Multiple choice

The average daily wage of 8 men, 10 women and 2 girls is Rs. 280. If the average daily wage of the men is Rs. 10 more than that of the women and the average daily wage of the women is Rs. 10 more than that of the girls, then the average daily wage of the men is

  1. Rs. 287

  2. Rs. 280

  3. Rs. 282

  4. Rs. 286

  5. Rs. 285
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let girl wage = g. Woman wage = g+10. Man wage = g+20. Total wage = 8(g+20) + 10(g+10) + 2g = 280 * 20. 8g + 160 + 10g + 100 + 2g = 5600. 20g + 260 = 5600. 20g = 5340. g = 267. Man wage = 267 + 20 = 287.

AI explanation

The total wages for the group is 280 multiplied by 20, equaling 5600. Let the average daily wage of the girls be g; then the average wage of the women is g plus 10, and the average wage of the men is g plus 20. The total wage equation is 2g plus 10(g plus 10) plus 8(g plus 20) equaling 5600. Solving this equation gives 20g plus 260 equaling 5600, so g equals 267. The average wage of the men is g plus 20, which is 287. The result is A.

Keep practicing — related questions