Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman
Posted on 25-01-2023
Ques - Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7: 4: 3. What is the share of a woman?
(a) Rs. 336
(b) Rs. 498
(c) Rs. 166
(d) Rs. 256
Solution -
Let,
The share of a man = 7x
The share of a woman = 4x
The share of a boy = 3x
Rs. 4536 is divided among 4 men, 5 women and 2 boys. (given)
Now,
The share of 4 men = 4 × 7x
= 28x
The share of 5 women = 5 × 4x
= 20x
The share of 2 boys = 2 × 3x
=6x
A/C
28x + 20x +6x = 4536
54x = 4536
x = 84
Thus,
The share of a woman = 4x
= 4 × 84
= 256
Hence,
The correct answer is option (d) Rs. 256.
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