15/35
C=14/35
A=420*6/35=72
B=420*15/35=180
C=420*14/35=168
Total=72+180+168=420

Answer 2

give ratio= 1/3 : 5/6: 7/9
LCM of 3, 6 and 9= 18
1/3×18= 6
5/6×18=15
7/9×18=14
therefore 6:15:14
sum of terms of ratio= 6+15+14=35
a's share = 6/35 × 420 = 72
b's share = 15/35 × 420 = 180
c's share = 14/35 × 420 = 168

72+180+168= 420