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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. If the value of \(\frac{{p - q}}{q} = \frac{4}{3}\)  .find p : q

  2. Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct ?

  3. The two numbers are in the ratio of 9 ∶ 7 and the difference between of these two number is 6000. What is the sum of the two numbers?

  4. A certain number is added to each of a pair of numbers which are in the ratio 4 ∶ 5. The sum of the resulting numbers is 39 and their ratio (taken in the same order as mentioned above) is 6 ∶ 7. What is the number added?

  5. If (p + q) ∶ (q + r) ∶ (r + p) = 5 ∶ 6 ∶ 7 and p + q + r = 18, find the value of p ∶ q ∶ r

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