Multiple choice

The cost of manufacturing of an article consists of material, labor and overheads cost which are in the ratio $4 : 3 : 2$. If the cost of labor is Rs.$ 45$, find the total cost the article. Also, find the profit percent, if the article is sold for Rs. $180$.

  1. $191;\, \displaystyle 12\frac{1}{5}$%
  2. $191;\, \displaystyle 19\frac{1}{5}$%
  3. $135;\, \displaystyle 33\frac{1}{3}$%
  4. $135;\, \displaystyle 43\frac{1}{3}$%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Ratio 4:3:2. Labor cost (3 parts) = 45, so 1 part = 15. Total cost = (4+3+2) * 15 = 135. Profit = 180 - 135 = 45. Profit percent = (45/135) * 100 = 100/3 = 33 1/3%.

AI explanation

Let the material, labor, and overheads costs be 4x, 3x, and 2x respectively. Since the labor cost is Rs. 45, we have 3x = 45, so x = 15. The total cost is the sum of the ratio parts (4 + 3 + 2 = 9 parts), making it 9x, which is 9 multiplied by 15, equaling Rs. 135. The profit when sold for Rs. 180 is (180 - 135) divided by 135, giving a profit of 45/135, which is 33 1/3%.

Keep practicing — related questions