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

Option 1: Rs. 277.5

Option 2: Rs. 250

Option 3: Rs. 265

Option 4: Rs. 257


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 6th Jan, 2024

Correct Answer: Rs. 265


Solution : Let per day income of a boy, woman, and man be $x, x+10,$ and $x+20,$ respectively.
According to the question,
$\frac{\text{Total income of (7 Men + 11 Women + 2 Boys)}}{20} = 257.50$
Putting the values, we get:
$7(x+20)+11(x+10)+2x = 257.50×20$
$⇒7x+140+11x+110+2x = 5150$
$⇒20x = 5150 - 250$
$⇒x = \frac{4900}{20}$
$\therefore x= 245$
$\therefore$ Average daily income of a man $ = x + 20 = 245 + 20 = 265$
Hence, the correct answer is Rs. 265.

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