Multiple choice

Weekly incomes of two persons are in the ratio of 7 : 3 and their weekly expenses are in the ratio of 5 : 2. If each of them saves Rs. 300 per week, then the weekly income of the first person is -

  1. Rs. 4660

  2. Rs. 4880

  3. Rs. 5600

  4. Rs. 6300
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Set incomes as 7x and 3x, expenses as 5y and 2y. Each person saves Rs. 300, so 7x - 5y = 300 and 3x - 2y = 300. Solving this system gives x = 900, so first person's income = 7 × 900 = Rs. 6300. The system of linear equations comes from income minus expense equals savings.

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