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
Correct Answer: 6000
Solution : Let's see the incomes of A and B as IA and IB, and their expenditures as EA and EB. So, A' s saving = IA − EA = 16,000 and B's saving = IB − EB = 26,000 Let the incomes of A and B be 3$k$ and 5$k$ respectively. So, IA = 3$k$ and IB = 5$k$ ⇒ EA = 3$k$ + 16000 and EB = 5$k$ + 26,000 So, according to the question $\frac{3k - 16000}{5k - 26000}= \frac{4}{7}$ ⇒ $21k - 112000 = 20k - 104000$ ⇒ $k= 8000$ So, the incomes of A and B are 24000 and 40000 respectively. EA = 24000 – 16000 = 8,000 EB = 40000 – 26000 = 14,000 $\therefore$ Difference = 14000 – 8000 = 6,000 Hence, the correct answer is 6,000.
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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 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
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
Question : A sum (in INR) is distributed between A, B, and C in the ratio 9 : 6 : 11. If A gives INR 500 from his share to C, the ratio of shares of A, B, and C becomes 4 : 3 : 6. What is the sum of shares (in INR) of B and C, in the beginning?
Option 1: INR 8,500
Option 2: INR 9,100
Option 3: INR 7,800
Option 4: INR 7,500
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