Rs 425 is divided among 4 men ,5 women,and 6 boys such that the share of a man, a womean and a boy may be in the ratio 9:8:4. what is the share of a woman
Answers
Let 1 man, 1 woman, 1 boy get = 9x, 8x, 4x money each
So,
425 = 4(9x) + 5(8x) + 6(4x) = 36x + 40x + 24x =100x
x = 4.25
So,
Share of a woman is
8x = 8(4.25)
= 34
Therefore, share of a woman is 34.
Given : divide Rs.425 among 4 men, 5 women and 6 boys so that
share of a man, a woman and a boy may be in the ratio of 9:8:4
To Find : Share of Each
Solution:
Share of a man, a woman and a boy in ratio 9:8:4
Assume that their portions are 9x , 8x and 4x respectively
4 Men gets = 4 * 9x = 36x Rs
5 Women gets = 5 * 8x = 40x Rs
6 Boys gets = 6 * 4x = 24x Rs
Total = 36x + 40x + 24x = 100x Rs
100x = 425
=> x = 4.25
4 Men gets = 4 * 9x = 36 * 4.25 = 153 Rs
5 Women gets = 5 * 8x = 40 * 4.25 = 170 Rs
6 Boys gets = 6 * 4x = 24 * 4.25 = 102 Rs
share of a woman is 170/5 = 34 Rs
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