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The average daily income of 7 men 11 women and 2…

September 7, 2022 by Prabhat

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The average daily income of 7 men, 11 women and 2 boys is Rs. 257.50. If the average daily income of the men is Rs. 10 more than that of women and the average daily income of the women is Rs. 10 more than that of boys the average daily income of a man is –

A. Rs. 277.50
B. Rs. 250
C. Rs. 265
D. Rs. 257

Answer: Option C

Here is complete explanation of The average daily income of 7 men 11 women and 2….

Solution(By ExamCraze Team)

Let per day income of boy, women, man are = x, x + 10, x + 20
According to the question,
$$ Rightarrow frac{{7M + 11W + 2B}}{{20}}$$ = 257.50
$$ Rightarrow 7left( {x + 20} right) + 11left( {x + 10} right) + 2x$$ = 257.50 × 20
$$ Rightarrow 7x + 140 + 11x + 110 + 2x$$ = 5150
$$eqalign{ & Rightarrow 20x = 5150 - 250 cr & Rightarrow x = frac{{4900}}{{20}} cr & Rightarrow x = 245 cr} $$
Per day income of man
= x + 20
= 245 + 20
= 265