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A watch having marked price as Rs 8400 is sold for Rs 5040 after two successive discounts. If the first discount is 25% then what is the numerical value of second discount percentage?
- a)15
- b)20
- c)25
- d)30
Correct answer is option 'B'. Can you explain this answer?
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Given:
- Marked price of the watch: Rs 8400
- First discount: 25%
- Selling price after two successive discounts: Rs 5040
To Find: Numerical value of the second discount percentage
Explanation:
To find the numerical value of the second discount percentage, we need to determine the effective discount applied on the selling price after the first discount.
Step 1: Calculate the selling price after the first discount
The first discount is 25%. This means the customer pays only 75% of the marked price. Therefore, the selling price after the first discount can be calculated as:
Selling Price after First Discount = Marked Price - (First Discount % * Marked Price)
= 8400 - (25/100 * 8400)
= 8400 - (0.25 * 8400)
= 8400 - 2100
= 6300
Step 2: Calculate the effective discount on the selling price
The selling price after the first discount is Rs 6300. If the final selling price after two successive discounts is Rs 5040, then the effective discount applied on the selling price after the first discount can be calculated as:
Effective Discount % = (Selling Price after First Discount - Final Selling Price) / Selling Price after First Discount * 100
= (6300 - 5040) / 6300 * 100
= 1260 / 6300 * 100
= 20
Hence, the numerical value of the second discount percentage is 20% (Option B).
- Marked price of the watch: Rs 8400
- First discount: 25%
- Selling price after two successive discounts: Rs 5040
To Find: Numerical value of the second discount percentage
Explanation:
To find the numerical value of the second discount percentage, we need to determine the effective discount applied on the selling price after the first discount.
Step 1: Calculate the selling price after the first discount
The first discount is 25%. This means the customer pays only 75% of the marked price. Therefore, the selling price after the first discount can be calculated as:
Selling Price after First Discount = Marked Price - (First Discount % * Marked Price)
= 8400 - (25/100 * 8400)
= 8400 - (0.25 * 8400)
= 8400 - 2100
= 6300
Step 2: Calculate the effective discount on the selling price
The selling price after the first discount is Rs 6300. If the final selling price after two successive discounts is Rs 5040, then the effective discount applied on the selling price after the first discount can be calculated as:
Effective Discount % = (Selling Price after First Discount - Final Selling Price) / Selling Price after First Discount * 100
= (6300 - 5040) / 6300 * 100
= 1260 / 6300 * 100
= 20
Hence, the numerical value of the second discount percentage is 20% (Option B).
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