Question

The expenses on rice. fsb and oll 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 family on these articles are increased by

A 14 1/8 %
B 7 1/8 %
C 56 1/8 %
D 28 1/18 %

Answer 1

The total expenses for the family on the articles of rice, fsb, and oil increased by 28 1/8% after the price changes of 20%, 30%, and 50%, for each item, respectively.

Step-by-step explanation:

The question is asking to calculate the percentage increase in total expenses when the prices of rice, fsb, and oil (could represent any food items), originally in the ratio 12:17:3, are increased by 20%, 30%, and 50%, respectively. To solve this, we first consider the sum of the initial expenses as the sum of the ratio terms, which is 12 + 17 + 3 = 32 units. The new expenses will be 12 × 1.20 for rice, 17 × 1.30 for fsb, and 3 × 1.50 for oil. The new total expenses will be 14.4 (rice) + 22.1 (fsb) + 4.5 (oil) = 41 units. The increase in total expenses is therefore 41 - 32 = 9 units.

Next, calculate the percentage increase with the formula (New Total Expenses - Original Total Expenses) / Original Total Expenses × 100, which is (9/32) × 100. This calculation gives us the increase in total expenses as a percentage. By calculating this percentage, we find that the total expenses of the family on these articles are increased by 28 1/8%, which corresponds to answer D. Therefore, the correct answer is D, which represents a 28 1/8% increase in the family's total expenses for these items.