Question

an amount is distributed among A,B,C in the ratio 4:7:9. The difference between the shares of A and C is Rs.3800. what is the share of B?

Answer 1

$9 - 4 = 3800 \\ 5 = 3800 \\ 1 = 3800 \div 5 = 760 \\ b \: shares = 7 \times 760 = 5320$

Answer 2

Sol. Let the total amount be x.
so, share of A,B and C will be 4x/20, 7x/20 and 9x/20.
Now,
Difference between share of A and C= ₹3,800
9x/20 - 4x/20 = 3800
5x/20 =3800
X=15,200
so, total amount is ₹15,200 .
Then ,
Share of B = 7/20 ×15,200
= ₹ 5,320
Hence, B get ₹5,320.