Question

A man, a woman and a boy earn in the ratio of 5 : 4 : 3. If 10 men, 16 women and 25 boys earn Rs.378. How much does each earn?

Man = Rs. 10, Woman = Rs. 8, Boy = Rs. 6

Man = Rs. 12, Woman = Rs. 10, Boy = Rs. 8

Man = Rs. 9, Woman = Rs. 7, Boy = Rs. 5

Man = Rs. 8, Woman = Rs. 6, Boy = Rs. 4


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Answer 1

Man = Rs. 10, Woman = Rs. 8, Boy = Rs. 6

Step-by-step explanation:

10m + 16w + 25b = 378

Let man, woman and boy earn 5x, 4x and 3x as per the given ratio.

Then, the equation becomes 10(5x) + 16(4x) + 25(3x) = 378

50x + 64x + 75x = 378

189x = 378

Therefore x=2

So earnings of Man = 5*2 = Rs. 10

Earnings of Woman = 4*2 = Rs. 8

Earnings of Boy = 3*2 = Rs. 6

Answer 2

Man = Rs. 10, Woman = Rs. 8, Boy = Rs. 6

Step-by-step explanation:

Ratio of earning 5 : 4 : 3.

Let 5x, 4x and 3x be the earning of a man, a woman and a boy respectively.

Total earnings of all = Rs 378

10 men + 16 women + 25 boys = 378

10 (5x) + 16 (4x) + 25 (3x) = 378

50x + 64x + 75x = 378

189x = 378

$x =\frac{378}{189}$

x = 2

Earning of a man = 5(2) = Rs 10

Earning of a woman = 4(2) = Rs 8

Earning of a boy = 3(2) = Rs 6

Man = Rs. 10, Woman = Rs. 8, Boy = Rs. 6

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