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?
Question
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?
Solution
Step 1: Let's denote the incomes of A and B last year as 9x and 10x respectively.
Step 2: According to the problem, the ratio of A's income last year to this year is 3:5. So, if A's income last year was 9x, this year it would be (5/3)*9x = 15x.
Step 3: Similarly, the ratio of B's income last year to this year is 5:7. So, if B's income last year was 10x, this year it would be (7/5)*10x = 14x.
Step 4: The total income of A and B this year is given as 1,16,000. So, 15x + 14x = 1,16,000. Solving this equation gives x = 4000.
Step 5: Therefore, A's income this year is 15x = 154000 = 60,000 and B's income this year is 14x = 144000 = 56,000.
Step 6: The difference in their incomes this year is 60,000 - 56,000 = 4,000.
Similar Questions
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?
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?
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?
The ratio of the incomes of A and B is 5:4 and the ratio of their expenditures is 3:2 if at the end of the year, each saves Rs 1600,Find the inccome of A.
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/
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.