Question

The expenses on wheat, meat and vegetables of a family are in the ratio 12: 17 : 3. The prices of these articles are increased by 20%, 30% and 50% respectively. The total expenses of the family on these articles are increased by

• A. 23$\frac{1}{3}$%
• B. 28$\frac{1}{8}$%
• C. 27$\frac{1}{8}$%
• D. 25$\frac{1}{7}$%

Answer 1

The correct option is B 28$\frac{1}{8}$%

Given that expense on Wheat, Meat and Vegetable =12x + 17x + 3x = 32x
New expense on wheat, Meat and Vegetable
= 1.2 $\times 12x+1.3\times 17x+1.5\times 3x$
= 14.4x + 22.1x + 4.5x = 41x
Percentage increase in expense = $\frac{9}{32}\times 100=28\frac{1}{8}$%