Question

6. A,B,C,D have Rs. 2900 between them. A has twice as much C and B has three times as much as D. C and D together have Rs.500 less than A. What wil be the difference of A’s share and D’s share?

Answer 1

A = 2C

B= 3D

C+D=A-500

therefore, 2C = C+D +500

Implying D = C+500

Writing everything in terms of C,

A = 2C

B= 3x(C+500) = 3C+1500

C

D= C+500

A+B+C+D = 2C+3C+1500+C+C+500 = 2900

7C = 900

C= 900/7 = 128.57

A= 2C = 257.14

D= C+500= 628.57

B=3D = 1885.71

Answer 2

A = 2C

B= 3D

C+D=A-500

therefore, 2C = C+D +500

Implying D = C+500

Writing everything in terms of C,

A = 2C

B= 3x(C+500) = 3C+1500

C

D= C+500

A+B+C+D = 2C+3C+1500+C+C+500 = 2900

7C = 900

C= 900/7 = 128.57

A= 2C = 257.14

D= C+500= 628.57

B=3D = 1885.71