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One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?
- a)Rs. 200
- b)Rs. 100
- c)Rs. 250
- d)Rs. 150
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
One man can do as much work in 2 days as a transgender can do in 3 day...
Let the number of hired men, transgenders and women be 8x, 7x and 4x respectively.
So, 8x + 7x + 4x = 76
⇒ 19x = 76
∴ x = 4.
So, the number of hired men, transgenders and women are 32, 28 and 16 respectively.
Let a man does 1 work in 2 days.
So, a transgender does 1 work in 3 days.
So, in 1 day, a man does 1/2 work;
And in 1 day, a transgender does 1/3 work.
So, in 1 day, a woman does (3/4)(1/3) = 1/4 work.
So, the working efficiency (work/day) of man: transgender: woman = 1/2: 1/3: 1/4 = 1/2 ×12, 1/3 * 12, 1/4 ×12 [LCM(2,3,4) = 12]
= 6: 4: 3.
So, the ratio of work done in a day by 32 men, 28 transgenders and 16 women = (32×6): (28 * 4): (16 * 3 ) = 12: 7: 3.
Hence, the daily wage of Rs 8800 should be divided in this ratio.
Money earned by 28 transgenders in a day = 7/22 * 8800 = Rs 2800 So, daily wage of a transgender should be Rs 100.
So, 8x + 7x + 4x = 76
⇒ 19x = 76
∴ x = 4.
So, the number of hired men, transgenders and women are 32, 28 and 16 respectively.
Let a man does 1 work in 2 days.
So, a transgender does 1 work in 3 days.
So, in 1 day, a man does 1/2 work;
And in 1 day, a transgender does 1/3 work.
So, in 1 day, a woman does (3/4)(1/3) = 1/4 work.
So, the working efficiency (work/day) of man: transgender: woman = 1/2: 1/3: 1/4 = 1/2 ×12, 1/3 * 12, 1/4 ×12 [LCM(2,3,4) = 12]
= 6: 4: 3.
So, the ratio of work done in a day by 32 men, 28 transgenders and 16 women = (32×6): (28 * 4): (16 * 3 ) = 12: 7: 3.
Hence, the daily wage of Rs 8800 should be divided in this ratio.
Money earned by 28 transgenders in a day = 7/22 * 8800 = Rs 2800 So, daily wage of a transgender should be Rs 100.
Most Upvoted Answer
One man can do as much work in 2 days as a transgender can do in 3 day...
Given Data:
- 1 man = 2 days of work
- 1 transgender = 3 days of work
- 1 woman = 3/4 of a transgender's work
- Ratio of men:transgenders:women = 8:7:4
- Total pairs of hands = 76
- Total payment = Rs. 8,800
Calculating the work done by each type:
- Let the work done by 1 man in a day = M
- Work done by 1 transgender in a day = 3M/2
- Work done by 1 woman in a day = 3M/4
- Total work done by all pairs of hands in a day = 76 pairs * (8M + 7(3M/2) + 4(3M/4)) = 76 * (8M + 10.5M + 3M) = 76 * 21.5M
Calculating the daily wage of a transgender:
- Total payment = Total work done * Daily wage of a transgender
- Rs. 8,800 = 76 * 21.5M * Daily wage of a transgender
- Daily wage of a transgender = Rs. 8,800 / (76 * 21.5) = Rs. 100
Therefore, the daily wage of a transgender should be Rs. 100. Option B is the correct answer.
- 1 man = 2 days of work
- 1 transgender = 3 days of work
- 1 woman = 3/4 of a transgender's work
- Ratio of men:transgenders:women = 8:7:4
- Total pairs of hands = 76
- Total payment = Rs. 8,800
Calculating the work done by each type:
- Let the work done by 1 man in a day = M
- Work done by 1 transgender in a day = 3M/2
- Work done by 1 woman in a day = 3M/4
- Total work done by all pairs of hands in a day = 76 pairs * (8M + 7(3M/2) + 4(3M/4)) = 76 * (8M + 10.5M + 3M) = 76 * 21.5M
Calculating the daily wage of a transgender:
- Total payment = Total work done * Daily wage of a transgender
- Rs. 8,800 = 76 * 21.5M * Daily wage of a transgender
- Daily wage of a transgender = Rs. 8,800 / (76 * 21.5) = Rs. 100
Therefore, the daily wage of a transgender should be Rs. 100. Option B is the correct answer.
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One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. Can you explain this answer?
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One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. 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 One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. Can you explain this answer?.
One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. 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 One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One man can do as much work in 2 days as a transgender can do in 3 days. A woman does three-fourth the work in a day as a transgender. A contractor hires 76 pairs of hands, men, transgenders and women in the ratio 8: 7: 4 and pays them in all Rs. 8,800 at the end of the day’s work. What must the daily wage of a transgender be, if the wages are proportional to the amount of work done?a)Rs. 200b)Rs. 100c)Rs. 250d)Rs. 150Correct answer is option 'B'. Can you explain this answer?.
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