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The price of an edible oil is increased by 45%. To maintain the budget, Rekha reduces the consumption of this oil by 20%. Find the increase in expendi
Question

The price of an edible oil is increased by 45%. To maintain the budget, Rekha reduces the consumption of this oil by 20%. Find the increase in expenditure due to this edible oil.

A.

16%

B.

17%

C.

15%

D.

18%

Correct option is A

Given:
Price of edible oil increased by 45%.
Consumption reduced by 20%.
Concept Used:
The expenditure on a commodity is given by:
Expenditure = Price per unit × Quantity consumed
The percentage change in expenditure is calculated as:
Net change in expenditure = Change in price+Change in quantity+(Change in price×Change in quantity100)\text{Change in price} + \text{Change in quantity} + \left(\frac{\text{Change in price} \times \text{Change in quantity}}{100}\right)​​
Here, a price increase is positive, and a decrease in quantity is negative.
Solution:
Net change in expenditure = 4520+45×(20)10045 - 20 + \frac{45 \times (-20)}{100}​ = 45 – 20 – 9 = 16 %
Thus, the increase in expenditure due to the edible oil is 16%.

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