CUET Ug 2022 General Test Question 27
This is a detailed step-by-step solution for CUET Ug 2022 General Test Question 27. Understand the concept, common mistakes, and expert tips to solve similar questions in CUET exam.
CUET UG 2022 - General Test
To determine the percent by which consumption should be reduced so that the expense remains the same after a 25% increase in sugar price, we can set up a proportion.
Let's assume the original price of sugar is 100 units (you can use any value as the base, as the percentage change will remain the same).
After a 25% increase in price, the new price of sugar will be 100 + (25% of 100) = 100 + 25 = 125 units.
Now, let's assume the original consumption of sugar is "x" units.
The original expense is the price multiplied by the consumption:
Expense = Price × Consumption = 100 × x = 100x
To keep the expense the same after the price increase, the new consumption should be reduced.
Let's assume the new consumption is "y" units.
The new expense is the new price multiplied by the new consumption:
Expense = New Price × New Consumption = 125 × y = 125y
Since we want the new expense to be equal to the original expense, we set up the equation:
100x = 125y
Now, let's solve for y to find the new consumption:
y = (100x)/125
y = 4x/5
To determine the percentage change in consumption, we calculate the
difference between the original consumption (x) and the new consumption
(y), divide it by the original consumption (x), and multiply by 100:
Percentage Change in Consumption = [(x - y)/x] × 100
Percentage Change in Consumption = [(x - 4x/5)/x] × 100
Percentage Change in Consumption = [(x/5)/x] × 100
Percentage Change in Consumption = (1/5) × 100
Percentage Change in Consumption = 20%
Therefore, consumption should be reduced by 20% to keep the expense the same after a 25% increase in sugar price.