Question

Distribute 425/- amongst 4 men, 5 women and 6 children in such a way that ratio between the amount a man, a woman and a child receives is 9 : 8 : 4​

Answer 1

ANSWER:

• Amount received by four men = ₹153

• Amount received by five women = ₹170

• Amount received by six children = ₹102

GIVEN:

• There are four men, five women, six children.

• The ratio between the amount a man, a woman and a child receives is 9 : 8 : 4.

TO FIND:

• The amounts received by four men, five women, six children when ₹425 is distributed as per given ratio.

EXPLANATION:

Ratio of man : woman : child = 9 : 8 : 4.

There are four men, five women and six children. So multiply by the ratio by their respective numbers.

Ratio of 4 men : 5 woman : 6 child = 36 : 40 : 24.

Ratio of 4 men : 5 woman : 6 child = 9 : 10 : 6.

(On simplification)

Total parts = 9 + 10 + 6 = 25

One part => 425/25 = ₹17

Amount received by four men = 9 × 17 = ₹153

Amount received by five women = 10 × 17 = ₹170

Amount received by six children = 6 × 17 = ₹102

Answer 2

Given :-

425 amongst 4 men, 5 women and 6 children in such a way that ratio between the amount a man, a woman and a child receives is 9 : 8 : 4​

To Find :-

Amount received

Solution :-

Ratio of men = 4 × 9

Ratio of men = 36

Ratio of women = 5 × 8

Ratio of women = 40

Ratio of children = 6 × 4

Ratio of children = 24

Now

Ratio = 36 : 40 : 24

Divide by 4

Ratio = 9 : 10 : 6

Let the part of each be 9x, 10x and 6x

9x + 10x + 6x = 425

25x = 425

x = 425/25

x = 17

Now

Amount for men = 9 × 17 = ₹ 153

Amount of women =  10 × 17 = ₹ 170

Amount of cildren =  6 × 17 = ₹ 102

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