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Question

The monthly incomes of two friends Kiran and Mahesh, are in the ratio 5 : 7 respectively and each of them saves ₹78,000 every month. If the ratio of their monthly expenditure is 1 : 3, find the monthly income of Kiran (in ₹).

The correct answer is

97,500

Let the monthly incomes of Kiran and Mahesh be ₹5x and ₹7x respectively. Their savings are ₹78,000 each.

The total income minus expenditure equals savings, so:

Income of Kiran - Expenditure of Kiran = 78,000

5x - Expenditure of Kiran = 78,000

The ratio of their expenditures is 1:3, so Expenditure of Kiran = ₹26,000. Therefore:

5x - 26,000 = 78,000 => 5x = 1,04,000 => x = 20,800

Thus, the monthly income of Kiran is 5x = 5 * 20,800 = ₹1,04,000.

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Important Questions from Simple Ratios

  1. The ratio of two numbers A and B is 5 : 8. If 5 is added to each of A and B, then the ratio of A and B becomes 2 : 3. The sum of A and B is:

  2. The ratio of two numbers A and B is 5: 8. If 5 is added to each of A and B, then the ratio becomes 2 : 3. The difference between A and B is:

  3. A sum of Rs. 6342 is divided amongst A, B, C and D in the ratio 3 : 4 : 8 : 6. What is the difference between the shares of B and D?

  4. The ratio of monthly incomes of A and B is 4 ∶ 5 and that of their monthly expenditures is 3 ∶ 8. If the income of A is equal to the expenditure of B, then what is the ratio of savings of A and B?

  5. The ratio of the monthly incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save Rs. 4,000 per month, then find the difference in their incomes (in Rs.)

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