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Three successive discounts of 20% on the marked price of a commodity are together equivalent to a single discount of
- a)60.0%
- b)55.8%
- c)50.2%
- d)48.8%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Three successive discounts of 20% on the marked price of a commodity a...
Equivalent Discount = 100 - 100 
Most Upvoted Answer
Three successive discounts of 20% on the marked price of a commodity a...
X- (x*20/100) = 0.8x
0.8x - (0.8x*20/100) = 0.64x
0.64x - (0.64x*20/100) = 0.512x
x - (x*48.8/100) =0.512x
thus, three times successive discount of 20%
is equivalent to one time discount of 48.8%.
0.8x - (0.8x*20/100) = 0.64x
0.64x - (0.64x*20/100) = 0.512x
x - (x*48.8/100) =0.512x
thus, three times successive discount of 20%
is equivalent to one time discount of 48.8%.
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Three successive discounts of 20% on the marked price of a commodity a...
Given:
- Three successive discounts of 20% on the marked price of a commodity are together equivalent to a single discount.
To find:
- The equivalent single discount percentage.
Solution:
Let's assume the marked price of the commodity is Rs. 100.
Step 1: Calculate the first discount:
- The first discount of 20% on the marked price of Rs. 100 will be 20/100 * 100 = Rs. 20.
- So, the selling price after the first discount is Rs. 100 - Rs. 20 = Rs. 80.
Step 2: Calculate the second discount:
- The second discount of 20% on the selling price of Rs. 80 will be 20/100 * 80 = Rs. 16.
- So, the selling price after the second discount is Rs. 80 - Rs. 16 = Rs. 64.
Step 3: Calculate the third discount:
- The third discount of 20% on the selling price of Rs. 64 will be 20/100 * 64 = Rs. 12.80.
- So, the selling price after the third discount is Rs. 64 - Rs. 12.80 = Rs. 51.20.
Step 4: Calculate the equivalent single discount:
- The difference between the marked price and the selling price after the third discount is Rs. 100 - Rs. 51.20 = Rs. 48.80.
- The equivalent single discount percentage can be calculated as (Discount/Selling Price) * 100.
- So, the equivalent single discount percentage is (48.80/100) * 100 = 48.8%.
Therefore, the correct answer is option 'D' - 48.8%.
- Three successive discounts of 20% on the marked price of a commodity are together equivalent to a single discount.
To find:
- The equivalent single discount percentage.
Solution:
Let's assume the marked price of the commodity is Rs. 100.
Step 1: Calculate the first discount:
- The first discount of 20% on the marked price of Rs. 100 will be 20/100 * 100 = Rs. 20.
- So, the selling price after the first discount is Rs. 100 - Rs. 20 = Rs. 80.
Step 2: Calculate the second discount:
- The second discount of 20% on the selling price of Rs. 80 will be 20/100 * 80 = Rs. 16.
- So, the selling price after the second discount is Rs. 80 - Rs. 16 = Rs. 64.
Step 3: Calculate the third discount:
- The third discount of 20% on the selling price of Rs. 64 will be 20/100 * 64 = Rs. 12.80.
- So, the selling price after the third discount is Rs. 64 - Rs. 12.80 = Rs. 51.20.
Step 4: Calculate the equivalent single discount:
- The difference between the marked price and the selling price after the third discount is Rs. 100 - Rs. 51.20 = Rs. 48.80.
- The equivalent single discount percentage can be calculated as (Discount/Selling Price) * 100.
- So, the equivalent single discount percentage is (48.80/100) * 100 = 48.8%.
Therefore, the correct answer is option 'D' - 48.8%.
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Three successive discounts of 20% on the marked price of a commodity are together equivalent to a single discount ofa)60.0%b)55.8%c)50.2%d)48.8%Correct answer is option 'D'. Can you explain this answer?
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