Question

A sum of Rs. 430 has been distributed among 45
people consisting of men, women and children.
The total amount given to men, women and
children are in the ratio 12 : 15 : 16. But, the
amounts received by each man, woman and child
are in the ratio 6:5: 4. Find, what each man,
woman and child receives (in Rs.)
430 रु. को 45 (पुरुपों, महिलाओं और बच्चों) में बांटा गया
है। सभी पुरुषों, महिलाओं और बच्चों को मिलने वाली कुल
राशि का अनुपात 12 : 15 : 16 है। एक पुरुष, महिला और
बच्चा को मिलने वाली राशि का अनुपात 6:5:4है। तो
प्रत्येक पुरुष, महिला और बच्चे को मिलने वाली राशि
बताओ।
(a) 12,10,8
(b) 18,15,12
(c) 120,150,160
(d) 60,75,80​

Answer 1

Answer:

A sum of Rs. 430 has been distributed among 45

people consisting of men, women and children.

The total amount given to men, women and

children are in the ratio 12 : 15 : 16. But, the

amounts received by each man, woman and child

are in the ratio 6:5: 4. Each man received Rs 20

Step-by-step explanation:

Let's work out the amount received by each group using the ratio.

The sum of the ratios = 12 + 15 + 16 = 43

Men = 12/43 × 430 = 120

Women = 15/43 × 430 = 150

Children = 16/43 × 430 = 160

Let x be the number of men and y be the number of women.

Each man gets = 120/x

Each woman = 150/y

The ratio of what a man gets to what a woman gets is = 6:5

So, we have:

(120/x)/(150/y) = 6/5

5(120/x) = 6(150/y)

600/x = 900/y

y/x = 900/600

y/x = 9/6

y = 9

x = 6

There are 6 men.

The amount received by each is given by:

= 120/6 = 20

Each man received Rs 20

Answer 2

Step-by-step explanation:

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

• According to question  
• Ratio of total amount is 12 : 15 : 16
• Ratio of each person is 6 : 5 : 4
• Now ratio of men, women and children will be 12/6 : 15/5 : 16/4
•                                                                       = 2 : 3 : 4
• Now sum will be 2 + 3 + 4 = 9
• Number of men will be = 45 x 2 / 9 = 10
• Number of women = 45 x 3 / 9 = 15
• Number of children = 45 x 4 / 9 = 20
• So dividing Rs 430 in the ratio of 12 : 15 : 16 will be
• Now men’s share will be 430 x 12 / 43 (12 + 15 + 16 = 43)
•                                    = Rs 120
• Women’s share will be 430 x 15 / 43
•                                   = Rs 150
• Children’s share will be 430 x 16 / 43
•                                  = Rs 160
• So each man’s share is 120 / 10 = Rs 12
• Each woman’s share is 150 / 15 = Rs 10
• Each child’s share is 160 / 20 = Rs 8

Reference link will be

https://brainly.in/question/9675882