Question
Download Solution PDFThe price of a vegetables is reduced by 25%, but the daily sale of the vegetables is increased by 30%. Find the net effect on the daily sale.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Price of vegetables reduced by 25%.
Daily sale increased by 30%.
Calculation:
Let the initial price be P and the initial sale be S.
Initial daily sale amount = P × S
Price is reduced by 25%, so the new price is P - 0.25P = 0.75P
Sale is increased by 30%, so the new sale is S + 0.30S = 1.30S
New daily sale amount = (0.75P) × (1.30S) = 0.975PS
Change in daily sale amount = 0.975PS - PS = -0.025PS
Percentage change = (Change / Initial) × 100
Percentage change = (-0.025PS / PS) × 100
Percentage change = -0.025 × 100
Percentage change = -2.5%
∴ The net effect on the daily sale is a decrease of 2.5%.
Shortcut Trick
Formula used:
Net change = a + b + (ab / 100)
Where a is the percentage change in price and b is the percentage change in sale.
Calculation:
Using the formula:
a = -25 (reduction in price)
b = 30 (increase in sale)
Net change = -25 + 30 + ((-25 × 30) / 100)
Net change = 5 + (-750 / 100)
Net change = 5 - 7.5
Net change = -2.5%
∴ The net effect on the daily sale is a decrease of 2.5%.
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