If the price of onion increases from `Rs. 24` per/kg to `Rs36` per/kg, then by what percentage a household should decrease the consumption of onioon so that expenditure remains same ?

Options

A. `25`
B. `33.33`
C. `50`
D. `20`

Answer

To solve the problem of how much a household should decrease the consumption of onions to keep their expenditure the same after the price increase, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial and New Prices**:
- Initial price of onions = Rs. 24 per kg
- New price of onions = Rs. 36 per kg

2. **Calculate the Increase in Price**:
- Increase in price = New price - Initial price
- Increase in price = Rs. 36 - Rs. 24 = Rs. 12

3. **Calculate the Ratio of the Prices**:
- The ratio of the new price to the old price = New price / Initial price
- Ratio = Rs. 36 / Rs. 24 = 3 / 2

4. **Determine the Consumption Adjustment**:
- If the price increases, the consumption must decrease to keep the expenditure the same.
- If the price ratio is 3:2, then the consumption must be adjusted inversely.
- Therefore, the new consumption ratio = Old consumption / (New price / Old price) = 2 / 3 of the original consumption.

5. **Calculate the Percentage Decrease in Consumption**:
- The decrease in consumption = Original consumption - New consumption
- Decrease = Original consumption - (2/3) * Original consumption
- Decrease = (1/3) * Original consumption

- To find the percentage decrease:
- Percentage decrease = (Decrease / Original consumption) * 100
- Percentage decrease = [(1/3) * Original consumption / Original consumption] * 100
- Percentage decrease = (1/3) * 100 = 33.33%

### Final Answer:
The household should decrease the consumption of onions by **33.33%** to keep their expenditure the same.

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