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A shopkeeper offers two successive discounts of 15% and 20% on an article and is still able to earn a 70% profit. If he offers a
single discount of 30%, what will his profit percentage be?
70%
75%
65%
50%
- The shopkeeper gives two discounts, 15% followed by 20%.
- Selling price after these discounts is 68% of the marked price (0.85 * 0.80 = 0.68).
- Despite this, he earns a 70% profit.
- If the marked price is denoted by M and cost price by C, then:
$$
\frac{0.68 \times M}{C} = 1.70
This implies M=1.70C0.68.
- For a single 30% discount, the selling price is 70% of M.
- Substitute M=1.70C0.68:
Selling price = 0.70 * 1.70C0.68 = 1.75C.
- The profit percentage with a 30% discount is 75%.
- Answer: Option 2 - 75%
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