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What will be the net discount (in percentage) after two successive discounts of 40% and 20%? (SSC Sub. Ins. 2017)
- a)60
- b)68
- c)52
- d)42
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
What will be the net discount (in percentage) after two successive dis...
To calculate the net discount after two successive discounts of 40% and 20%, we can use the concept of successive percentage discounts.
First Discount:
Given that the first discount is 40%. This means that the customer will pay only 60% of the original price after the first discount.
Second Discount:
Given that the second discount is 20%. This means that the customer will pay only 80% of the price after the first discount.
Calculating the Net Discount:
To calculate the net discount, we need to find the equivalent discount if the customer were to receive a single discount.
Let's assume the original price is 100.
After the first discount of 40%, the price becomes 60.
After the second discount of 20%, the price becomes 0.8 * 60 = 48.
To find the net discount, we need to find the percentage decrease from the original price to the final price.
Percentage Decrease = (Original Price - Final Price) / Original Price * 100
Substituting the values:
Percentage Decrease = (100 - 48) / 100 * 100 = 52%
Therefore, the net discount after two successive discounts of 40% and 20% is 52%.
So, the correct answer is option C, 52%.
First Discount:
Given that the first discount is 40%. This means that the customer will pay only 60% of the original price after the first discount.
Second Discount:
Given that the second discount is 20%. This means that the customer will pay only 80% of the price after the first discount.
Calculating the Net Discount:
To calculate the net discount, we need to find the equivalent discount if the customer were to receive a single discount.
Let's assume the original price is 100.
After the first discount of 40%, the price becomes 60.
After the second discount of 20%, the price becomes 0.8 * 60 = 48.
To find the net discount, we need to find the percentage decrease from the original price to the final price.
Percentage Decrease = (Original Price - Final Price) / Original Price * 100
Substituting the values:
Percentage Decrease = (100 - 48) / 100 * 100 = 52%
Therefore, the net discount after two successive discounts of 40% and 20% is 52%.
So, the correct answer is option C, 52%.
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Community Answer
What will be the net discount (in percentage) after two successive dis...
Required net discount 
= (60 – 8)% = 52%
= (60 – 8)% = 52%
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