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Giving two successive discounts of 40% is equal to giving one discount of ________%.
- a)80
- b)96
- c)64
- d)72
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Giving two successive discounts of 40% is equal to giving one discoun...
To find the equivalent discount of giving two successive discounts of 40%, we can use the formula:
Equivalent discount = 100 - (100 - discount1) × (100 - discount2) / 100
Given that both discounts are 40%, we substitute the values into the formula:
Equivalent discount = 100 - (100 - 40) × (100 - 40) / 100
= 100 - 60 × 60 / 100
= 100 - 36
= 64%
Therefore, giving two successive discounts of 40% is equal to giving one discount of 64%.
Explanation:
- We are given two successive discounts of 40% each.
- The first discount of 40% means that the price is reduced by 40%.
- The second discount of 40% means that the price is further reduced by 40% of the already discounted price.
- To find the equivalent discount, we need to calculate the final price after applying both discounts and then find the percentage reduction.
- The formula mentioned above calculates the equivalent discount.
- By substituting the values into the formula, we find that the equivalent discount is 64%.
- This means that giving one discount of 64% is equivalent to giving two successive discounts of 40%.
Therefore, the correct answer is option C) 64%.
Equivalent discount = 100 - (100 - discount1) × (100 - discount2) / 100
Given that both discounts are 40%, we substitute the values into the formula:
Equivalent discount = 100 - (100 - 40) × (100 - 40) / 100
= 100 - 60 × 60 / 100
= 100 - 36
= 64%
Therefore, giving two successive discounts of 40% is equal to giving one discount of 64%.
Explanation:
- We are given two successive discounts of 40% each.
- The first discount of 40% means that the price is reduced by 40%.
- The second discount of 40% means that the price is further reduced by 40% of the already discounted price.
- To find the equivalent discount, we need to calculate the final price after applying both discounts and then find the percentage reduction.
- The formula mentioned above calculates the equivalent discount.
- By substituting the values into the formula, we find that the equivalent discount is 64%.
- This means that giving one discount of 64% is equivalent to giving two successive discounts of 40%.
Therefore, the correct answer is option C) 64%.
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Community Answer
Giving two successive discounts of 40% is equal to giving one discoun...
Single equivalent discount =
= (80 – 16)% = 64%
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