# Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You s

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Given below are two quantities named A and B. Based on the given information, you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers.

Quantity A: A retailer shopkeeper allows two successive discounts of 20% each. If he sells an article for Rs. 240, then find the market price of the article.

Quantity B: Rs. 400

1. Quantity A > Quantity B
2. Quantity A < Quantity B
3. Quantity A ≥ Quantity B
4. Quantity A ≤ Quantity B
5. Quantity A = Quantity B or No relation.

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Correct Answer - Option 2 : Quantity A < Quantity B

Quantity A:

S.P. = M.P. × (100 – d1/100) (100 – d2/100)

SP, MP, d1 and d2 are selling price, market price, first discount and second discount respectively.

⇒ 240 = MP × (100 – 20/100) (100 – 20/100)

⇒ 240 = MP × (80/100) (80/100)

⇒ (240 × 100 × 100/80 × 80) = MP

⇒ Rs 375 = MP

∴ Market Price of the article is Rs. 375

Quantity B:

Rs. 400

Quantity A < Quantity B