The ratio of incomes of two persons A and B last year was 9:13. Ratio of their incomes of last year to this year is 9:10 and 13:15 respectively. The sum of their present incomes is Rs. 50,000. What is the present income of B?OptionsRs. 32,000Rs. 20,000Rs. 30,000Rs. 24,000
Question
The ratio of incomes of two persons A and B last year was 9:13. Ratio of their incomes of last year to this year is 9:10 and 13:15 respectively. The sum of their present incomes is Rs. 50,000. What is the present income of B?OptionsRs. 32,000Rs. 20,000Rs. 30,000Rs. 24,000
Solution
Let's solve this step by step:
Step 1: Let's assume the incomes of A and B last year were 9x and 13x respectively.
Step 2: According to the problem, the ratio of their incomes of last year to this year is 9:10 for A and 13:15 for B. So, the incomes of A and B this year are 10x and 15x/13 respectively.
Step 3: The problem states that the sum of their present incomes is Rs. 50,000. So, we can set up the equation: 10x + 15x/13 = 50,000.
Step 4: Solving this equation for x, we get x = Rs. 2000.
Step 5: Substituting x = 2000 into the equation for B's income this year, we get B's income = 15x/13 = 15*2000/13 = Rs. 30,000.
So, the present income of B is Rs. 30,000.
Similar Questions
The ratio of the incomes of A and B last year was 9:10, respectively. The ratios of their individual incomes of the last year and the present year are 3:5 and 5:7, respectively. If their total income for the present year is 1,16,000. What is the present year income difference?Options5,0004,0003,0002,000
The ratio of the incomes of A and B last year was 4:3, respectively. The ratios of their individual incomes of the last year and the present year are 3:4 and 5:6, respectively. If their total income for the present year is ₹8.04 lakh, then the income of B last year was?Options₹2.8 lakh₹2.4 lakh₹3.6 lakh₹2.7 lakh
Select the correct answerThe incomes of two persons A and B are in the ratio 1: 2 and the ratio of their expenditures is 2: 5. If A saves Rs.20,000 and B saves Rs.35,000, what is the total income of A and B?Options60000300009000070000
Incomes of A and B are in the ratio 9:10. Their expenditures are in the ratio 4:5. If they save Rs.6000 and Rs. 5000 respectively, what is the sum of their incomes?Question 3Answera.64,000b.57,000c.19,000/-d.38,000/
The incomes of A and B are in the ratio 7 : 9. and their expenditures are in the ratio 3:5. Ifeach one saves 1200 Rs, then what is the income of A?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.