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The price of cloth was reduced by 25% and also the quantity of cloth sold increased by 20%. What was the effect on the gross receipt of the shop?
  • a)
    5% increase
  • b)
    5% decrease
  • c)
    10% increase
  • d)
    10% decrease
  • e)
    15% increase
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
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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Most Upvoted Answer
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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The price of cloth was reduced by 25% and also the quantity of cloth sold increased by 20%. What was the effect on the gross receipt of the shop?a)5% increaseb)5% decreasec)10% increased)10% decreasee)15% increaseCorrect answer is option 'C'. Can you explain this answer?
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