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
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
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.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates BrochureYour Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.