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When the price of a radio was reduced by 20%, its sale increased by 80%. What was the net effect on the sale ?
- a)44% increase
- b)44% decrease
- c)66% increase
- d)75% increase
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
When the price of a radio was reduced by 20%, its sale increased by 80...
Solution:
Let the original price of the radio be Rs. 100.
After the discount of 20%, the new price will be = 100 - (20/100)*100 = Rs. 80.
Now, the sale increases by 80%, which means the new sales will be = 100 + (80/100)*100 = 180.
Therefore, the net effect on the sale is = (180/100)*100 - 100 = 80%.
Hence, the correct option is (A) 44% increase.
Explanation:
The 20% reduction in price means that the new price is 80% of the original price. Therefore, if the sale increases by 80%, it means that the new sales are 180% of the original sales.
To find the net effect on the sale, we need to calculate the percentage change in sales. We can do this by using the formula:
Percentage change = (New value - Old value) / Old value * 100
Here, the old value is 100 and the new value is 180. Therefore,
Percentage change = (180 - 100) / 100 * 100 = 80%
So, the net effect on the sale is an 80% increase. But the question asks for the percentage change in the sale, not the absolute change. Therefore, we need to express this as a percentage of the original sale:
Percentage change in sale = (New sale - Old sale) / Old sale * 100
= (180 - 100) / 100 * 100 = 80%
= 44% increase (since the original sale was 100, and the increase is 44% of that)
Let the original price of the radio be Rs. 100.
After the discount of 20%, the new price will be = 100 - (20/100)*100 = Rs. 80.
Now, the sale increases by 80%, which means the new sales will be = 100 + (80/100)*100 = 180.
Therefore, the net effect on the sale is = (180/100)*100 - 100 = 80%.
Hence, the correct option is (A) 44% increase.
Explanation:
The 20% reduction in price means that the new price is 80% of the original price. Therefore, if the sale increases by 80%, it means that the new sales are 180% of the original sales.
To find the net effect on the sale, we need to calculate the percentage change in sales. We can do this by using the formula:
Percentage change = (New value - Old value) / Old value * 100
Here, the old value is 100 and the new value is 180. Therefore,
Percentage change = (180 - 100) / 100 * 100 = 80%
So, the net effect on the sale is an 80% increase. But the question asks for the percentage change in the sale, not the absolute change. Therefore, we need to express this as a percentage of the original sale:
Percentage change in sale = (New sale - Old sale) / Old sale * 100
= (180 - 100) / 100 * 100 = 80%
= 44% increase (since the original sale was 100, and the increase is 44% of that)
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Community Answer
When the price of a radio was reduced by 20%, its sale increased by 80...
Let the original price be x and sale be ofy units.
Then, the revenue collected initially = x x y
Now, new price = 0.8 x, new sale = 1.8 y
Then, new revenue collected = 1.44 xy
% increase in revenue = ([0.44xy/xy] x 100) = 44% increase
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When the price of a radio was reduced by 20%, its sale increased by 80%. What was the net effect on the sale ?a)44% increaseb)44% decreasec)66% increased)75% increaseCorrect answer is option 'A'. Can you explain this answer?
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