A retailer offers the following discount schemes for buyers on an article.
A retailer offers the following discount schemes for buyers on an article. Which scheme will be the LEAST beneficial to the customer?
i. A discount of 37%.
ii. A discount of 33% followed by a discount of 43%.
iii. Successive discounts of 46% and 22%.
एक खुदरा विक्रेता अपने ग्राहकों को एक वस्तु पर निम्नलिखित छूट स्कीमें प्रदान करता है। कौन – सी स्कीम ग्राहक के लिए सबसे कम लाभदायक होगी?
i. 37% की छूट
ii. 33% की छूट के बाद 43% की छूट
iii. 46% और 22% की क्रमिक छूट
Detailed Solution & Logic
Scheme i / योजना i
Assume marked price = ₹100 (for easy comparison).
Scheme i:
Single discount = 37%
Selling price = $100 - 37 = 63$
Scheme ii:
First discount = 33%
Price after first discount
= $100 - 33 = 67$
Second discount = 43% on 67
Discount = $43% \times 67 = 28.81$
Final price = $67 - 28.81 = 38.19$
Scheme iii:
First discount = 46%
Price after first discount
= $100 - 46 = 54$
Second discount = 22% on 54
Discount = $22% \times 54 = 11.88$
Final price = $54 - 11.88 = 42.12$
Comparison (Customer pays):
-
Scheme i → ₹63
-
Scheme ii → ₹38.19
-
Scheme iii → ₹42.12
Customer benefits more when price is lower.
Correct Answer: Scheme i
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