Answer to Question #112318 in Algebra for Kashif Ali Bhutto

Question

A sum of money is to be distributed amongst A, B, C, and D in the proportion of 5: 2: 1: 4. If D gets Rs. 2000 more than B, then what is the A's share plus C’s share?

Answer 1

Let the total money be x

then A's share = $\frac5{12}x$

B's share =$\frac2{12}x$

C's share =$\frac1{12}x$

D's share =$\frac4{12}x$

If D gets Rs. 2000 more than B which means

$\frac4{12}x-\frac2{12}x=2000$

$x=12000$

A's share = $12000\times\frac{5}{12}=5000$

C's share =$12000\times\frac{1}{12}=1000$

(A+C)'s share = 5000+1000=6000