The price of cloth was reduced by 25% and also the quantity of cloth ...
Price = −25% = 1/4
Sale = +20% = 1/5
Required % decrease = 2/20 x 100 = 10%
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The price of cloth was reduced by 25% and also the quantity of cloth ...
Solution:
Given, the price of cloth was reduced by 25% and the quantity of cloth sold increased by 20%.
Let us assume the initial price of cloth as 100 and the initial quantity sold as 100 units.
After the reduction in price by 25%, the new price will be 75.
Also, the quantity of cloth sold increased by 20%, which means the new quantity sold will be 120 units.
Therefore, the initial gross receipt of the shop will be 100 x 100 = 10,000.
After the reduction in price and increase in quantity, the new gross receipt will be 75 x 120 = 9,000.
Hence, there is a decrease of 1,000 in the gross receipt.
To find the percentage change in the gross receipt, we use the formula:
Percentage change = (Difference / Initial value) x 100
Here, the difference is 1,000 and the initial value is 10,000.
Therefore, the percentage change in the gross receipt = (1,000 / 10,000) x 100 = 10%
Hence, the correct option is (c) 10% increase.
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