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The ratio of the incomes of 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?
- a)Rs 32,000
- b)Rs 24,000
- c)Rs 20,000
- d)Rs 30,000
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The ratio of the incomes of A and B last year was 9 : 13. Ratio of the...
Ratio of last year income to this year income of A is 9 : 10. So income of A last year is 9x and this year is 10x.
Ratio of last year income to this year income of B is 13 : 15. So income of B last year is 13y and this year is 15y.
So ratio of the incomes of A and B last year was 9x : 13y
Now given that ratio of the incomes of A and B last year was 9 : 13.
So 9x/13y = 9/13
This gives x = y
Total of incomes of A and B this year = 10x+15y = 10x+15x = 25 x (because x=y)
So 25x = 50,000
This gives x = 2,000
So present income of B = 15y = 15x = 15*2000 = 30,000
Most Upvoted Answer
The ratio of the incomes of A and B last year was 9 : 13. Ratio of the...
Given information:
- Ratio of incomes of A and B last year = 9:13
- Ratio of incomes of A last year to this year = 9:10
- Ratio of incomes of B last year to this year = 13:15
- Sum of present incomes of A and B = Rs 50,000
Approach:
Let's assume the income of A and B last year to be 9x and 13x respectively. Using this assumption, we can calculate their present incomes using the given ratios. Then we can add their present incomes to get the sum and use it to find the present income of B.
Calculation:
- Let the income of A and B last year be 9x and 13x respectively
- Ratio of incomes of A last year to this year = 9:10
=> Income of A this year = (10/9) * 9x = 10x
- Ratio of incomes of B last year to this year = 13:15
=> Income of B this year = (15/13) * 13x = 15x
- Sum of present incomes of A and B = Rs 50,000
=> 10x + 15x = Rs 50,000
=> 25x = Rs 50,000
=> x = Rs 2,000
- Present income of B = 15x = 15 * 2000 = Rs 30,000
Answer:
Therefore, the present income of B is Rs 30,000. Hence, option D is the correct answer.
- Ratio of incomes of A and B last year = 9:13
- Ratio of incomes of A last year to this year = 9:10
- Ratio of incomes of B last year to this year = 13:15
- Sum of present incomes of A and B = Rs 50,000
Approach:
Let's assume the income of A and B last year to be 9x and 13x respectively. Using this assumption, we can calculate their present incomes using the given ratios. Then we can add their present incomes to get the sum and use it to find the present income of B.
Calculation:
- Let the income of A and B last year be 9x and 13x respectively
- Ratio of incomes of A last year to this year = 9:10
=> Income of A this year = (10/9) * 9x = 10x
- Ratio of incomes of B last year to this year = 13:15
=> Income of B this year = (15/13) * 13x = 15x
- Sum of present incomes of A and B = Rs 50,000
=> 10x + 15x = Rs 50,000
=> 25x = Rs 50,000
=> x = Rs 2,000
- Present income of B = 15x = 15 * 2000 = Rs 30,000
Answer:
Therefore, the present income of B is Rs 30,000. Hence, option D is the correct answer.
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The ratio of the incomes of 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?a)Rs 32,000b)Rs 24,000c)Rs 20,000d)Rs 30,000e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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The ratio of the incomes of 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?a)Rs 32,000b)Rs 24,000c)Rs 20,000d)Rs 30,000e)None of theseCorrect answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about The ratio of the incomes of 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?a)Rs 32,000b)Rs 24,000c)Rs 20,000d)Rs 30,000e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the incomes of 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?a)Rs 32,000b)Rs 24,000c)Rs 20,000d)Rs 30,000e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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