Calculation of New Rice Consumption After Price Increase

The price of essential goods can significantly impact a family's budget. This article explores how a family adjusts its rice consumption when the price rises. We'll calculate the new consumption levels under different scenarios and provide practical insights for managing household expenses.

Scenario 1: 22.22% Price Increase

Assume the price of rice per kilogram increases by 22.22%. Earlier, a family consumed 20 kg of rice per month, spending a certain amount. Now, they aim to reduce their expenditure to an additional 10 units of the previous cost.

Step-by-Step Solution:

Original Expenditure: Let the original price per kilogram be P. The total expenditure before the price increase for 20 kg is 20P. New Price Calculation: The new price per kilogram after a 22.22% increase is 1.2222P. New Expenditure Requirement: The family now only wishes to spend 10 units more than the original amount, making the new expenditure 20P 2P 22P. Calculate New Consumption: Let the new consumption be Q. We have the equation Q times; 1.2222P 22P.

Solving for Q:

Therefore, the new quantity consumed by the family is approximately 18 kg.

Scenario 2: 35% Price Increase

A similar situation arises with a 35% price increase in rice. Initially, the family consumes 30 kg of rice per month. They wish to increase their expenditure by only 17%

Step-by-Step Solution:

Original Expenditure: Let the original price per kilogram be P. The total expenditure before the price increase for 30 kg is 30P. New Expenditure Requirement: The new expenditure is 30P 0.17 times; 30P 30P 5.1P 35.1P. Calculate New Consumption: Let the new consumption be W. We have the equation W times; 1.35P 35.1P.

Solving for W:

Therefore, the new quantity consumed by the family is 26 kg.

Scenario 3: 32% Price Increase with 10% Reduction in Consumption

Assume the price of rice increases by 32% and the family reduces their consumption by 10%. We want to calculate the new amount of rice consumed by the family.

Calculation:

Let the original price be P and the original consumption be 100 kg.

Step 1: New price per kg: 1.32P

Step 2: New consumption: 100 - 10 110 text{ kg}end{mathJaax}

Step 3: Calculating the reduction needed: 132 - 110 22 text{ kg}

Step 4: Reduction in 30 kg, given as: frac{22}{132} times 30 5 text{ kg}end{mathJaax}

Therefore, the new monthly consumption is 30 - 5 25 kg.

Summary of Findings:

Rice Price Increase: Understanding how price increases impact household budgets is crucial for smarter spending. Family Expenditure: Effective management of family expenses during price fluctuations can save money and reduce financial stress. Consumption Change: Adjusting consumption levels to manage costs and maintain financial stability during price hikes is essential for sustainability.

In conclusion, these scenarios provide clear insights into how families can manage their rice consumption in response to price increases. Understanding these principles can help households better navigate economic uncertainties, leading to more financially secure families.