The incomes of A and B are in the ratio 5:7 and their expenditures are in the ratio 3:5. If each saves Rs. 4200, what is the income of A?
Rs. 10500
Let incomes be 5x and 7x, expenditures be 3y and 5y.
Savings equations: \(5x - 3y = 4200\) and \(7x - 5y = 4200\).
Multiply the first by 5 and the second by 3: \(25x - 15y = 21000\), \(21x - 15y = 12600\). Subtract to get \(4x = 8400\), so x = 2100.
Income of A = 5x = 10500.
Hence, A's income is Rs. 10500.
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Important Questions from Ratio and Proportion
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?
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:
The third proportional to 9 and 15 is:
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:
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:
