Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman

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.

Thank You