Multiple choice

The ratio of income of Aman to income of Raman is 4 : 3. Their expenditures are in the ratio 3 : 1. If their respective savings are Rs. 16,000 and Rs. 25,000, what is the income of Aman?

  1. Rs. 35,400

  2. Rs. 47,200

  3. Rs. 11,800

  4. Rs. 45,200
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let incomes be 4k and 3k. Savings = Income - Expenditure. Expenditure = Income - Savings. Ratio of expenditures: (4k - 16000) / (3k - 25000) = 3/1. 4k - 16000 = 9k - 75000. 5k = 59000. k = 11800. Aman's income = 4k = 47200.

AI explanation

Let Aman's and Raman's incomes be 4x and 3x, and their expenditures be 3y and y. Using the income minus expenditure equals savings formula, we get 4x - 3y = 16,000 and 3x - y = 25,000. Multiplying the second equation by 3 gives 9x - 3y = 75,000, and subtracting the first equation yields 5x = 59,000, so x = 11,800. Aman's income is 4x, which calculates to Rs. 47,200.

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