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The successive discount of 25%, 20% and 10% is equivalent to a single discount of: (SSC Sub. Ins.2018 )
- a)44%
- b)46%
- c)54%
- d)48%
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The successive discount of 25%, 20% and 10% is equivalent to a single ...
Amount after first discount 
Amount after second discount
Amount after third discount
∴ Equivalent discount = 100 – 54 = 46%
Amount after second discount
Amount after third discount
∴ Equivalent discount = 100 – 54 = 46%
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The successive discount of 25%, 20% and 10% is equivalent to a single ...
Successive Discounts
To find the equivalent single discount of successive discounts, we need to calculate the overall discount percentage.
Given Discounts
- First discount: 25%
- Second discount: 20%
- Third discount: 10%
Calculating Equivalent Discount
To calculate the equivalent single discount, we can use the formula:
Equivalent Discount = 100 - ((100 - Discount1) * (100 - Discount2) * (100 - Discount3))/100
Substitute the given discount percentages into the formula:
Equivalent Discount = 100 - ((100 - 25) * (100 - 20) * (100 - 10))/100
Equivalent Discount = 100 - (75 * 80 * 90)/100
Equivalent Discount = 100 - 5400/100
Equivalent Discount = 100 - 54
Equivalent Discount = 46%
Therefore, the equivalent single discount of successive discounts of 25%, 20%, and 10% is 46%.
To find the equivalent single discount of successive discounts, we need to calculate the overall discount percentage.
Given Discounts
- First discount: 25%
- Second discount: 20%
- Third discount: 10%
Calculating Equivalent Discount
To calculate the equivalent single discount, we can use the formula:
Equivalent Discount = 100 - ((100 - Discount1) * (100 - Discount2) * (100 - Discount3))/100
Substitute the given discount percentages into the formula:
Equivalent Discount = 100 - ((100 - 25) * (100 - 20) * (100 - 10))/100
Equivalent Discount = 100 - (75 * 80 * 90)/100
Equivalent Discount = 100 - 5400/100
Equivalent Discount = 100 - 54
Equivalent Discount = 46%
Therefore, the equivalent single discount of successive discounts of 25%, 20%, and 10% is 46%.
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