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If two successive discounts of 25% and 30% are given, then what will be the ratio of marked price to selling price?
- a)20 ∶ 7
- b)40 ∶ 21
- c)20 ∶ 17
- d)40 ∶ 33
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
If two successive discounts of 25% and 30% are given, then what will b...
Let the marked price be Rs. ‘x’
Price after first discount = (100 – 25)% of x = 75% of x = (3/4)x
Price after second discount = (100 – 30)% of (3/4)x = 70% of (3/4)x = 7/10 × (3/4)x = (21/40)x
⇒ Selling price = (21/40)x
∴ Ratio of marked price to selling price = x ∶ (21/40)x = 40 ∶ 21
Price after first discount = (100 – 25)% of x = 75% of x = (3/4)x
Price after second discount = (100 – 30)% of (3/4)x = 70% of (3/4)x = 7/10 × (3/4)x = (21/40)x
⇒ Selling price = (21/40)x
∴ Ratio of marked price to selling price = x ∶ (21/40)x = 40 ∶ 21
Most Upvoted Answer
If two successive discounts of 25% and 30% are given, then what will b...
Given:
Two successive discounts of 25% and 30% are given.
To find:
The ratio of marked price to the selling price.
Solution:
Let's assume the marked price of the item is M.
First Discount:
The first discount of 25% can be calculated as:
Discount1 = (25/100) * M = 0.25M
After the first discount, the selling price becomes:
Selling price after discount1 = M - Discount1 = M - 0.25M = 0.75M
Second Discount:
The second discount of 30% is calculated on the selling price after the first discount. Thus, the second discount can be calculated as:
Discount2 = (30/100) * (0.75M) = 0.225M
After the second discount, the selling price becomes:
Selling price after discount2 = (0.75M) - (0.225M) = 0.525M
Ratio of Marked Price to Selling Price:
To find the ratio of the marked price to the selling price, we divide the marked price by the selling price after both discounts.
Ratio = M / (0.525M) = 1 / 0.525 = 2 / 1.05
Simplifying the ratio, we get:
Ratio = 40 / 21
Therefore, the ratio of the marked price to the selling price is 40:21, which is option B.
Two successive discounts of 25% and 30% are given.
To find:
The ratio of marked price to the selling price.
Solution:
Let's assume the marked price of the item is M.
First Discount:
The first discount of 25% can be calculated as:
Discount1 = (25/100) * M = 0.25M
After the first discount, the selling price becomes:
Selling price after discount1 = M - Discount1 = M - 0.25M = 0.75M
Second Discount:
The second discount of 30% is calculated on the selling price after the first discount. Thus, the second discount can be calculated as:
Discount2 = (30/100) * (0.75M) = 0.225M
After the second discount, the selling price becomes:
Selling price after discount2 = (0.75M) - (0.225M) = 0.525M
Ratio of Marked Price to Selling Price:
To find the ratio of the marked price to the selling price, we divide the marked price by the selling price after both discounts.
Ratio = M / (0.525M) = 1 / 0.525 = 2 / 1.05
Simplifying the ratio, we get:
Ratio = 40 / 21
Therefore, the ratio of the marked price to the selling price is 40:21, which is option B.
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If two successive discounts of 25% and 30% are given, then what will be the ratio of marked price to selling price?a)20∶ 7b)40∶ 21c)20 ∶ 17d)40 ∶ 33Correct answer is option 'B'. Can you explain this answer?
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