Question : The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs. 50 per month, then their monthly incomes are:
Option 1: Rs. 900; Rs. 500
Option 2: Rs. 400; Rs. 500
Option 3: Rs. 700; Rs. 900
Option 4: Rs. 400; Rs. 700
Correct Answer: Rs. 400; Rs. 500
Solution : The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. Let the monthly income of one person be 4$x$ and that of another be 5$x$, Let the monthly expenditure of one person be 7$y$ and that of another be 9$y$. According to the question, $4x-7y=50$ .........................(1) $5x-9y=50$ ..........................(2) Solving these equations we get, $x=100$ and $y= 50$ So, the income of one person $=4×100=400$ and the income of another person $=5×100=500$ Hence, the correct answer is Rs. 400; Rs. 500.
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Question : The monthly incomes of Ravi and Shiv are in the ratio 1 : 2 and their monthly expenditures are in the ratio 1 : 3. If each saves INR 4,000 per month, then find the monthly income of Shiv.
Option 1: INR 16,000
Option 2: INR 18,000
Option 3: INR 14,000
Option 4: INR 20,000
Question : Incomes of x and y are in the ratio 4 : 3. Their expenditures are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is:
Option 1: Rs. 8,000
Option 2: Rs. 6,000
Option 3: Rs. 2,000
Option 4: Rs. 4,000
Question : The ratio of the incomes of A and B is 3 : 5, whereas the ratio of their expenditures is 4 : 7 respectively. If A and B save INR 16,000 and INR 26,000, respectively, then what is the difference (in INR) between their expenditures?
Option 1: 5400
Option 2: 6800
Option 3: 5000
Option 4: 6000
Question : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:
Option 1: 9 : 4
Option 2: 2 : 1
Option 3: 9 : 7
Option 4: 8 : 5
Question : The diagonals of two squares are in the ratio of 3 : 7. What is the ratio of their areas?
Option 1: 3 : 7
Option 2: 9 : 49
Option 3: 4 : 7
Option 4: 7 : 3
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