Multiple choice

In a family the ratio of expenses to the savings is $5 :3$. But his expenses is increased by $60\%$ and income is increased by only $25\%$ thus there is decrease of $Rs. 3500$ in the saving. Find the increased income of the family.

  1. $Rs. 35000$
  2. $Rs. 28000$
  3. $Rs. 25000$
  4. $Rs. 18,500$
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A Correct answer
Explanation

Let expenses be 5x and savings be 3x, so income is 8x. New expenses = 5x * 1.6 = 8x. New income = 8x * 1.25 = 10x. New savings = 10x - 8x = 2x. The decrease in savings is 3x - 2x = x = 3500. The new income is 10x = 10 * 3500 = 35000.

AI explanation

Let the initial income be 8x, with expenses at 5x and savings at 3x. The new income is 1.25 multiplied by 8x, equaling 10x, and the new expenses are 1.60 multiplied by 5x, equaling 8x. This makes the new savings 10x - 8x = 2x, which is a decrease of x from the original savings of 3x. Since the decrease in savings is Rs. 3500, x equals 3500, making the increased income 10x equal to Rs. 35000.

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