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Question

The monthly incomes of two friends Nirmal and Rakesh, are in the ratio 5 : 7 respectively and each of them saves ₹93000 every month. If the ratio of their monthly expenditure is 1 : 3, find the monthly income of Nirmal(in ₹).

The correct answer is

₹ 116250

Let the incomes of Nirmal and Rakesh be 5x and 7x respectively. The difference between their incomes is (7x – 5x) = 2x. The difference in the expenditure is 3y – y = 2y. Now, since the savings are the same (₹93000), the expenditure of Nirmal and Rakesh will be in the ratio of their incomes. Hence, the ratio of their monthly income is 116250.

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Important Questions from Ratio and Proportion

  1. In a mixture of 156 litres, the ratio of milk and water is 7 : 6. How much water should be added to make the ratio 14 : 13?

  2. If the ratio of the first to second number is 3 : 4 and that of the second to the third number is 8 : 5, and sum of three numbers is 190 then the third number is:

  3. The third proportional to 9 and 15 is:

  4. The average age of 3 persons is 30 years.If their ages are in the ratio of 3 : 5 : 7 respectively, then the age of the eldest person is:

  5. The income of A and B are in the ratio 5 : 3. The expenses of A, B and C are in the ratio of 8 : 5 : 2. If C spends 2000 and B saves ₹ 700, then A saves:

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