Maths · Test of consistency and solution of simultaneous linear equations in two or three variables using matrices
The ratio of income of two persons is 9: 7 and the ratio of their expenditure is
The ratio of income of two persons is 9: 7 and the ratio of their expenditure is \( 4: 3 . \) If each of them manages to save Rs. 2000 per month, find their monthly income.
- A. \( R s .18,000, \) Rs.14, 000
- B. \( R s .1,000, R s .14,000 \)
- C. \( R s .18,000, \) Rs.1, 000
- D. None of these
Step-by-step solution
Let incomes be 9x and 7x, expenditures be 4y and 3y. Savings: 9x-4y=2000, 7x-3y=2000. Solve to get x=2000, so incomes are 9*2000=18000 and 7*2000=14000.
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