Q. Rs 9072 is divided among 4 men 5 womens 3 boys. The ratio of share of a man, a woman's a boy is 7:4:3 . What is the share of a woman?
Answers
Step-by-step explanation:
share of men, women, and a boys = 7x, 4x, 3x
share of 4 men = 4*7x
share of 5 women = 4*5x
share of 3 boys = 3*3x
20 x
share of all women = ----------------------------- * 9072
((28x + 20x + 9x))
share of all women = 3183.157
share of 1 women = 3183.157/5
share of 1 women = 636.631
Answer:
The share of a woman?= Rs 637
Step-by-step explanation:
Let us suppose that 'x' is the amount of share each one gets(man, women, boy)
Given:
Ratio of the share= 7:4:3
Therefore, the amount of share divided among each will be:
Man= 7x
Women= 4x
Boy= 3x
Now, given;
The amount Rs 9072 is divided among
4 men;
As seen in the above explanation,
1 Man- amount shared is 7x
for 4 men, amount will be
4×7x= 28x
5 women;
As seen in the above explanation,
1 Woman- amount shared is 4x
for 5 women, amount will be
5×4x= 20x
3 boys;
As seen in the above explanation,
1 Boy- amount shared is 3x
for 3 boys, amount shared will be
3×3x= 9x
Also given is: the amount shared by all 4 men, 5 women, 3 boys adds to Rs 9072
therefore, the equation will be as follows:
28x+20x+9x= 9072
Now adding up the values;
57x= 9072
x= 9072÷57
x= 159.2
The question asks share of a women(single, not 5 women):
As discussed above;
1 Woman- amount shared is 4x
x= 159.2
4x= 159.2×4
=636.8
This can be rounded of to 637
The share of a women= 4x
= Rs 637
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