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The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in Rupees) of A is
- a)8,000
- b)10,000
- c)16,000
- d)18,000
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The monthly salaries of A and B together amount to ` 40,000. A spends ...
Let the monthly salary of A be x,, monthly salary of B is (40000 – x).
Savings of A = (100 – 85)% of x = 0.15x Savings of B = (100 – 95)% of (40000 – x) = 0.05 (40000 – x) 0.15 x = 0.05 (40000 – x) 0.15x + 0.05x = 40000 × 0.05 0.2x = 2000 x = 10000 OR
Salary of A =
Savings of A = (100 – 85)% of x = 0.15x Savings of B = (100 – 95)% of (40000 – x) = 0.05 (40000 – x) 0.15 x = 0.05 (40000 – x) 0.15x + 0.05x = 40000 × 0.05 0.2x = 2000 x = 10000 OR
Salary of A =
Most Upvoted Answer
The monthly salaries of A and B together amount to ` 40,000. A spends ...
Given information:
- A + B = 40,000
- A spends 85% of his salary
- B spends 95% of his salary
- Their savings are the same
To find: Salary of A
Solution:
Let the salaries of A and B be x and y respectively.
So, we have:
x + y = 40,000 -------(i)
A spends 85% of his salary, so his savings are (100-85)% = 15% of his salary.
B spends 95% of his salary, so his savings are (100-95)% = 5% of his salary.
Given, their savings are the same.
So, 0.15x = 0.05y
=> x/y = 1/3
=> y = 3x --------(ii)
Substituting equation (ii) in equation (i), we get:
x + 3x = 40,000
=> 4x = 40,000
=> x = 10,000
Therefore, the salary of A is `10,000.
Hence, option (b) is the correct answer.
- A + B = 40,000
- A spends 85% of his salary
- B spends 95% of his salary
- Their savings are the same
To find: Salary of A
Solution:
Let the salaries of A and B be x and y respectively.
So, we have:
x + y = 40,000 -------(i)
A spends 85% of his salary, so his savings are (100-85)% = 15% of his salary.
B spends 95% of his salary, so his savings are (100-95)% = 5% of his salary.
Given, their savings are the same.
So, 0.15x = 0.05y
=> x/y = 1/3
=> y = 3x --------(ii)
Substituting equation (ii) in equation (i), we get:
x + 3x = 40,000
=> 4x = 40,000
=> x = 10,000
Therefore, the salary of A is `10,000.
Hence, option (b) is the correct answer.
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The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in Rupees) of A isa)8,000b)10,000c)16,000d)18,000Correct answer is option 'B'. Can you explain this answer?
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The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in Rupees) of A isa)8,000b)10,000c)16,000d)18,000Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in Rupees) of A isa)8,000b)10,000c)16,000d)18,000Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The monthly salaries of A and B together amount to ` 40,000. A spends 85% of his salary and B, 95% of his salary. If now their savings are the same, then the salary (in Rupees) of A isa)8,000b)10,000c)16,000d)18,000Correct answer is option 'B'. Can you explain this answer?.
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