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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. 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 ?

  2. A bag contains Rs. 420 in the form of 5 rupee, 2 rupee, and 1 rupee coins. The number of coins of 5 rupee, 2 rupee, and 1 rupee is in the ratio of 2 : 3 : 5. What is the total number of coins in the bag?

  3. If P/Q = 8/9 and Q - P = 12, then what is the value of P?

  4. A child gets 1 random coin out of Re 1, Rs 2, and Rs 5 coins daily. He starts on 1st April and at the end of the month, he has coins in the ratio 5 ∶ 4 ∶ 6. Find the value of the coins with him

  5. Find the proportion equivalent to M : N : O : P if M : N = 8 : 15, N : O = 5 : 9 and O : P = 18 : 19 ?

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