A sum of Rs 430 has been distributed among 45 people consisting of men women and children The ...........

Quantitative Aptitude ( CCS) Ratio, Proportion

A sum of Rs 430 has been distributed among 45 people consisting of men, women and children. The total amounts given to men, women and children are in the ratio 12 : 15 : 16.But the amounts received by each man, woman and children are in the ratio 6 : 5 : 4. Find what each man, woman and child received (in Rs)?

18,15,12

120,150,160

12,10,8

60,75,80

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Explanation:

Total amount = 430
Total people = 45
Ratio of personal shares = 6 : 5 : 4
Ratio of the amounts = 12 : 15 :16
Ratio of men, women and children = 12/6 : 15/5 : 16/4 = 2 : 3: 4
Sum of these ratios = 2 + 3 + 4 = 9
Number of men = (45 ×2)/9 = 10
Number of women = (45 ×3)/9 = 15
Number of children = 45 – (10 + 15) = 20
Now, divide ? 430 in the ratio 12 : 15 : 16
Total amount of men’s share = (430 ×12)/43 = Rs120
Total amount of women’s share = (430 ×15)/43 = Rs150
Total amount of children’s share = 430 – (120 +150) = Rs 160
Each man’s share = 120/10 = Rs 12
Each woman’s share = 150/15 = Rs 10
Each child’s share = 160/20 = Rs 8