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A firm reduced employees in the ratio 12 ∶ 5 in time of inflation, and the average wage per employee increased in the ratio 9 ∶ 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?
- a)Rs 1,90,000
- b)Rs 90,000
- c)Rs 2,16,000
- d)Rs 2,50,000
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A firm reduced employees in the ratio 12 5 in time of inflation, and ...
Given:
- The firm reduced employees in the ratio 12:5.
- The average wage per employee increased in the ratio 9:17.
- The firm saved Rs.46,000.
To find:
The initial expenditure (in Rs) of the firm.
Approach:
1. Let's assume that the initial number of employees was 12x and the initial average wage per employee was 9y.
2. Therefore, the initial expenditure of the firm would be (12x * 9y) = 108xy.
3. After the reduction, the number of employees becomes 5x and the average wage per employee becomes 17y.
4. The new expenditure of the firm would be (5x * 17y) = 85xy.
5. The firm saved Rs.46,000, which means the difference between the initial expenditure and the new expenditure is Rs.46,000.
6. Therefore, 108xy - 85xy = 46,000.
7. Simplifying the equation, we get 23xy = 46,000.
8. Dividing both sides by 23, we get xy = 2,000.
9. The initial expenditure of the firm was 108xy = 108 * 2,000 = Rs.2,16,000.
Therefore, the initial expenditure of the firm was Rs.2,16,000.
- The firm reduced employees in the ratio 12:5.
- The average wage per employee increased in the ratio 9:17.
- The firm saved Rs.46,000.
To find:
The initial expenditure (in Rs) of the firm.
Approach:
1. Let's assume that the initial number of employees was 12x and the initial average wage per employee was 9y.
2. Therefore, the initial expenditure of the firm would be (12x * 9y) = 108xy.
3. After the reduction, the number of employees becomes 5x and the average wage per employee becomes 17y.
4. The new expenditure of the firm would be (5x * 17y) = 85xy.
5. The firm saved Rs.46,000, which means the difference between the initial expenditure and the new expenditure is Rs.46,000.
6. Therefore, 108xy - 85xy = 46,000.
7. Simplifying the equation, we get 23xy = 46,000.
8. Dividing both sides by 23, we get xy = 2,000.
9. The initial expenditure of the firm was 108xy = 108 * 2,000 = Rs.2,16,000.
Therefore, the initial expenditure of the firm was Rs.2,16,000.
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Community Answer
A firm reduced employees in the ratio 12 5 in time of inflation, and ...
Formula Used:
Expenditure = number of employee × average wage
Expenditure = number of employee × average wage
Calculation:
Let the number of employee of the firm be 12x and 5x pre and post reduction respectively.
and average salary be 9y and 17 y pre and post reduction respectively.
Expenditure before reduction is 12x × 9y
Expenditure after reduction is 5x × 17y
ATQ: 12x × 9y - 5x × 17y = 46000
⇒ (108 - 85)xy = 46000
⇒ 23xy = 46000
⇒ xy = 2000
Expenditure before reduction is 12x × 9y = 108 × xy = 108 × 2000 = 216000
Expenditure before reduction is Rs. 216000.
Let the number of employee of the firm be 12x and 5x pre and post reduction respectively.
and average salary be 9y and 17 y pre and post reduction respectively.
Expenditure before reduction is 12x × 9y
Expenditure after reduction is 5x × 17y
ATQ: 12x × 9y - 5x × 17y = 46000
⇒ (108 - 85)xy = 46000
⇒ 23xy = 46000
⇒ xy = 2000
Expenditure before reduction is 12x × 9y = 108 × xy = 108 × 2000 = 216000
Expenditure before reduction is Rs. 216000.
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A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer?
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A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer?.
A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A firm reduced employees in the ratio 12 5 in time of inflation, and the average wage per employee increased in the ratio 9 17. By doing so, the firm saved Rs.46,000. What was the initial expenditure (in Rs) of the firm?a)Rs 1,90,000b)Rs 90,000c)Rs 2,16,000d)Rs 2,50,000Correct answer is option 'C'. Can you explain this answer?.
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