Maths · Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
earns more than They both save together which is one-fourth of s salary plus one
\( A \) earns \( 800 R s . \) more than \( B . \) They both save together \( 3,200 R s . \) which is one-fourth of \( \boldsymbol{A}^{\prime} \) s salary plus one-sixth of \( B^{\prime} \) s salary. Find out their total monthly expenditure.
- A. Rs. 12,000
- B. Rs. 15,000
- C. Rs. 10,000
- D. Rs. 17,000
Step-by-step solution
Let A's salary = a, B's salary = b. Given a = b + 800 and savings = 3200 = a/4 + b/6. Substituting a gives (b+800)/4 + b/6 = 3200. Multiply by 12: 3(b+800) + 2b = 38400 => 3b + 2400 + 2b = 38400 => 5b = 36000 => b = 7200, so a = 8000. Total salary = 15200, expenditure = salary - savings = 15200 - 3200 = 12000.
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