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If 5 men or 7 women can earn ₹ 1372 per day. How much would 10 men and 5 women earn per day?
- a)₹ 3724
- b)₹ 3624
- c)₹ 3524
- d)₹ 3124
Correct answer is option 'A'. Can you explain this answer?
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If 5 men or 7 women can earn ₹1372 per day. How much would 10 me...
Given 5 men = 7 women
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If 5 men or 7 women can earn ₹1372 per day. How much would 10 me...
Solution:
To solve this problem, we can start by finding the earning capacity of a single man and a single woman.
Let's assume that the earning capacity of a man per day is 'm' and the earning capacity of a woman per day is 'w'.
According to the given information, 5 men or 7 women can earn 1372 per day. This can be expressed in the form of equations as follows:
5m = 7w = 1372
To find the value of 'm', we can rewrite the equation as:
m = 1372/5
Similarly, to find the value of 'w', we can rewrite the equation as:
w = 1372/7
Now, we need to find the total earning per day when there are 10 men and 5 women.
To find this, we can multiply the earning capacity of a man by 10 and the earning capacity of a woman by 5, and then add the two values together.
Total earning per day = (m*10) + (w*5)
Substituting the values of 'm' and 'w' from the previous calculations, we get:
Total earning per day = (1372/5 * 10) + (1372/7 * 5)
Simplifying further:
Total earning per day = 274.4 * 10 + 196 * 5
Total earning per day = 2744 + 980
Total earning per day = 3724
Therefore, the total earning per day when there are 10 men and 5 women is 3724.
Hence, option 'A' is the correct answer.
To solve this problem, we can start by finding the earning capacity of a single man and a single woman.
Let's assume that the earning capacity of a man per day is 'm' and the earning capacity of a woman per day is 'w'.
According to the given information, 5 men or 7 women can earn 1372 per day. This can be expressed in the form of equations as follows:
5m = 7w = 1372
To find the value of 'm', we can rewrite the equation as:
m = 1372/5
Similarly, to find the value of 'w', we can rewrite the equation as:
w = 1372/7
Now, we need to find the total earning per day when there are 10 men and 5 women.
To find this, we can multiply the earning capacity of a man by 10 and the earning capacity of a woman by 5, and then add the two values together.
Total earning per day = (m*10) + (w*5)
Substituting the values of 'm' and 'w' from the previous calculations, we get:
Total earning per day = (1372/5 * 10) + (1372/7 * 5)
Simplifying further:
Total earning per day = 274.4 * 10 + 196 * 5
Total earning per day = 2744 + 980
Total earning per day = 3724
Therefore, the total earning per day when there are 10 men and 5 women is 3724.
Hence, option 'A' is the correct answer.
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