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15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?
- a)135
- b)180
- c)240
- d)205
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
15 men, 18 women and 12 boys working together earns Rs. 2070. If daily...
: (15 x 4) : (18 x 3) : (12 x 2)
60: 54 + 24 → Sum 2070
138 ≡ 2070
1 ≡ 15
So, [(1 x 4) + (2 x 3) + (3 x 2)] x 15
= 16 x 15 = 240
60: 54 + 24 → Sum 2070
138 ≡ 2070
1 ≡ 15
So, [(1 x 4) + (2 x 3) + (3 x 2)] x 15
= 16 x 15 = 240
Most Upvoted Answer
15 men, 18 women and 12 boys working together earns Rs. 2070. If daily...
Given:
- Number of men = 15
- Number of women = 18
- Number of boys = 12
- Total earnings = Rs. 2070
Let's find the ratio of their daily wages:
- Ratio of men's wages to women's wages = 4:3
- Ratio of women's wages to boys' wages = 3:2
To find the daily wages of 1 man, 2 women, and 3 boys, we need to find the common multiple of these ratios.
Step 1: Finding the common multiple of the ratios
The common multiple of 4, 3, and 2 is 12. So, let's multiply the ratios by 12 to get whole numbers:
- Ratio of men's wages to women's wages = 4 * 12 : 3 * 12 = 48 : 36
- Ratio of women's wages to boys' wages = 36 : 24
Step 2: Finding the total wages earned by each group
- Total wages earned by men = 15 * 48
- Total wages earned by women = 18 * 36
- Total wages earned by boys = 12 * 24
Step 3: Finding the daily wages of 1 man, 2 women, and 3 boys
- Daily wage of 1 man = Total wages earned by men / Number of men
- Daily wage of 2 women = Total wages earned by women / Number of women
- Daily wage of 3 boys = Total wages earned by boys / Number of boys
Let's calculate these values:
Total wages earned by men = 15 * 48 = 720
Total wages earned by women = 18 * 36 = 648
Total wages earned by boys = 12 * 24 = 288
Daily wage of 1 man = 720 / 15 = 48
Daily wage of 2 women = 648 / 18 = 36
Daily wage of 3 boys = 288 / 12 = 24
Therefore, the daily wage of 1 man, 2 women, and 3 boys is:
- 1 man = Rs. 48
- 2 women = Rs. 36
- 3 boys = Rs. 24
Hence, the correct answer is option C) 240.
- Number of men = 15
- Number of women = 18
- Number of boys = 12
- Total earnings = Rs. 2070
Let's find the ratio of their daily wages:
- Ratio of men's wages to women's wages = 4:3
- Ratio of women's wages to boys' wages = 3:2
To find the daily wages of 1 man, 2 women, and 3 boys, we need to find the common multiple of these ratios.
Step 1: Finding the common multiple of the ratios
The common multiple of 4, 3, and 2 is 12. So, let's multiply the ratios by 12 to get whole numbers:
- Ratio of men's wages to women's wages = 4 * 12 : 3 * 12 = 48 : 36
- Ratio of women's wages to boys' wages = 36 : 24
Step 2: Finding the total wages earned by each group
- Total wages earned by men = 15 * 48
- Total wages earned by women = 18 * 36
- Total wages earned by boys = 12 * 24
Step 3: Finding the daily wages of 1 man, 2 women, and 3 boys
- Daily wage of 1 man = Total wages earned by men / Number of men
- Daily wage of 2 women = Total wages earned by women / Number of women
- Daily wage of 3 boys = Total wages earned by boys / Number of boys
Let's calculate these values:
Total wages earned by men = 15 * 48 = 720
Total wages earned by women = 18 * 36 = 648
Total wages earned by boys = 12 * 24 = 288
Daily wage of 1 man = 720 / 15 = 48
Daily wage of 2 women = 648 / 18 = 36
Daily wage of 3 boys = 288 / 12 = 24
Therefore, the daily wage of 1 man, 2 women, and 3 boys is:
- 1 man = Rs. 48
- 2 women = Rs. 36
- 3 boys = Rs. 24
Hence, the correct answer is option C) 240.
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15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. Can you explain this answer?
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15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. 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 15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. Can you explain this answer?.
15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. 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 15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 15 men, 18 women and 12 boys working together earns Rs. 2070. If daily wages of a man, a woman and a boy are in the ratio 4:3:2. The daily wage of 1 man and 2 women and 3 boys are?a)135b)180c)240d)205Correct answer is option 'C'. Can you explain this answer?.
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