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 ₹).
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.
Important Questions from Simple Ratios
The ratio of two numbers is 9 : 5. If 8 is added to the larger number and 4 is subtracted from the smaller number, the greater number becomes twice the smaller number. The larger number is:
Divide 500 into two parts such that the ratio of one to the other are in 5 : 3?
The ratio of the number of men and women in a company is 5 : 4. If the number of men and women increase by 16% and 15%, respectively, then what will be the new ratio of men and women ?
The monthly salaries of an officer and a clerk are in the ratio 11 : 4. If the monthly salary of the officer increases by ₹7,000 and that of the clerk by ₹3,000, then the ratio becomes 19 : 7. What was the initial salary (in ₹) of the officer?
If X : Y = 7 : 5 and Y : Z = 7 : 11, then what is the ratio of X : Y : Z?
