Question

a sum of rs 20706 is distributed amongst a b and c. a gets 10/123 of what b and c got together and c gets 1/10 of what a and b got together c's share is (approx)?

Answer 1

Total amount distributed among a,b and c = Rs 20706

Or a+b+c=20706

Given : a gets $\frac{10}{123}$ of what b and c got together.

Or a=$\frac{10}{123} (b+c)$

Also given c gets $\frac{1}{10}$ of what a and b got together

Or c=$\frac{1}{10} (a+b)$

Since a+b+c=20706

Subtracting c both sides a+b=20706-c

Substituting a+b value in c=$\frac{1}{10} (a+b)$

c=$\frac{1}{10} (20706-c)$

Multiplying both sides by 10

10c=20706-c

Adding c both sides

11c=20706

c=1882.36

C 's share is approximately Rs .1882.